 
NEUTROSOPHY, NEUTROSOPHIC LOGIC, NEUTROSOPHIC SET,
NEUTROSOPHIC PROBABILITY AND STATISTICS
(philosophy, math,
science)
Short Definitions of Neutrosophics:
1. Neutrosophic Logic is a
general framework for unification of many existing logics, such as fuzzy logic
(especially intuitionistic fuzzy logic), paraconsistent logic, intuitionistic
logic, etc. The main idea of NL is to characterize each logical statement in a
3D Neutrosophic Space, where each dimension of the space represents respectively
the truth (T), the falsehood (F), and the indeterminacy (I) of the statement
under consideration, where T, I, F are standard or nonstandard real subsets of
]^{}0,
1^{+}[
with not necessarily any connection between them.
For software
engineering proposals the classical unit interval [0, 1] is used.
For single valued neutrosophic
logic, the sum of the components is:
0
≤
t+i+f
≤
3 when all three components are independent;
0
≤
t+i+f
≤
2 when two components are dependent, while the third one is independent from
them;
0
≤
t+i+f
≤
1 when all three components are dependent.
When three or two of
the components T, I, F are
independent, one leaves room for incomplete information (sum < 1), paraconsistent and contradictory information (sum
> 1), or complete information (sum = 1).
If all three
components T, I, F are dependent, then similarly one leaves room for incomplete information (sum < 1),
or complete information (sum = 1).
See this paper on
Independent/Dependent Neutrosophic Components.
In general, the sum of two
components x and y that vary in the unitary interval [0, 1] is: 0 ≤ x+y ≤ 2d(x,y), where d(x,y) is the degree of dependence between x and y, while 1d(x,y)
is the degree of independence between x and y.
In a general Refined Neutrosophic
Logic, T can be split into subcomponents T_{1}, T_{2}, ..., T_{p},
and I into I_{1}, I_{2}, ..., I_{r}, and F into F_{1},
F_{2}, ...,F_{s}, where p+r+s = n ≥ 1. Even more: T, I, and/or F
(or any of their subcomponents T_{j}, I_{k}, and/or F_{l}) can
be countable or uncountable infinite sets.
As a particular case, one can
split the Indeterminate I into Contradiction (true and false), and Uncertainty
(true or false), and we get an extension of Belnap's fourvalued logic.
Even more, one can split I into
Contradiction, Uncertainty, and Unknown, and we get a fivevalued logic.
See this most general published case here.
As an example: a
statement can be between [0.4, 0.6] true, {0.1} or between (0.15,0.25)
indeterminate, and either 0.4 or 0.6 false.
The
Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset
(when some neutrosophic component is > 1),
since we observed that, for example, an employee
working overtime deserves a degree of membership > 1, with respect to an
employee that only works regular fulltime and whose degree of membership
= 1;
and to
Neutrosophic Underset (when some neutrosophic component is < 0),
since, for example, an employee
making more damage than benefit to his company deserves a degree of
membership < 0, with respect to an employee that produces benefit to the
company and has the degree of membership > 0;
and to and
to Neutrosophic Offset (when some neutrosophic components are off the
interval [0, 1], i.e. some neutrosophic component > 1 and some
neutrosophic component < 0).
Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics
etc. were extended to respectively Neutrosophic Over/Under/Off Logic,
Measure, Probability, Statistics etc.
http://fs.gallup.unm.edu/SVNeutrosophicOversetJMI.pdf
http://fs.gallup.unm.edu/IVNeutrosophicOversetUndersetOffset.pdf
http://fs.gallup.unm.edu/NeutrosophicOversetUndersetOffset.pdf
The distinctions between Neutrosophic Logic/Set and Intuitionistic Fuzzy Logic/Set are here.
2. Neutrosophic Set. Let U be a
universe of discourse, and M a set included in U. An element x from U is noted
with respect to the set M as x(T, I, F) and belongs to M in the following way:
it is t% true in the set, i% indeterminate (unknown if it is) in the set, and f%
false, where t varies in T, i varies in I, f varies in F.
Statically T, I, F
are subsets, but dynamically T, I, F are functions/operators depending on many
known or unknown parameters.
Neutrosophic Set
generalizes the fuzzy set (especially intuitionistic fuzzy set), paraconsistent
set, intuitionistic set, etc.
3. Neutrosophic Probability
is a generalization of the
classical probability and imprecise probability in which the chance that an
event A occurs is t% true  where t varies in the subset T, i% indeterminate 
where i varies in the subset I, and f% false  where f varies in the subset F.
In classical
probability n_sup <= 1, while in neutrosophic probability n_sup <= 3^{+}.
In imprecise
probability: the probability of an event is a subset T in [0, 1], not a number p
in [0, 1], what’s left is supposed to be the opposite, subset F (also from the
unit interval [0, 1]); there is no indeterminate subset I in imprecise
probability.
A
book on Introduction to Neutrosophic Probability is here.
4. Neutrosophic
Statistics is the analysis of
events described by the neutrosophic probability.
The function that
models the neutrosophic probability of a random variable x is called
neutrosophic
distribution: NP(x) = ( T(x), I(x),
F(x) ), where T(x) represents the probability that value x occurs, F(x)
represents the probability that value x does not occur, and I(x) represents the
indeterminate / unknown probability of value x.
A book on
Introduction to Neutrosophic Statistics is here.
5. Neutrosophy
is a new branch of philosophy that studies the origin, nature, and scope of
neutralities, as well as their interactions with different ideational spectra.
This theory
considers every notion or idea <A> together with its opposite or negation
<antiA> and with their spectrum of neutralities <neutA> in between
them (i.e. notions or ideas
supporting neither <A> nor <antiA>). The <neutA>
and <antiA> ideas together are referred to as <nonA>. Neutrosophy is
a generalization of Hegel's dialectics (the last one is based on <A> and <antiA>
only).
According to this
theory every idea <A> tends to be neutralized and balanced by <antiA> and
<nonA> ideas  as a state of equilibrium.
In a classical way
<A>, <neutA>, <antiA> are disjoint two by two.
But, since in many
cases the borders between notions are vague, imprecise, Sorites, it is
possible that <A>, <neutA>, <antiA> (and <nonA> of course) have common parts
two by two, or even all three of them as well.
The
LupascoNicolescu Law of Included Middle [<A>, <nonA>, and a
third value <T> which resolves their contradiction at another level of reality]
is generalized to the Law of Included MultipleMiddle [<A>, <antiA>, and
<neutA>, where <neutA> is split into a multitude of neutralities between <A> and
<antiA>, such as <neut_{1}A>, <neut_{2}A>, etc.]. The <neutA>
value (i.e. neutrality or indeterminacy related to <A>) actually comprises the
included middle value. Also
the Principle of Dynamic Opposition [opposition between <A> and <antiA>]
is extended to the Principle of Dynamic Neutrosophic Opposition [which
means oppositions among <A>, <antiA>, and <neutA>].
This book is here.
Neutrosophy is the
base of neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics
that are used in engineering applications (especially for software and
information fusion), medicine, military, airspace, cybernetics, physics.
The neutrosophics
were introduced by Florentin Smarandache in 1995.
An article on Neutrosophy,
A New Branch of Phylosophy is here.
THE MOST IMPORTANT PUBLICATIONS IN THE DEVELOPMENT OF NEUTROSOPHICS




19951998  Smarandache generalizes the dialectics to neutrosophy;
introduces the neutrosophic set/logic/probability/statistics;
introductes the singlevalued neutrosophic set (pp.
78);
http://fs.gallup.unm.edu/ebookneutrosophics6.pdf
(last edition)
2002 – introduces special types of sets / probabilities / statistics /
logics, such as:

intuitionistic set, paraconsistent set, faillibilist set,
paradoxist set, pseudoparadoxist set, tautological set, nihilist set,
dialetheist set, trivialist set;

intuitionistic probability and statistics, paraconsistent
probability and statistics, faillibilist
probability and statistics, paradoxist probability and statistics, pseudoparadoxist
probability and statistics, tautological probability and statistics,
nihilist probability and statistics, dialetheist probability and statistics,
trivialist probability and statistics;

paradoxist logic (or paradoxism), pseudoparadoxist logic (or
pseudoparadoxism), tautological logic (or tautologism);
http://fs.gallup.unm.edu/DefinitionsDerivedFromNeutrosophics.pdf
2003

introduction of neutrosophic numbers (a+bI, where I = indeterminacy)
2003

introduction of
Ineutrosophic algebraic structures
2003

introduction to neutrosophic cognitive maps
http://fs.gallup.unm.edu/NCMs.pdf
2005  introduction of interval neutrosophic set/logic
http://fs.gallup.unm.edu/INSL.pdf
2006  introduction of the degree of
dependence and degree of independence between T, I, and F
http://fs.gallup.unm.edu/eBookneutrosophics6.pdf (last edition)
[p. 92]
http://fs.gallup.unm.edu/NSS/DegreeOfDependenceAndIndependence.pdf
2007

The
Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset
(when some neutrosophic component is > 1), and to Neutrosophic Underset
(when some neutrosophic component is < 0), and to and to Neutrosophic Offset
(when some neutrosophic components are off the interval [0, 1], i.e. some
neutrosophic component > 1 and some neutrosophic component < 0).
Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics etc.
were extended to respectively Neutrosophic Over/Under/Off Logic, Measure,
Probability, Statistics etc.
http://fs.gallup.unm.edu/SVNeutrosophicOversetJMI.pdf
http://fs.gallup.unm.edu/IVNeutrosophicOversetUndersetOffset.pdf
http://fs.gallup.unm.edu/NeutrosophicOversetUndersetOffset.pdf
2007
 introduction
of the Neutrosophic Tripolar Set and
Neutrosophic Multipolar Set [Smarandache]
and consequently

the Neutrosophic Tripolar Graph and Neutrosophic
Multipolar Graph
http://fs.gallup.unm.edu/eBookneutrosophics6.pdf (last edition)
[p. 93]
http://fs.gallup.unm.edu/IFSgeneralized.pdf
2009

introduction of Nnorm and Nconorm
http://fs.gallup.unm.edu/NnormNconorm.pdf
2013  development of neutrosophic probability:
(chance that an event occurs, indeterminate chance of occurrence, chance that the event does not occur).
http://fs.gallup.unm.edu/NeutrosophicMeasureIntegralProbability.pdf
2013  refinement of components (T1, T2, ...; I1, I2, ...; F1, F2, ...)
http://fs.gallup.unm.edu/nValuedNeutrosophicLogic.pdf
2014

introduction of the law of included multiple middle
(<A>; <neut1A>, <neut2A>,
...;
<antiA>)
http://fs.gallup.unm.edu/LawIncludedMultipleMiddle.pdf
2014  development of neutrosophic statistics (indeterminacy is introduced
into classical statistics with respect to the sample/population, or with
respect to the individuals that only partially belong to a
sample/population)
http://fs.gallup.unm.edu/NeutrosophicStatistics.pdf
2015  introduction of neutrosophic precalculus and neutrosophic calculus
http://fs.gallup.unm.edu/NeutrosophicPrecalculusCalculus.pdf
2015

refined neutrosophic numbers (a+ b1I1 + b2I2 +
...
+ bnIn)
2015

neutrosophic graphs
2015 
ThesisAntithesisNeutrothesis, and Neutrosynthesis, Neutrosophic Axiomatic
System,
neutrosophic dynamic systems, symbolic neutrosophic logic,
(t, i, f)Neutrosophic Structures, INeutrosophic Structures,
Refined Literal Indeterminacy, Multiplication Law of Subindeterminacies:
http://fs.gallup.unm.edu/SymbolicNeutrosophicTheory.pdf

BOOKS ON NEUTROSOPHICS

Neutrosophic Overset,
Neutrosophic Underset, and Neutrosophic Offset. Similarly for Neutrosophic
Over/Under/Off Logic, Probability, and Statistics
very new 

Introduction to Neutrosophic Measure, Neutrosophic Integral, and
Neutrosophic Probability new 

Introduction to Neutrosophic Statistics
new 


Neutrosophic Precalculus and Neutrosophic Calculus
new 

مبادئ التفاضل والتكامل النيوتروسوفكي و حساب التفاضل والتكامل النيوتروسوفكي
حديثا 

Symbolic Neutrosophic Theory
new 

Law of Included MultipleMiddle & Principle of Dynamic Neutrosophic
Opposition 

New Trends in Neutrosophic Theory and Applications 

Neutrosophic Graphs: A New Dimension to Graph Theory 

Strong Neutrosophic Graphs and
Subgraph Topological Spaces 

Soft Neutrosophic Algebraic Structures and Their Generalization (Vol.
1,
Vol. 2) 

New Research on Neutrosophic Algebraic Structures 

Pseudo Lattice Graphs and their Applications to Fuzzy and Neutrosophic
Models 

New Techniques to Analyse the Prediction of Fuzzy Models 

Algebraic Structures on Fuzzy Unit Square and Neutrosophic Unit square 

Algebraic Structures on Real and Neutrosophic Semi Open Squares 

Finite Neutrosophic Complex Numbers 

Neutrosophic Interval Bialgebraic Structures 

Neutrosophic Bilinear Algebras and Their Generalizations
Interval Groupoids 

Neutrality and ManyValued Logics 

Neutrosophy in Arabic Philosophy 

(
,
)
[Arabic] 

Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps 

Fuzzy Relational Maps and Neutrosophic Relational Maps 

Analysis of Social Aspects of Migrant Labourers Living with HIV/AIDS Using
Fuzzy Theory and Neutrosophic Cognitive Maps 

Smarandache Neutrosophic Algebraic Structures 

Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and
Neutrosophic Models 

Fuzzy Neutrosophic Models for Social Scientists 

Neutrosophic Rings 

Infinite Quaternion Pseudo Rings Using [0, n) 

Interval Groupoids 

Neutrosophic Crisp Set Theory 

A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic
Set, Neutrosophic Probability and Statistics (last edition) 

Сущность нейтрософии;
Смарадаке
Ф.(перевод Д. Рабунского)[Russian] 

逻辑学的统一：中智逻辑
中智学，中智集合论，中智概率论 (Chinese)
[1,
2] 

中道辩证法与唯道主义自然哲学[Chinese Neutrosophy and Taoist Natural Philosophy](Chinese) 

Neutrosophic
Interpretation of Tao Te Ching (道德经的中智学解读和扩充 ?正反及中智道德经) [EnglishChinese] 

Neutrosophic Interpretation of The Analects of Confucius 弗羅仁汀·司馬仁達齊，傅昱華
論語的中智學解讀和擴充 —正反及中智論語
EnglishChinese Bilingual（英汉双语 ) 

Neutrosofia ca reflectarea a realităţii neconvenţionale [Romanian] 

Proceedings of the First International Conference on Neutrosophy,
Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and
Statistics 

Proceedings of the Introduction to Neutrosophic Physics: Unmatter &
Unparticle International Conference 

Introduction to Neutrosophic Logic 



Interval Neutrosophic Sets and Logic: Theory and Applications in Computing 

Neutrosophic Dialogues 

Neutrosophic Emergences and Incidences in Communication and Information 

Communication Neutrosophic Routes 

Topical Communication Uncertainties 

Introduction to Bimatrices 



Applications of Bimatrices to some Fuzzy and Neutrosophic Models 



Fuzzy Interval Matrices and Neutrosophic Interval Matrices and their
Applications 

Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists 



Special Fuzzy Matrices for Social Scientists 



Methods in Industrial Biotechnology for Chemical Engineers 



Introduction to Linear Bialgebra 



Euclid Squares on Infinite Planes 

Uncertainty Communication Solution in Neutrosophic Key 

Fuzzy and Neutrosophic Analysis of Women with HIV/AIDS 



Fuzzy and Neutrosophic Analysis of Periyar's Views on Untouchability 



Some Neutrosophic Algebraic Structures and Neutrosophic NAlgebraic
Structures 



Neutrosophic Super Matrices and Quasi Super Matrices 

Vedic Mathematics  'Vedic' or 'Mathematics': A Fuzzy & Neutrosophic
Analysis 

Proceedings of the First International Conference on Smarandache Multispace
& Multistructure 



Nidus Idearum de Neutrosophia (blog) 

Neutrosophic Logic, Wave Mechanics, and Other Stories (Selected Works
20052008) 

Neutrosophic Physics: More Problems, More Solutions (Collected Papers) 

Unmatter Plasma, Relativistic ObliqueLength Contraction Factor,
Neutrosophic Diagram and Neutrosophic Degree of Paradoxicity
new 

Neutrosophic Theory and its Applications, Vol. 1 
PH D DISSERTATIONS ON NEUTROSOPHICS
AND THEIR APPLICATIONS:

Eng. Stefan Adrian Dumitru,
Contributii in dezvoltarea
sistemelor de control neuronal al miscarii robotilor mobili autonomi,
adviser
Dr. Luige
Vlădăreanu, Institute of Solid Mechanics, Romanian Academy, Bucharest, 25
September, 2014. 

Eng. Dănuț Adrian Bucur, Contribuţii
in
controlul mișcării sistemelor de prehensiune pentru roboți și maini umanoide
inteligente,
adviser
Dr. Luige
Vlădăreanu, Institute of Solid Mechanics, Romanian Academy, Bucharest, 25
September, 201
4. 

Eng. Daniel Octavian Melinte, Cercetari
teoretice si experimentale privind controlul sistemelor mecanice de
pozitionare cu precizie ridicata, advisers
Dr. Luige
Vlădăreanu & Dr. Florentin Smarandache, Institute of Solid Mechanics,
Romanian Academy, Bucharest, September 2014
. 

Eng. Ionel Alexandru Gal, Contributions to the Development of Hybrid
ForcePosition Control Strategies for Mobile Robots Control, advisers
Dr. Luige Vlădăreanu & Dr. Florentin Smarandache, Institute of Solid
Mechanics, Romanian Academy, Bucharest, October 14, 2013. 

Smita Rajpal, Intelligent Searching Techniques to Answer Queries in
RDBMS, Ph D Dissertation in progress, under the supervision of Prof. M.
N. Doja, Department of Computer Engineering Faculty of Engineering, Jamia
Millia Islamia, New Delhi, India, 2011. 



Josue Antonio Nescolarde Selva, A Systematic Vision of Belief Systems and
Ideologies, under the supervision of Dr. Josep Llus Us0 I Domenech, Dr.
Francesco Eves Macia, Universidad de Alicante, Spain, 2010. 

Ming Zhang, Novel Approaches to Image Segmentation Based
on Neutrosophic Logic,
Ph D Dissertation, Utah State University, Logan, Utah, USA, All
Graduate Theses and Dissertations, Paper 795,
http://digitalcommons.usu.edu/etd/795, 121201, 2010. 



Haibin Wang,
Study on Interval Neutrosophic Set and Logic, Georgia State University,
Atlanta, USA, 2005. 



Sukanto Bhattacharya, Utility, Rationality and Beyond  From Finance to
Informational Finance [using Neutrosophic Probability], Bond University,
Queensland, Australia, 2004. 
INTERNATIONAL CONFERENCES ON
NEUTROSOPHICS:
International Conference on Information Fusion,
Tutorial on Foundations of Neutrosophic Set and Logic and Their Applications to
Information Fusion, by F. Smarandache, 7th July 2014, Salamanca, Spain.
International Conference on Applications of Plausible, Paradoxical, and
Neutrosophic Reasoning
for Information Fusion,
Cairns, Queensland, Australia, 811 July 2003.
First International Conference on Neutrosophy, Neutrosophic Logic, Set,
Probability and Statistics, University of New Mexico, Gallup Campus, 13
December 2001.
TUTORIAL
Tutorial on the
Foundations of Neutrosophic Logic and Set and
their Applications in Science
ARTICLES ON NEUTROSOPHICS:
Introducing a Theory of Neutrosophic Evolution: Degrees of Evolution,
Indeterminacy, and Involution, by Florentin
Smarandache, Prog. Phys., 13 (2017), pp. 130135.
Aggregation operators of neutrosophic linguistic numbers for multiple attribute
group decision making,
by Yun Ye. Published in Springer Plus, (2016), DOI
10.1186/s4006401632475, 11 p.
A Hybrid Fuzzy CMeans and Neutrosophic for jaw lesions segmentation,
by Mutasem K. Alsmadi. Published in Ain Shams Engineering Journal, 2016,
10 p.
Algorithms for neutrosophic soft decision making based on EDAS and new
similarity measure,
by Xindong Peng and Chong Liu. Published in Journal of Intelligent & Fuzzy
Systems, 11 p.
A Method of Disease Detection and Segmentation of Retinal Blood Vessels using
Fuzzy CMeans and Neutrosophic Approach,
by Ishmeet Kaur and Lalit Mann Singh. Published in Imperial Journal of
Interdisciplinary Research (IJIR), Vol. 2, Issue 6, 2016, pp. 551557.
A Model for Medical Diagnosis via Fuzzy Neutrosophic Soft Sets,
Yildiray Celi. Published in Asian Journal of Mathematics and Computer
Research 10(1): 6068, 2016, ISSN: 23954205 (P), ISSN: 23954213 (O), 9 p.
A MultiCriteria DecisionMaking Method Using Power Aggregation Operators for
Singlevalued Neutrosophic Sets,
by Lihua Yang and Baolin Li. Published in International Journal of Database
and Theory and Application, Vol. 9, No. 2 (2016), pp. 2332.
An Adaptive Color Similarity Function Suitable for Image Segmentation and its
Numerical Evaluation,
by Rodolfo AlvaradoCervantes, Edgardo M. FelipeRiveron, Vladislav Khartchenko,
Oleksiy Pogrebnyak. Published in Wiley Periodicals, 2016, 17 p.
An Algorithm for Medical Magnetic Resonance Image NonLocal Means Denoising,
by Stefan Korolija, Eva Tuba and Milan Tuba. Published in International
Journal of Signal Processing, ISSN: 23678984, Volume 1, 2016, pp. 138145.
Analysis of side effects of chemotheraphy treatment for cancer patients using
Neutrosophic cognitive graphs (NCG),
by Ashit Kumar Dutta. Published in International Journal of Applied
Engineering Research, ISSN 09734562, Volume 11, Number 1 (2016), pp.
401403.
An Automatic Segmentation & Detection of Blood Vessels and Optic Disc in Retinal
Images,
by Anchal Sharma, Shaveta Rani. Published in International Conference on
Communication and Signal Processing, April 68, 2016, India, pp. 16741678.
An Efficient Image Denoising Approach Based on Dictionary Learning,
by Mohammadreza Karimipoor, Vahid Abolghasemi and Saideh Ferdowsi. Published in
International Journal of Mathematics and Computational Science, Vol. 2,
No. 1, 2016, 7 p.
An Efficient Soft SetBased Approach for Conflict Analysis,
by Edi Sutoyo, Mungad Mungad, Suraya Hamid, Tutut Herawan. Published in PLoS
ONE, February 29, 2016, 31 p.
An Ensemble Data Preprocessing Approach for Intrusion Detection System Using
variant Firefly and BkNN Techniques,
by D. Shona and M. Senthilkumar. Published in International Journal of
Applied Engineering Research, ISSN 09734562, Volume 11, Number 6 (2016),
pp. 41614166.
An ensembe design of intrusion detection system for handing uncertainty using
Neutrosophic Logic Classifier,
by B. Kavitha, S. Karthikeyan and P. Sheeba Maybell. Published in
KnowledgeBased Systems, no. 28, 2012, pp. 8896.
A Neutrosophic Recommender System for Medical Diagnosis Based on Algebraic
Neutrosophic Measures,
by Mumtaz Ali, Nguyen Van Minh, Le Hoang Son. 76 p.
A New Approach for Optimization of Real Life Transportation Problem in
Neutrosophic Environment,
by A. Thamaraiselvi and R. Santhi. Published in Mathematical Problems in
Engineering, Volume 2016, Article ID 5950747, 9 p.
A new expert evaluation system for learning management systems evaluation based
on neutrosophic sets,
by Nouran M. Radwan, M. Badir Senousy, Alaa El Din M. Riad. Published in
Wiley Expert Systems, 2016, 11 p.
A New Similarity Measure on npnSoft Set Theory and Its Application,
by Serif Ozlu, Irfan Deli. Reported at the International Conference on Natural
Science and Engineering (ICNASE’16), March 1920, 2016, 6 p.
An Extended Grey Relational Analysis based Interval Neutrosophic Multi Attribute
Decision Making for Weaver Selection,
by Partha Pratim Dey, Surapati Pramanik, Bibhas Chandra Giri. Published in
Journal of New Theory, no. 9, 2015, pp. 8293.
An extended multiple criteria decision making method based on neutrosophic
hesitant fuzzy information,
by Peide Liu, Lili Zhang. 15 p.
An improved MULTIMOORA approach for multicriteria decisionmaking based on
interdependent inputs of simpliﬁed neutrosophic linguistic information,
by Zhangpeng Tian, Jing Wang, Jianqiang Wang, Hongyu Zhang. Published in
The Natural Computing Applications Forum, 2016, 13 p.
An Improved Weighted Correlation Coefficient Based on Integrated Weight for
Interval Neutrosophic Sets and its Application in Multicriteria Decisionmaking
Problems,
by Hongyu Zhang, Pu Ji, Jianqiang Wang and Xiaohong Chen. Published in
International Journal of Computational Intelligence Systems, vol. 8, no. 6,
2015, pp. 10271043.
An Integrated MCGDM Approach based Lean Faclitator Selection under Neutrosophic
Enviornment,
by P. Rajeswara Reddy, I Naga Raju, V Diwakar Reddy, G Krishnaiah. Published in
International Journal of Scientific & Engineering Research, Volume 7,
Issue 3, March2016, pp. 566572.
An interval neutrosophic linguistic multicriteria group decisionmaking method
and its application in selecting medical treatment options,
by Yinxiang Ma, Jianqiang Wang, Jing Wang, Xiaohui Wu. Published in Neural
Comput. & Applic., 2016, 21 p.
A novel breast tumor classification algorithm using neutrosophic score features,
by Khalid M. Amin, A. I. Shaim, Yanhui Guo. Published in Measurement, no. 81,
2016, pp. 210220.
A novel decision support model for satisfactory restaurants utilizing social
information: A case study of TripAdvisor.com,
by Hongyu Zhang, Pu Ji, Jianqiang Wang, Xianhong Chen. Published in
Tourism Management, no. 59, 2017, pp. 281297.
A novel object tracking algorithm by fusing color and depth information based on
single valued neutrosophic crossentropy,
by Keli Hu, Jun Ye, En Fan, Shigen Shen, Longjun Huang and Jiatian Pi. 13 p.
An Overview of Technological Revolution in Satellite Image Analysis,
by Jenice Aroma R. and Kumudha Raimond. Published in Journal of Engineering
Science and Technology Review, 9 (4), 2016, 5 p.
Application of Fuzzy Neutrosophic Relation in Decision Making,
by J. Martina Jency and I. Arockiarani. Published in Global Journal of
Advanced Research, vol. 3, Issue 6, pp. 453456.
Application of Neutrosophic Set to Multicriteria Decision Making by COPRAS,
by Romualdas Bausys, Edmundas Kazimieras Zavadskas, Arturas Kaklauskas. 15 p.
Approaches for Managing Uncertainty in Learning Management Systems,
by Nouran M. Radwan, M. Badr Senousy and Alaa El Din M. Riad. Published in
Egyptian Computer Science Journal, vol. 40, no. 2, May 2016, 10 p.
A projectionbased TODIM method under multivalued neutrosophic environments and
its application in personnel selection,
by Pu Ji, Hongyu Zhang, Jianqiang Wang. Published in Neural Comput. &
Applic., DOI 10.1007/s005210162436z, 2016, 14 p.
A ranking method of single valued neutrosophic numbers and its applications to
multiattribute decision making problems,
by I. Deli, Y. Subas. Published in Int. J. Mach. Learn. & Cyber., 2016,
14 p.
A Study On Neutrosophic Graphs,
by M. Rajeswari and J. Parveen Banu. Published in International Journal of
Research Instinct., Vol. 2 (Issue 2), pp. 816.
Automatic Liver Tumor Segmentation On Computed Tomography For Patient Treatment
Planning And Monitoring,
by Mehrdad Moghbel, Syamsiah Mashohor , Rozi Mahmud, M. Iqbal Bin Saripan.
Published in EXCLI Journal, 2016; ISSN 16112156, pp. 406423.
Bipolar Neutrosophic Refined Sets and Their Applications in Medical Diagnosis,
by Irfan Deli and Yusuf Subas. Reported at the International Conference on
Natural Science and Engineering (ICNASE’16), March 1920, 2016, pp. 11211132.
Bipolar Neutrosophic Soft Expert Sets,
by Mehmet Sahin, Irfan Deli and Vakkas Ulucay. 10 p.
Brain Tumor Segmentation using hybrid of both Netrosopic Modified Nonlocal Fuzzy
Cmean and Modified Level Sets,
by Shaima Elnazer, Mohamed Morsy, Mohy Eldin A. AboElsoud. Published in
International Journal of Science and Research (IJSR), ISSN (Online), Volume
5, Issue 3, March 2016, pp. 23197064.
Certain Networks Models Using Singlevalued Neutrosophic Directed Hypergraphs,
by Muhammad Akram and Anam Luqman, 20 p.
Correlated aggregation operators for simpliﬁed neutrosophic set and their
application in multiattribute group decision making,
by Chunfang Liu, and YueSheng Luo. Published in Journal of Intelligent &
Fuzzy Systems, 30, 2016, DOI:10.3233/IFS151886, pp. 1755–1761.
Correlation Coefficient of Simplified Neutrosophic Sets for Bearing Fault
Diagnosis,
by Lilian Shi, 17 p.
Correlation coefﬁcient of singlevalued neutrosophic hesitant fuzzy sets and its
applications in decision making,
by Rıdvan Sahin, Peide Liu. Published in Neural Comput. & Applic., 2015,
9 p.
Correlation Coefficients of Interval Hesitant Fuzzy Sets
and Its Application in a Multiple Attribute Decision Making Method,
Making Method,
by Jun Ye. Published in Informatica, 2016, Vol. 27, no. 1, pp. 179–202.
Correlation Coefficients of Neutrosophic Sets by Centroid Method,
by I. M. Hanafy, A. A. Salama, K. M. Mahfouz. Published in International
Journal of Probability and Statistics, 2013, 2 (1), pp. 912.
Correlation measure for neutrosophic Refined sets And Its application In Medical
Diagnosis,
by Said Broumi and Irfan Deli. Published in Palestine Journal of Mathematics,
Vol. 3 (1), 2014, pp. 11–19.
Cosine Similarity Measure Of Rough Neutrosophic Sets And Its Application In
Medical Diagnosis,
by Surapati Pramanik and Kalyan Mondal. Published in Global Journal of
Advanced Research, Vol. 2, Issue 1, pp. 212220.
Cosine Similarity Measures Of Neutrosophic Soft Set,
by I.R.Sumathi and I.Arockiarani. Published in Annals of Fuzzy Mathematics
and Informatics, 10 p.
CrossEntropy and Prioritized Aggregation Operator with Simpliﬁed Neutrosophic
Sets and Their Application in MultiCriteria DecisionMaking Problems,
by Xiaohui Wu, Jianqiang Wang, Juanjuan Peng, Xiaohong Chen. Published in
International Journal of Fuzzy Systems, March, 2016, 15 p.
Design of the Neutrosophic Membership Valued FuzzyPID Controller and Rotation
Angle Control of a Permanent Magnet Direct Current Motor,
by Mehmet Serhat Can, Omerul Faruk Ozguven. Published in Journal of New
Results in Science, 12(2016), pp. 126138.
DoubleValued Neutrosophic Sets, their Minimum Spanning Trees, and Clustering
Algorithm,
by Ilanthenral Kandasamy. Published in Journal of Intelligent Systems,
2016, 20 p.
Enhanced Fuzzy CMeans Based Segmentation Technique for Brain Magnetic Resonance
Images,
by A.S. Shankar, A. Asokan and D. Sivakumar. Published in MiddleEast Journal
of Scientific Research, 24 (9), 2016, ISSN 19909233, pp. 28502858.
Exponential operations and aggregation operators of interval neutrosophic sets
and their decision making methods,
by Jun Ye. Published in Springer Plus, 2016, 18 p.
Fault and Event Tree Analyses for Process Systems Risk Analysis: Uncertainty
Handling Formulations,
by Refaul Ferdous, Faisal Khan, Rehan Sadiq, Paul Amyotte, and Brian Veitch.
Published in Risk Analysis, vol. 31, no. 1, 2011, pp. 86107.
Fault diagnoses of hydraulic turbine using the dimension root similarity measure
of singlevalued neutrosophic sets,
Jun Ye.14 p.
Foundation for Neutrosophic Mathematical Morphology,
by E. M. ElNakeeb, Hewayda ElGhawalby, A. A.Salama and S. A. ElHafeez. 23 p.
Fuzzy Neutrosophic Equivalence Relations,
by J. Martina Jency and I. Arockiarani. Published in International Journal of
Innovative Research & Development, Vol. 5, Issue 1, January, 2016, pp.
219227.
Fuzzy Neutrosophic Product Space,
by A. A. Salama, I. R. Sumathi, and I. Arockiarani. Published in Fuzzy
Neutrosophic Product Space, 15 p.
Fuzzy Neutrosophic Relations,
by I. Arockiarani, J. Martina Jency. Published in International Journal of
Research, Vol.4 (Iss.2), February, 2016, pp. 1730.
Fuzzy Neutrosophic Soft Set Measures,
I. R. Sumath and I. Arockiarani. Published in International Journal of
Advanced Research, 2016, Volume 4, Issue 1, pp. 934 940.
Fuzzy Neutrosophic Subgroups,
by J. Martina Jency, I. Arockiarani. Published in Bulletin of Mathematics and
Statistics Research, Vol. 4, Issue1, 2016 (JanuaryMarch), pp. 8394.
Fuzzy TOPSIS: A General View,
by Sorin Nadaban, Simona Dzitac, Ioan Dzitac. Published in Procedia Computer
Science, 91, 2016, pp. 823 – 831.
Fuzzy Uncertainty Assessment in RBF Neural Networks using Neutrosophic Sets for
Multiclass Classiﬁcation,
by Adrian RubioSolis and George Panoutsos. Reported at the IEEE International
Conference on Fuzzy Systems (FUZZIEEE), July 611, 2014, Beijing, China, 8 p.
Generalized fuzzy cognitive maps: a new extension of fuzzy cognitive maps,
by Bingyi Kang, Hongming Mo, Rehan Sadiq, Yong Deng. Published in Int. J.
Syst. Assur. Eng. Manag., 2016, 11 p.
Generalized Neutrosophic Soft Set,
by Said Broumi. Published in International Journal of Computer Science,
Engineering and Information Technology (IJCSEIT), vol. 3, no. 2, April 2013,
pp. 1729.
Gra Based Multi Criteria Decision Making In Generalized Neutrosophic Soft Set
Environment,
by Surapati Pramanik, Shyamal Dalapati. Published in Global Journal of
Engineering Science and Research Management, May, 2016, pp. 153167.
Hermeneutics can make beauty and ugly as neutral (as neutrosophic),
by MihaelaGabriela Păun, Mirela Teodorescu. Published in Social Sciences and
Education Research Review, 2 5261 (2014); ISSN 23929683, pp. 5261.
Induced generalized interval neutrosophic Shapley hybrid operators and their
application in multiattribute decision making,
by Peide Liu, Guolin Tang, Weilong Liu. 23 p.
Interval neutrosophic ﬁnite switchboard state machine,
by Tahir Mahmood, Qaisar Khan. Published in African Mathematical Journal,
March 2016, 16 p.
Introduction to neutrosophic Nnearrings,
by S. A. Akinleye, E .O. Adeleke, A. A. A. Agboola. Published in Annals of
Fuzzy Mathematics and Informatics, March, 2016, 14 p.
Jaccard Vector Similarity Measure of Bipolar Neutrosophic Set Based on
MultiCriteria Decision Making,
by Mehmet Sahin, Irfan Deli, Vakkas Ulucay. Reported at the International
Conference on Natural Science and Engineering (ICNASE’16), March 1920, 2016,
Kilis, pp. 19721979.
Lean Supplier Selection based on Hybrid MCGDM Approach using Interval Valued
Neutrosophic Sets: A Case Study,
by Rajeswara Reddy P., Naga Raju I., Diwakar Reddy V., Krishnaiah G..Published
in International Journal of Innovative Research & Development, March,
2016 Vol. 5, Issue 4, pp. 291296.
Linear weighted averaging method on SVNsets and its sensitivity analysis based
on multiattribute decision making problems,
by Irfan Deli. 15 p.
Merging of Semilattices and their Special Properties,
by M. Reehana Parveen and P. Sekar. Published in Ultra Scientist, Vol. 27(3)A,
2015, pp. 229244.
MRI Brain Tumor Segmentation Methods  A Review,
by Gursangeet Kaur and Jyoti Rani. Published in International Journal of
Current Engineering and Technology, vol.6, no. 3, June 2016, pp. 760764.
MultiCriteria Decision Making Method Based On Similarity Measures Under Single
Valued Neutrosophic Refined And Interval Neutrosophic Refined Environments,
by Faruk Karaaslan. Preprint, December 2015, 15 p.
MultiCriteria Group Decision Making Model in Neutrosophic Refined Set and Its
Application,
by Surapati Pramanik, Durga Banerjee, B. C. Giri. Published in Global Journal
of Engineering Science and Research Management, 2016, pp. 1218.
Multicriteria neutrosophic decision making method based on score and accuracy
functions under neutrosophic environment,
by Ridvan Sahin. 9 p.
Multicriteria Decision Making Approach By Vikor Under Interval Neutrosophic Set
Environment,
by Romualdas Bausys, EdmundasKazimieras Zavadskas. Published in Economic
Computation and Economic Cybernetics Studies and Research, Issue 4/2015, pp.
3348.
MultiObjective Neutrosophic Optimization Technique and its Application to
Structural Design,
by Mridula Sarkar, Samir Dey, Tapan Kumar Roy. Published in International
Journal of Computer Applications,Volume 148, No.12, August 2016, pp. 3137.
Multiple Attribute DecisionMaking Method under Hesitant Single Valued
Neutrosophic Uncertain Linguistic Environment,
by Jun Ye, Tahir Mahmood, Qaisar Khan. Preprint, 20 p.
Multiple attribute group decision making method based on some normal
neutrosophic number Heronian Mean operator,
by Peide Liu, Fei Teng. Preprint, 27 p.
Brain Tumor Segmentation using hybrid of both Netrosopic Modified Nonlocal Fuzzy
Cmean and Modified Level sets,
by Shaima Elnazer, Mohamed Morsy, Mohy Eldin A.AboElsoud. Published in
International Journal of Science and Research (IJSR), ISSN (Online):
23197064, vol. 5, Issue 2, February 2016, 7. p.
Neutrosophic complex N continuity,
by R. Narmada Devi. Published in Annals of Fuzzy Mathematics and Informatics,
2016, 14 p.
Neutrosophic Cubic Ideals,
by Majid Khan and Muhammad Gulistan.Preprint, December 2016, 21 p.
Neutrosophic Functions of the Joint Roughness Coefficient and the Shear
Strength: A Case Study from the Pyroclastic Rock Mass in Shaoxing City,
China, by JunYe, Rui Yong,QiFeng Liang, Man Huang and ShiGuiDu. Published in
Mathematical Problems in Engineering, Volume 2016, Article ID 4825709, 9
p.
Neutrosophic Hypergraphs,
by Muhammad Akram, Sundas Shahzadi and A. Borumand Saeid. Preprint, June 2016,
16 p.
Neutrosophic Hyperideals Of ΓSemihyperrings,
by Debabrata Mandal. Published in Bulletin of The International Mathematical
Virtual Institute, ISSN (p) 23034874, ISSN (o) 23034955 Vol. 7(2017), pp.
153164.
Neutrosophic Image Retrieval with Hesitancy Degree,
by A. A. Salama, Mohamed Eisa, Hewayda ElGhawalby, A. E. Fawzy. 5 p.
Neutrosophic information in the framework of multivalued representation,
by Vasile Patrascu. Reported at the 21th Conference on Applied and Industrial
Mathematics, CAIM 2013, 19th22nd September 2013, Bucharest, Romania DOI:
10.13140/2.1.4717.2169, 10 p.
Neutrosophic Linear Goal Programing,
by Surapati Pramanik. Published in Global Journal of Engineering Science and
Research Management, July 2015, pp. 11 p.
Neutrosophic Logic Based Inconsistent Relational Database For Normalizing Data
And Accurate Decision,
by Soumitra De. Reported at the International Conference on Emerging Trends in
Technology, Science and Upcoming Research in Computer Science, DAVIM, Faridabad,
25th April 2015, pp. 532538.
Neutrosophic Modeling and Control,
by Swati Aggarwal, Ranjit Biswas and A.Q.Ansari. Reported at the 2010
International Conf. on Computer & Communication Technology (ICCCT) pp. 718723.
Neutrosophic MultiObjective Linear Programming,
by Surapati Pramanik. Published in Global Journal of Engineering Science and
Research Management, vol. 3(8), August 2016, pp. 3646.
Neutrosophic Refined Similarity Measure Based on Tangent Function and Its
Application to Multi Attribute Decesion Making,
by Kalyan Mondal and Surapati Pramanik. Published in Journal of New Theory,
November, 2015, pp. 4150.
Neutrosophic Soft Graphs,
by Muhammad Akram and Sundas Shahzadi. Preprint January 17, 2016, 23 p.
Neutrosophic Soft Matrix And It’s Application in Solving Group Decision Making
Problems from Medical Science,
by Tanushree Mitra Basu and Shyamal Kumar Mondal. Published in Computer
Communication & Collaboration, Vol. 3, Issue 1, 2015, 31 p.
Neutrosophic Soft Sets and Neutrosophic Soft Matrices Based on Decision Making,
by Irfan Deli, Said Broumi. Preprint, 2014, 28 p.
Neutrosophic Soft Sets with Applications in Decision Making,
by Faruk Karaaslan. Preprint, 2014, 23 p.
Neutrosophic Technique and its Application,
A. A. Salama. 13 p.
Neutrosophic vague soft expert set theory,
by Ashraf AlQuran and Nasruddin Hassan. Published in Journal of Intelligent
& Fuzzy Systems, 30, 2016, pp. 3691–3702.
Neutrosophic complex Ncontinuity,
by R. Narmada Devi. Submitted to Annals of Fuzzy Mathematics and Informatics,
2016, 14 p.
New Distance Measure of SingleValued Neutrosophic Sets and Its Application,
by HanLiang Huang. Submitted to International Journal of Intelligent Systems,
1–12 (2016), 12 p.
Novel multiple criteria decision making methods based on bipolar neutrosophic
sets and bipolar neutrosophic graphs,
by Muhammad Akram and Musavarah Sarwar, 2016, 20 p.
nValued Reﬁned Neutrosophic Soft Set Theory,
by Shawkat Alkhazaleh. 6 p.
nValued Reﬁned Neutrosophic Soft Sets and its Applications in Decision Making
Problems and Medical Diagnosis,
by Shawkat Alkhazaleh, 12 p.
On Neutrosophic Normal Soft Groups,
by Tuhin Bera, Nirmal Kumar Mahapatra. Published in Int. J. Appl. Comput.
Math., 2016, 20 p.
On neutrosophic soft function,
by Tuhin Bera, Nirmal Kumar Mahapatra. Published in Annals of Fuzzy
Mathematics and Informatics, 2015, 19 p.
On Neutrosophic Submodules of a Module,
by Vildan Cetkin, Banu Pazar Varol and Halis Aygun, 9 p.
Penta and Hexa Valued Representation of Neutrosophic Information,
by Vasile Patrascu. Technical Report, 2016, 13 p.
PID Tuning with Neutrosophic Similarity Measure,
by Mehmet Serhat Can, Omerul Faruk Ozguven. Published in International
Journal of Fuzzy Systems, 2016, 15 p.
Possibility neutrosophic soft sets and PNGdecision making method,
by Faruk Karaaslan. Published in Applied Soft Computing, 2016, 12 p.
Possibility neutrosophic soft sets with applications in decision making and
similarity measure,
by Faruk Karaaslan, Preprint, 2014, 25 p.
QSingle Valued Neutrosophic Soft Sets,
by Tahir Mahmood, Qaisar Khan, Mohsin Ali Khan. Published in Journal of New
Theory, 2016, No. 13, pp. 1025.
Quantitative Analysis of Particles Segregation,
by Ting Peng, Aiping Qu, Xiaoling Wang. Preprint, 2015, 7 p.
Representation of a Sentence using a Polar Fuzzy Neutrosophic Semantic Net,
by Sachin Lakra, T.V.Prasad, G. Ramakrishna. Published in International
Journal of Advanced Computer Science and Applications, Special Issue on
Natural Language Processing, 2014, 8 p.
Rough Bipolar Neutrosophic Set,
by Surapati Pramanik, Kalyan Mondal. Published in Global Journal of
Engineering Science and Research Management, June 3(6), 2016, pp. 7181.
Rough Neutrosophic Relation on Two Universal Sets,
by I. Arockiarani and C. Antony Crispin Sweety. Published in Bulletin of
Mathematics and Statistics Research, Vol.4, Issue 1, 2016 (JanuaryMarch),
pp. 203216.
Segmentation of Breast Masses in Local Dense Background using Adaptive Clip
LimitCLAHE,
by Shelda Sajeev, Mariusz Baiger and Gobert Lee. 9 p.
Selection of leadzinc flotation circuit design by applying WASPAS method with
singlevalued neutrosophic set,
by Edmundas Kazimieras Zavadskas, Romualdas Baušys, Dragisa Stanujkic and Marija
MagdalinovicKalinovic. Published in Acta Montanistica Slovaca, Volume 21
(2016), no. 2, pp. 8592.
Similarity Measure Between Possibility Neutrosophic Soft Sets And Its
Applications,
by Faruk Karaaslan, 10 p.
Similarity measures of bipolar neutrosophic sets and their application to
multiple criteria decision making,
by Vakkas Ulucay, Irfan Deli, Mehmet Sahin. Published in Neural Comput. &
Applic., 2016, 10 p.
Simpliﬁed Neutrosophic Linguistic Multicriteria Group DecisionMaking Approach
to Green Product Development,
by Zhangpeng Tian, Jing Wang, Jianqiang Wang, Hongyu Zhang. Published in
Group Decis. Negot., 2016, 31 p.
SingleValued Neutrosophic Graph Structures,
by Muhammad Akram and Muzzamal Sitara. 9 p.
Some Algebraic Properties of Picture Fuzzy tNorms and Picture Fuzzy t Conorms
on Standard Neutrosophic Sets,
by Bui Cong Cuong, Roan Thi Ngan and Le Chi Ngoc. 20 p.
Some Weighted Aggregation Operators of Trapezoidal Neutrosophic Numbers and
Their Multiple Attribute Decision Making Method,
by Jun Ye. 17 p.
Structural Properties Of Neutrosophic AbelGrassmanns Groupoids,
by Madad Khan, Misbah. 25 p.
Supervised pattern recognition using similarity measure between two interval
valued neutrosophic soft sets,
by Anjan Mukherjee, Sadhan Sarkar. Published in Annals of Fuzzy Mathematics
and Informatics, 8 p.
Sustainable Assessment of Alternative Sites for the Construction of a Waste
Incineration Plant by Applying WASPAS Method with SingleValued Neutrosophic Set,
by Edmundas Kazimieras Zavadskas, Romualdas Baušys and Marius Lazauskas.
Published in Sustainability 2015, 7; pp. 1592315936.
Texture Segmentation Based on Gabor Filters and Neutrosophic Graph Cut,
by Yaman Akbulut, Abdulkadir Sengur, Yanhui Guo, 4 p.
The generalized Dice measures for multiple attribute decision making under
simpliﬁed neutrosophic environments,
by Jun Ye. Published in Journal of Intelligent & Fuzzy Systems, 31, 2016,
pp. 663–671.
The Neutrosophic Statistical Distribution: More Problems, More Solutions,
by S.K.Patro, 17 p.
The weighted distance measure based method to neutrosophic multiattribute group
decision making,
by Chunfang Liu, YueSheng Luo. 12 p.
Threeway fuzzy concept lattice representation using neutrosophic set,
by Prem Kumar Singh. Published in Int. J. Mach. Learn. & Cyber., 11 p.
Topsis Approach To Chance Constrained Multi  Objective Multi Level Quadratic
Programming Problem,
by Surapati Pramanik, Durga Banerjee, B. C. Giri. Published in Global Journal
of Engineering Science and Research Management, pp. 1936.
Toward trustworthy cloud service selection: A timeaware approach using interval
neutrosophic set,
by Hua Ma, Zhigang Hu, Keqin Li, Hongyu Zhang. Published in Journal Parallel
Distrib. Comput., pp. 7594.
Toward Wisdom: A Hierarchical Wisdom Ontology based on Chinese Classics,
by Feng Liu. Published in Journal Of Information & Knowledge Management,
vol. 14, no. 4, 2015, 14 p.
Trapezoidal neutrosophic set and its application to multiple attribute
decisionmaking,
by Jun Ye. Published in Neural Comput. & Applic., 2015, pp. 1157–1166.
Ultra Neutrosophic Crisp Sets and Relations,
by Hewayda ElGhawalby and A. A. Salama. 10 p.
Vector Similarity Measures For Simplied Neutrosophic hesitant fuzzy Set And
Their Applications,
by Jun Ye, Tahir Mahmood, Qaisar Khan. 2016, 24 p.
Notrosofik Benzerlik Olcusu ile PID Katsayilarinin Ayarlanmasi Metodunda Ucgen,
Gauss ve Can Egrisi Uyelik Fonksiyonlarinin Etkilerinin Incelenmesi,
by Mehmet Serhat Can and Ömer Faruk Özgüven. Reported at the EEB 2016
ElektrikElektronik ve Bilgisayar Sempozyumu, Tokat, Turkey, 1113 May 2016, 7
p.
[in Turkish]
Notrosofik Uyelik Fonksiyonlu Bulanik Mantik Denetleyici ile Sabit Miknatisli
Dogru Akim Motor Milinin Donus Acisinin Kontrolu,
by Mehmet Serhat Can, Omerul Faruk Ozguven. Reported at the EEB 2016
ElektrikElektronik ve Bilgisayar Sempozyumu, Tokat, Turkey, 1113 May 2016, 6
p.
[in Turkish]
A New Similarity Measure Based on Falsity Value between Single Valued
Neutrosophic Sets Based on The Centroid Points of Transformed Single Valued
Neutrosophic Values with Applications to Pattern Recognition,
Mehmet Sahin, Necati Olgun, Vakkas Uluçay, Abdullah Kargin and Florentin
Smarandache, 28 p.
A New Type of Group Action Through the Applications of Fuzzy Sets and
Neutrosophic Sets,
by Mumtaz Ali and Florentin Smarandache. 7 p.
An Extended TOPSIS Method for Multiple Attribute Decision Making based on
Interval Neutrosophic Uncertain Linguistic Variables,
by Said Broumi, Jun Ye, Florentin Smarandache. 14 p.
An Introduction to Bipolar Single Valued Neutrosophic Graph Theory,
by Said Broumi, Florentin Smarandache, Mohamed Talea, Assia Bakali. Published in
Applied Mechanics and Materials, ISSN: 16627482, Vol. 841, 2016, pp.
184191.
Application of Dijkstra Algorithm for Solving Interval Valued Neutrosophic
Shortest Path Problem,
by Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache. 6 p.
Applications of Complex Neutrosophic Sets in Medical Diagnosis Based on
Similarity Measures,
by Kalyan Mondal, Mumtaz Ali, Surapati Pramanik, Florentin Smarandache, 16 p.
Applying Dijkstra Algorithm for Solving Neutrosophic Shortest Path Problem,
by Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Luige
Vladareanu. Reported at the 2016 International Conference on Advanced
Mechatronic Systems, Melbourne, Australia, November 30  December 3, 2016, 5 p.
Bipolar Neutrosophic Graphs with Applications,
by Muhammad Akram, Musavarah Sarwar, Florentin Smarandache. 23 p.
Classical Logic and Neutrosophic Logic. Answers to K. Georgiev,
by Florentin Smarandache, 9 p.
Clustering Algorithm of Triple Reﬁned Indeterminate Neutrosophic Set for
Personality Grouping,
by Ilanthenral Kandasamy and Florentin Smarandache. Accepted at the Computing
Conference 2017, 1820 July 2017, London, UK 10 p.
Clustering of Personality using Indeterminacy Based Personality Test,
by Ilanthenral Kandasamy and Florentin Smarandache. 16 p.
Complex Neutrosophic Set,
by Mumtaz Ali, Florentin Smarandache. Published in Neural Comput & Applic.,
2016, 18 p.
Complex Neutrosophic Similarity Measures in Medical Diagnosis,
by Kalyan Mondal, Mumtaz Ali, Surapati Pramanik, Florentin Smarandache. 27 p.
Computation of Shortest Path Problem in a Network with SVTrapezoidal
Neutrosophic Numbers,
by Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Luige
Vladareanu. Reported at the 2016 International Conference on Advanced
Mechatronic Systems, Melbourne, Australia, November 30  December 3, pp.
417422.
Correlation Coefficient of Interval Neutrosophic Set,
by Said Broumi, Florentin Smarandache. Published in Applied Mechanics and
Materials, ISSN: 16627482, 2013, Vol. 436, pp. 511517.
CSP and “omics” Technology Apllied on Versatile and Intelligent Portable
Platform for Modeling Complex Biomedical Data,
by Luige Vladareanu, Mihaiela Iliescu, Hongbo Wang, Feng Yongfei, Victor
Vladareanu, Hongnian Yu, Florentin Smarandache. Reported at the 2016
International Conference on Advanced Mechatronic Systems, Melbourne, Australia,
November 30  December 3, 2016, pp. 423428.
DecisionMaking Method based on the Interval Valued Neutrosophic Graph,
by Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache. Reported at
the FTC 2016  Future Technologies Conference 2016, 67 December 2016, San
Francisco, United States, 7 p.
Degrees of Membership > 1 and < 0 of the Elements with Respect to a Neutrosophic
OffSet,
by Florentin Smarandache, 11 p.
Determining the Duration of R&D Processes through Monte Carlo Simulation,
by Monika Moga, Gavrila Calefariu, Florentin Smarandache, Flavius Aurelian
Sarbu and Laura
Bogdan. Published in Applied Mechanics and Materials, ISSN: 16627482,
Vol. 657, 2014, pp. 886890.
Interval Valued Bipolar Fuzzy Weighted Neutrosophic Sets and Their Application,
by Irfan Deli, Yusuf Subas, Florentin Smarandache, Mumtaz Ali. Reported at the
2016 IEEE International Conference on Fuzzy Systems (FUZZ). Published in IEEE,
2016, pp. 24602467.
Interval Valued Bipolar Neutrosophic Sets and Their Application in Pattern
Recognition,
by Irfan Deli, Yusuf Subas, Florentin Smarandache, Mumtaz Ali, 8 p.
IntervalValued Neutrosophic Oversets, Neutrosophic Undersets, and Neutrosophic
Offsets,
by Florentin Smarandache. Published in International Journal of Science and
Engineering Investigations, ISSN: 22518843, Vol. 5, Issue 54, July 2016, 4
p.
IntervalValued Neutrosophic Soft Rough Sets,
by Said Broumi and Florentin Smarandache. Published in International Journal
of Computational Mathematics, Hindawi Publishing Corporation, Article ID
232919. 13 p.
Intuitionistic Neutrosphic Soft Set over Rings,
by Said Broumi, Florentin Smarandache, Pabitra Kumar Maji. In Mathematics and
Statistics, 2(3), 2014, pp. 120126.
Lower and Upper Soft Interval Valued Neutrosophic Rough Approximations of an
IVNSSRelation,
by Said Broumi, Florentin Smarandache. 8 p.
Maintenance Operating System Uncertainties Approached through Neutrosophic
Theory,
by Mirela Teodorescu, Florentin Smarandache, Daniela Gifu. 8 p.
Mappings on Neutrosophic Soft Expert Sets,
by Said Broum, Mumtaz Ali, Florentin Smarandache. 9 p.
Mappings on Neutrosophic Soft Expert Sets,
by Said Broumi, Ali Mumtaz, Florentin Smarandache. In Journal of New Theory,
Number 5, 2015, pp. 2642.
MultiAttribute Decision Making Based on Interval Neutrosophic Trapezoid
Linguistic Aggregation Operators,
by Broumi Said and Florentin Smarandache. Published in IGI Global, 2016,
pp. 344365.
Multicriteria Decision Making Using Double Refined Indeterminacy Neutrosophic
Cross Entropy and Indeterminacy Based Cross Entropy,
by Ilanthenral Kandasamy,Florentin Smarandache. Published in Applied
Mechanics and Materials, ISSN: 16627482, Vol. 859, 2016, pp. 129143.
Neutrosophic Cubic (α, β)Ideals in Semigroups,
by Muhammad Gulistan, Majid Khan, Young Bae Jun, Florentin Smarandache and
Naveed Yaqoob. 17 p.
Neutrosophic Cubic Sets,
by Young Bae Jun, Florentin Smarandache, Chang Su Kim. Published in New
Mathematics and Natural Computation, 2015, 17 p.
Neutrosophic elements in discourse,
by Florentin Smarandache, Daniela Gifu, Mirela Teodorescu. Published in
Social Sciences and Education Research Review, ISSN 23929683, (2) 1, 2015,
pp. 2532.
Neutrosophic ﬁlters in BEalgebras,
by Akbar Rezaei, Arsham Borumand Saeid, Florentin Smarandache. Published in
Ratio Mathematica, ISSN:15927415, no. 29, 2015, pp 6579.
Neutrosophic Indetermination and Fiction in Negative Journalistic Communication,
by Florentin Smarandache, Stefan Vladuțescu, pp. 914.
Neutrosophic Index Numbers. Neutrosophic logic applied in the statistical
indicators theory,
by Florentin Smarandache, Gheorghe Savoiu. 36 p.
Neutrosophic Modal Logic,
by Florentin Smarandache. Published in New Mathematics and Natural
Computation, 11 p.
Neutrosophic Modeling of Investment Architectures,
by Emilia Calefariu, Mircea Boscoianu, Florentin Smarandache and Traian
Alexandru
Buda. Published in Applied Mechanics and Materials, ISSN: 16627482, Vol.
657, 2014, pp. 10111015.
Neutrosophic Quantum Computer,
by Florentin Smarandache. Published in Intern. J. Fuzzy Mathematical Archive,
Vol. 10, No. 2, 2016, pp. 139145.
Neutrosophic Set and Logic,
by Mumtaz Ali, Florentin Smarandache, Luige Vladareanu. 28 p.
Neutrosophic Set Approch For Characterizations of Left Almost Semigroups,
by Madad Khan, Florentin Smarandache and Sania Afzal. 24 p.
MultiCriteria DecisionMaking using combined SimplifiedTOPSIS method and
Neutrosophics,
by Azeddine Elhassouny, Florentin Smarandache. Published in Applied Mechanics
and Materials, ISSN: 16627482, Vol. 859, DOI:10.4028/www.scientific.net/AMM.859.129,
2016, pp 129143.
Neutrosophic social structures specificities,
by Florentin Smarandache. Published in Social Sciences and Education Research
Review, ISSN 23929683, (2) 1, 2015, pp. 310.
Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties,
by Mumtaz Ali and Florentin Smarandache, 10 p.
Neutrosophic Vague Soft Expert Set Theory,
by Ashraf AlQuran, Nasruddin Hassan and Florentin Smarandache, 15 p.
New Class of Soft Linear Algebraic Codes and Their Properties Using Soft Sets,
by Mumtaz Ali, Florentin Smarandache and W. B. Vasantha Kandasamy, 13 p.
On Bipolar Single Valued Neutrosophic Graphs,
by Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache. Published in
Journal of New Theory, ISSN: 21491402, Number 11, 2016, pp. 84102.
On Neutrosophic Refined Sets and Their Applications in Medical Diagnosis,
by Irfan Deli, Said Broumi, Florentin Smarandache. Published in Journal of
New Theory, ISSN: 21491402, Number 6, 2015, pp. 8898.
On Neutrosophic Quadruple Algebraic Structures,
by S. A. Akinleye, F. Smarandache and A. A. A. Agboola. 8 p.
On Soft Mixed Neutrosophic NAlgebraic Structures,
by F.Smarandache and Mumtaz Ali. Published in International J.Math. Combin.,
Vol. 4, 2014, p. 127138.
Operators on SingleValued Neutrosophic Oversets, Neutrosophic Undersets, and
Neutrosophic Offsets,
by Florentin Smarandache. Published in Journal of Mathematics and Informatics,
ISSN: 23490632, Vol. 5, 2016, pp. 6367.
Possibility Single Valued Neutrosophic Soft Expert Sets and Its Application in
Decision Making,
by Said Broumi, Florentin Smarandache. Published in Journal of New Theory,
ISSN: 21491402, No. 4, 2015, pp. 0629.
Punion and Pintersection of neutrosophic cubic sets,
by Young Bae Jun, Florentin Smarandache and Chang Su Kim. Published in An.
St. Univ. Ovidius Constanta, 2016, 17 p.
Relations on neutrosophic multi sets with properties,
by Said Broumi, Irfan Deli, Florentin Smarandache, 2015, 15 p.
Representation of Graphs using Intuitionistic Neutrosophic Soft Sets,
by Muhammad Akram, Sundas Shahzadi and Florentin Smarandache. 2016, 21 p.
Rintersections and Runions of neutrosophic cubic sets,
by Young Bae Jun, Florentin Smarandache, and Chang Su Kim. Reported at the 2016
IEEE International Conference on Fuzzy Systems (FUZZ), 3 p.
Robot System Identification using 3D Simulation Component Applied on VIPRO
Platform,
by Luige Vladareanu, Florentin Smarandache, Mumtaz Ali, Victor Vladareanu,
Mingcong Deng. Reported at the 2016 International Conference on Advanced
Mechatronic Systems, Melbourne, Australia, November 30  December 3, 2016,
406411.
Rough Standard Neutrosophic Sets: An Application on Standard Neutrosophic
Information Systems,
by Nguyen Xuan Thao, Bui Cong Cuong, Florentin Smarandache. 20 p.
Shortest Path Problem under Bipolar Neutrosphic Setting,
by Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Mumtaz Ali.
Published in Applied Mechanics and Materials, ISSN: 16627482, 2016, Vol.
859, pp. 5966.
Shortest Path Problem Under Triangular Fuzzy Neutrosophic Information,
by Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, Luige
Vladareanu. 6 p.
Shortest Path Problem Under Trapezoidal Neutrosophic Information,
by Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache. 7 p.
Single Valued Neutrosophic Graphs,
by Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache. Published in
Journal of New Theory, ISSN: 21491402, Number 10, 2016, pp. 86101.
Single Valued Neutrosophic Graphs: Degree, Order and Size,
by Said Broumi, Mohamed Talea, Florentin Smarandache. 8 p.
Single Valued Neutrosophic Information Systems Based on Rough Set Theory,
by Said Broumi, Florentin Smarandache. 10 p.
Single Valued Neutrosophic Soft Expert Sets and Their Application in Decision
Making,
by Said Broumi, Florentin Smarandache. Published in Journal of New Theory,
ISSN: 21491402, Number 3, 2015, pp. 6788.
Single Valued Neutrosophic Trapezoid Linguistic Aggregation Operators Based
MultiAttribute Decision Making,
by Said Broumi and Florentin Smarandache. Published in Bulletin of Pure and
Applied Sciences, Volume 33 E (Math & Stat.), Issue (No. 2), 2014, pp.
135155.
Soft Neutrosophic Left Almost Semigroup,
by Florentin Smarandache, Mumtaz Ali, Munazza Naz and Muhammad Shabir. 10 p.
Soft neutrosophic semigroup and their generalization,
by Mumtaz Ali, Muhammad Shabir, Munazza Naz and Florentin Smarandache. Published
in Scientia Magna, Vol. 10, 2014, No. 1, pp. 93111.
The Theory of Neutrosophic Cubic Sets and Their Applications in Pattern
Recognition,
by Mumtaz Ali, Irfan Deli and Florentin Smarandache. 12 p.
A New Type of Group Action Through the Applications of Fuzzy Sets and
Neutrosophic Sets,
by Mumtaz Ali, Florentin Smarandache. Published in International J.Math.
Combin., Vol. 4, 2015, pp. 3340.
(T, I, F)Neutrosophic Structures,
by Florentin Smarandache. Reported at the Annual Symposium of the Institute of
Solid Mechanics and Session of the Commission of Acoustics, SISOM 2015 Bucharest
2122 May. Published in Acta Electrotechnica, ISSN 23445637, Volume 57,
Number 12, 2016, Special Issue, pp. 2128.
Triple Reﬁned Indeterminate Neutrosophic Sets for Personality Classiﬁcation,
by Ilanthenral Kandasamy, Florentin Smarandache. 8 p.

Applications of Neutrosophic Logic to Robotics,
by Florentin Smarandache, Luige Vlădăreanu, 6 p. 

Connections between Extension Logic and Refined
Neutrosophic Logic, by Florentin Smarandache, 9
p. 

Correlation Coefficient of Interval Neutrosophic Set,
by Said Broumi, Florentin Smarandache, Applied Mechanics and Materials,
Vol. 436 (2013), pp. 511517, 8 p. 

Cosine Similarity Measure of Interval Valued Neutrosophic
Sets, by Said Broumi, Florentin Smarandache, 5 p. 

Distance and Similarity Measures of Interval Neutrosophic
Soft Sets, by Said Broumi, Irfan Deli, Florentin
Smarandache, 18 p. 

Generalized Interval Neutrosophic Soft Set and its
Decision Making Problem, by Said Broumi, Rıdvan
Sahin, Florentin Smarandache, Journal of New Research in Science, No. 7
(2014), pp. 2947, 19 p. 

A Geometric Interpretation of the Neutrosophic Set, A
Generalization of the Intuitionistic Fuzzy Set,
by Florentin Smarandache, 9 p. 

GNeutrosophic Space, by
Mumtaz Ali, Florentin Smarandache, Munazza Naz, Muhammad Shabir, in U.P.B.
Sci. Bull., 11 p. 

Interval Neutrosophic Rough Set,
by Said Broumi, Florentin Smarandache, Journal of New Research in
Science, 14 p. 

Interval Valued Neutrosophic Parameterized Soft Set
Theory and its Decision Making, by Said Broumi,
Irfan Deli, Florentin Smarandache, Journal of New Research in Science,
No. 7 (2014), pp. 5871, 14 p. 

Intuitionistic Neutrosophic Soft Set,
by Said Broumi, Florentin Smarandache, Journal of Information and
Computing Science, Vol. 8, No. 2, 2013, pp. 130140, 11 p.


Intuitionistic Neutrosphic Soft Set over Rings,
by Said Broumi, Florentin Smarandache, Pabitra Kumar Maji, Mathematics
and Statistics, No. 2(3), 2014, pp. 120126, DOI: 10.13189/ms.2014.020303,
7 p. 

Lower and Upper Soft Interval Valued Neutrosophic Rough
Approximations of An IVNSSRelation, by Said
Broumi, Florentin Smarandache, at SISOM & ACOUSTICS 2014, Bucharest 2223
May, 8 p. 

More on Intuitionistic Neutrosophic Soft Sets,
by Said Broumi, Florentin Smarandache, Computer Science and Information
Technology, No. 1(4), 2013, pp. 257268, DOI: 10.13189/csit.2013.010404, 12
p. 

Neutrosofia, o nouă ramură a filosofiei,
by Florentin Smarandache, 10 p. 

Neutrosophic Crisp Open Set and Neutrosophic Crisp
Continuity via Neutrosophic Crisp Ideals, by A.
A. Salama, Said Broumi, Florentin Smarandache, I.J. Information
Engineering and Electronic Business, No. 3, 2014, pp. 18, DOI:
10.5815/ijieeb.2014.03.01, 8 p. 

Neutrosophic Crisp Sets & Neutrosophic Crisp Topological
Spaces, by A. A. Salama, Florentin Smarandache,
Valeri Kroumov, 7 p. 

Neutrosophic Ideal Theory: Neutrosophic Local Function
and Generated Neutrosophic Topology, by A. A.
Salama, Florentin Smarandache, 6 p. 

Neutrosophic Logic Approaches Applied to RABOT Real
Time Control, by Alexandru Gal, Luige Vladareanu,
Florentin Smarandache, Hongnian Yu, Mincong Deng, 6 p. 

Neutrosophic Multi relations and Their Properties,
by Said Broumi, Irfan Deli, Florentin Smarandache, 18 p. 

Neutrosophic Principle of Interconvertibility
MatterEnergyInformation, by Florentin
Smarandache, Ştefan Vlăduţescu, Journal of Information Science, 2014,
pp. 19, DOI: 10.1177/0165551510000000, 9 p. 

Neutrosophic Refined Relations and Their Properties,
by Said Broumi, Irfan Deli, Florentin Smarandache, 21 p. 

Neutrosophic Set
 A Generalization of the Intuitionistic
Fuzzy Set, by Florentin Smarandache, 15 p. 

New Distance and Similarity Measures of Interval
Neutrosophic Sets, by Said Broumi, Florentin
Smarandache, 7 p. 

New Operations on Interval Neutrosophic Sets,
by Said Broumi, Florentin Smarandache, 11 p. 

nValued Refined Neutrosophic Logic and Its Applications
to Physics, by Florentin Smarandache, 9 p. 

Relations on Interval Valued Neutrosophic Soft Sets,
by Said Broumi, Irfan Deli, Florentin Smarandache, 19 p. 

Reliability and Importance Discounting of Neutrosophic
Masses, by Florentin Smarandache, 14 p. 

Replacing the Conjunctive Rule and Disjunctive Rule with
Tnorms and Tconorms respectively, by Florentin
Smarandache, 2 p. 

Several Similarity Measures of Neutrosophic Sets,
by Said Broumi, Florentin Smarandache, 10 p. 

Soft Neutrosophic Left Almost Semigroup,
by Florentin Smarandache, Mumtaz Ali, Munazza Naz, Muhammad Shabir, at SISOM
& ACOUSTICS 2014, Bucharest 2223 May 

Soft Neutrosophic Loop, Soft Neutrosophic Biloop and Soft
Neutrosophic NLoop, by Mumtaz Ali, Florentin
Smarandache, Muhammad Shabir, 22 p. 

Soft neutrosophic semigroups and their generalization,
by Mumtaz Ali, Muhammad Shabir, Munazza Naz, Florentin Smarandache, Scientia Magna, Vol. 10 (2014), No. 1, pp. 93111, 19 p. 

Some Types of Neutrosophic Crisp Sets and Neutrosophic
Crisp Relations, by A. A. Salama, Said Broumi,
Florentin Smarandache, I.J. Information Engineering and Electronic
Business, 2014, 9 p. 

Interval Neutrosophic Sets and its Application in Multicriteria Decision
Making Problems, by Zhang Hongyu, Jian Qiang Wang, and Xiaohong Chen, The
Scientific World Journal, 2013. 

Neutrosophic information in the framework of multivalued representation, by
Vasile Patrascu, CAIM,
Romanian Society of
Applied and Industrial Mathematics et al., 1922 September 2013,
Bucharest, Romania. 

Nnorm and Nconorm in Neutrosophic Logic and Set, and the Neutrosophic
Topologies (2005), in Critical
Review, Creighton University, Vol. III, 7383, 2009. 



nary Fuzzy Logic and Neutrosophic Logic Operators, by F. Smarandache, V.
Christianto, in arXiv.org, Studies in Logic Grammar and
Rhetoric, Belarus, 17 (30), 116, 2009. 

Neutrosophic Logic and Set, and Paradoxes
chapters by F. Smarandache, V. Christianto, F. Liu, Haibin Wang, Yanqing
Zhang, Rajshekhar Sunderraman, Andre Rogatko, Andrew Schumann, in
Multispace & Multistructure. Neutrosophic
Transdisciplinarity, NESP, Finland, pp. 395548 and respectively
604631, 2010. 

The Fifth Function of University: Neutrosophic
Efunction of CommunicationCollaborationIntegration of University in the
Information Age, by F. Smarandache, S. Vlăduţescu 

The Neutrosophic Research Method in Scientific and Humanistic Fields, by
Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 732733,
2010. 

Single Valued Neutrosophic Sets, by Haibin Wang, Florentin Smarandache,
Yanqing Zhang, Rajshekhar Sunderraman, in Multispace and Multistructure,
Vol. 4, 410413, 2010. 

Neutrosophic Soft Set, by Pabitra Kumar Maji, Annals of Fuzzy Mathematics
and Informatics, Vol. 5, No. 1, 157168, January 2013. 

A Neutrosophic Soft Set Approach to A Decision Making Problem, by Pabitra
Kumar Maji, Annals of Fuzzy Mathematics and Informatics, Vol. 3, No. 2,
313319, April 2012. 

Correlation Coefficients of Neutrosophic Sets by
Centroid Method, by I. M. Hanafy, A. A. Salama, K. M. Mahfouz,
International Journal of Probability and Statistics 2013, 2(1): 912. 

Analisis de textos de Jose Martí utilizando mapas cognitivos neutrosoficos,
por Maikel LeyvaVazquez, Karina PerezTeruel, F. Smarandache, 2013,
http://vixra.org/abs/1303.0216. 

Correlation of Neutrosophic Data, by
I. M. Hanafy, A.A.Salama and K.
Mahfouz,
International Refereed Journal of
Engineering and Science (IRJES), Vol. 1, Issue 2, 3943, 2012. 

Neutrosophic Filters, by A. A. Salama & H. Alagamy,
International Journal of Computer Science Engineering and Information
Technology Research (IJCSEITR), Vol. 3, Issue 1, Mar 2013, 307312. 

Neutrosophic Masses & Indeterminate Models. Applications to Information
Fusion, by Florentin Smarandache, Proceedings of the 15^{th}
International Conference on Information Fusion, Singapore, 912 July 2012. 

A Geometric Interpretation of the Neutrosophic Set, A Generalization of the Intuitionistic Fuzzy Set, 2011 IEEE International Conference on Granular
Computing, edited by TzungPei Hong, Yasuo Kudo, Mineichi Kudo, TsauYoung
Lin, BeenChian Chien, ShyueLiang Wang, Masahiro Inuiguchi, GuiLong Liu,
IEEE Computer Society, National University of Kaohsiung, Taiwan, 602606,
810 November 2011. 

Applications of Neutrosophic Logic to Robotics / An Introduction, by
Florentin Smarandache, Luige Vladareanu, 2011 IEEE International Conference
on Granular Computing, edited by TzungPei Hong, Yasuo Kudo, Mineichi Kudo,
TsauYoung Lin, BeenChian Chien, ShyueLiang Wang, Masahiro Inuiguchi,
GuiLong Liu, IEEE Computer Society, National University of Kaohsiung,
Taiwan, 607612, 810 November 2011. 

Color Image Segmentation Based
on Neutrosophic Method, by Ling Zhang, Ming Zhang, H. D. Cheng, Optical
Engineering, 51(3), 037009, 2012. 

Intuitionistic Neutrosophic Soft Set, by Said Broumi, F. Smarandache,
Journal of Information and Computing
Science, Vol. 8, No. 2, 2013, pp.
130140. 

A Novel Neutrosophic Logic SVM (NSVM) and its Application to Image
Categorization, by Wen Ju and H. D. Cheng, New Mathematics and Natural
Computation (World Scientific), Vol. 9, No. 1, 2742, 2013. 

Activism and Nations Building in Pervasive Social Computing Using
Neutrosophic Cognitive Maps (NCMs), by
A.Victor Devadoss, M. Clement Joe Anand, International Journal of Computing
Algorithm, Volume: 02, Pages: 257262, October 2013. 

A Study of Quality in Primary Education Combined Disjoint Block Neutrosophic
Cognitive Maps (CDBNCM), by
A.Victor Devadoss, M. Clement Joe
Anand, A. Joseph Bellarmin,
IndoBhutan International Conference On
Gross National Happiness Vol. 02, Pages: 256261,October 2013. 

Segmentation of Breast
Ultrasound Images Based on Neutrosophic Method, by Ming Zhang, Ling
Zhang, H. D. Cheng, Optical Engineering, 49(11), 117001117012, 2010. 

A Neutrosophic Approach to
Image Segmentation Based on Watershed Approach, by Ming Zhang, Ling
Zhang, H. D. Cheng, Signal Processing, 90(5), 15101517, 2010. 

On
neutrosophic
paraconsistent topology,
by F .G.
Lupianez,
Kybernetes 39 (2010), 598601. 

Strategy on T, I, F Operators. A Kernel
Infrastructure in Neutrosophic Logic, by Florentin Smarandache, in
Multispace and Multistructure, Vol. 4, 414419, 2010. 

On Similarity and Entropy of Neutrosophic Sets, by
Pinaki Majumdar & S. K. Samanta. M.U.C Women College, Burdwan (W. B.),
India, 2013. 

An Effective Neutrosophic SetBased Preprocessing Method for Face
Recognition, by Mohammad Reza Faraji and Xiaojun Qi, Utah State University,
Logan, 2013. 

Toward Dialectic Matter Element of Extenics Model, by Liu Feng, Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 420429, 2010. 

Self Knowledge and Knowledge Communication, by Liu Feng and Florentin
Smarandache, in Multispace and Multistructure, Vol. 4, 430435, 2010. 

A Neutrosophic Description Logic, by
Haibin Wang, Andre Rogatko,
Florentin Smarandache, Rajshekhar Sunderraman,Proceedings
of 2006 IEEE International Conference on Granular
Computing, edited by YanQing Zhang and Tsau
Young Lin, Georgia State University, Atlanta, 305308, 2006. 

Neutrosophic Relational Data Model, by Haibin Wang, Rajshekhar Sunderraman,
Florentin Smarandache, Andre Rogatko, Critical Review (Society for
Mathematics of Uncertainty), Creighton University, Vol. II, 1935, 2008. 

Short Definitions
of Neutrosophic Notions [in Russian], by F. Smarandache, translated by A.
Schumann, Philosophical Lexicon, MinskMoscow, Econompress, BelarusRussia,
2008. 

Neutrosophic Logic Based Semantic Web Services Agent, by Haibin Wang,
YanQing Zhang, Rajshekhar Sunderraman, Florentin Smarandache, in Multispace
and Multistructure, Vol. 4, 505519, 2010. 

Neutrosophic Transdisciplinarity (MultiSpace & MultiStructure), by
Florentin Smarandache, presented at Scoala de Vara Internationala,
Interdisciplinara si Academica, Romanian Academy, Bucharest, 610 July 2009. 

Neutrosophic Logic as a Theory of Everything in Logics, by Florentin
Smarandache, in Multispace and Multistructure, Vol. 4, 525527, 2010. 

Blogs on Applications of Neutrosophics and Multispace in Sciences, by
Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 528548,
2010. 

A Neutrosophic Multicriteria Decision Making
Method, by Athar Kharal, National University of Science and Technology,
Islamabad, Pakistan. 

A multicriteria decisionmaking
method using aggregation operators for simplified neutrosophic sets, by J.
Ye, Journal of Intelligent and Fuzzy Systems (2013) doi: 10.3233/IFS130916.


Single valued neutrosophic
crossentropy for multicriteria decision making problems, by Jun Ye, Applied
Mathematical Modelling (2013) doi: 10.1016/j.apm.2013.07.020. 

Multicriteria decisionmaking method using the correlation coefficient under
singlevalued neutrosophic environment, by Jun Ye, International Journal of
General Systems, Vol. 42, No. 4, 386394, 2013. 

Similarity Measures between Interval Neutrosophic Sets and their
Multicriteria Decision Method, by Jun Ye, Shaoxing Univ., China. 

Neutrosophic Degree of a Paradoxicity, by Florentin Smarandache, in
Multispace and Multistructure, Vol. 4, 605607, 2010. 

Neutrosophic Diagram and Classes of Neutrosophic Paradoxes, or To The
OuterLimits of Science, by Florentin Smarandache, Prog. Physics, Vol. 4,
1823, 2010. 

Sdenying a Theory, by Florentin Smarandache, in Multispace and
Multistructure, Vol. 4, 622629, 2010. 

Five Paradoxes and a General Question on Time Traveling, by Florentin
Smarandache, Prog. Physics, Vol. 4, 24, 2010. 

H. D. Cheng, Yanhui Guo and Yingtao Zhang, A Novel Image Segmentation
Approach Based on Neutrosophic Set and Improved Fuzzy Cmeans Algorithm,
New Mathematics and Natural Computation, Vol. 7, No. 1 (2011) 155171. 

Degree of Negation of an Axiom, by F.
Smarandache,to appear in the Journal of Approximate Reasoning,
arXiv:0905.0719. 

Remedy for Effective Cure of Diseases using Combined Neutrosophic
Relational Maps, by
M R Bivin, N.Saivaraju and K S Ravichandran,
International
Journal of Computer Applications, 12(12):18?23,
January 2011. Published by Foundation of Computer Science. 

Neutrosphic Research Method, by F. Smarandache,
in Multispace & Multistructure. Neutrosophic
Transdisciplinarity, NESP, Finland, pp. 395548 and respectively
732733, 2010. 

A Tool for Qualitative Causal Reasoning On Complex Systems, by Tahar
Guerram, Ramdane Maamri, and Zaidi Sahnoun, IJCSI International Journal of
Computer Science Issues, Vol. 7, Issue 6, November 2010. 

A Study on Suicide problem using Combined
Overlap Block Neutrosophic Cognitive Maps, by P. Thiruppathi,
N.Saivaraju, K.S. Ravichandran, International
Journal of Algorithms, Computing and Mathematics, Vol. 3, Number 4, November
2010. 

On various neutrosophic
topologies,
Francisco Gallego
Lupiáñez,
Recent
advances in Fuzzy Systems, WSEAS (Athens , 2009), 5962. 

Interval
neutrosophic sets and
Topology, by F .G.
Lupianez,
Kybernetes 38
(2009), 621624. 

On various
neutrosophic topologies,
by F .G.
Lupiáñez,
Kybernetes 38
(2009), 10091013. 

Interval neutrosophic sets
and topology,
Francisco Gallego
Lupianez,
Kybernetes: The
International Journal of Systems & Cybernetics, Volume 38, Numbers
34, 2009 , pp. 621624 (4). 

Neutrosophic logics on NonArchimedean Structures, by Andrew
Schumann, Critical Review, Creighton
University, USA, Vol. III, 3658, 2009. 

Positive, Negative and Neutral Law of Universal Gravitation,
by Fu Yuhua, Fu Anjie, Zhao Ge, New Science and Technology, 2009 (12),
3032. 





On
Neutrosophic Topology,
by F .G.
Lupiáñez,
Kybernetes 37
(2008), 797800. 

Interval
neutrosophic sets and
Topology, by F .G. Lupiáñez,“Applied
and Computational Mathematics”, WSEAS (
Athens , 2008),
110112. 

A Method of Neutrosophic Logic to Answer Queries in Relational Database,
by Smita Rajpal, M.N. Doja and Ranjit Biswas, Journal of Computer Science 4
(4): 309314, 2008. 

Ensemble Neural Networks
Using Interval Neutrosophic Sets and Bagging, by
Pawalai Kraipeerapun,
Chun Che Fung,
Kok Wai Wong, Third
International Conference on Natural Computation (ICNC 2007), Haikou, Hainan,
China, August 24August 27, 2007. 

Lithofacies Classification
from Well Log Data using Neural Networks, Interval Neutrosophic Sets and
Quantification
of
Uncertainty,
by
Pawalai Kraipeerapun, Chun Che Fung, and Kok Wai Wong,
World Academy of Science, Engineering and Technology, 23, 2006. 

Redesigning Decision Matrix Method with an
indeterminacybased inference process, by
Jose L. Salmeron, Florentin
Smarandache,
Advances in Fuzzy Sets and Systems, Vol. 1(2), 263271, 2006. 

Neural network ensembles
using interval neutrosophic sets and bagging for
mineral prospectivity prediction and quantification of uncertainty,
by
P.
Kraipeerapun,
C. C. Fung,
W. Brown and K.
W.
Wong,
2006 IEEE Conference on Cybernetics and Intelligent Systems, 79 June 2006,
Bangkok, Thailand. 

Processing Uncertainty and Indeterminacy in
Information Systems success mapping, by
Jose L. Salmeron, Florentin
Smarandache,
arXiv:cs/0512047v2. 

The Combination of Paradoxical, Uncertain, and
Imprecise Sources of Information based on DSmT and NeutroFuzzy Inference,
by
Florentin Smarandache, Jean
Dezert; in
arXiv:cs/0412091v1.
A version of
this
paper published in Proceedings of 10th
International Conference on Fuzzy Theory and Technology (FT&T 2005), Salt
Lake City, Utah, USA, July 2126, 2005. 

Book Review by Milan Mares: W. B. Vasantha Kandasamy and Florentin
Smarandache, Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps,
Kybernetika, Vol. 40 (2004), No. 1, [151]15. 

SetTheoretic Operators on Degenerated Neutrosophic Set, by H. Wang, Y.
Zhang, R. Sunderraman, F. Song, Georgia State UNiversity, Atlanta, 2004. 

Neutrosophy in situation analysis,
AnneLaure Jousselme, Patrick Maupin, Proc. of Fusion 2004 Int. Conf.
on Information Fusion, pp. 400406,
Stockholm, Sweden, June 28July1, 2004 (http://www.fusion2004.org). 

Preamble to Neutrosophic Logic, by C. Lee, MultipleValued Logic / An
International Journal, Vol. 8, No. 3, 285296, June 2002. 

Neutrosophy, a New Branch of Philosophy, by Florentin Smarandache,
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·
Optimized Unsupervised Image Classification Based on Neutrosophic Set Theory,
by A.E. Amin. In International Journal of Engineering Research & Technology
(IJERT), Vol. 3 Issue 12, December 2014, pp. 513526.
·
Parallel cmeans algorithm for image segmentation on a reconfigurable mesh
computer,
by Omar Bouattane, Bouchaib Cherradi, Mohamed Youssfi, Mohamed O. Bensalah. In
Parallel Computing, nr. 37, 2011, pp. 230243.
·
Plants Leaves Images Segmentation Based on Pseudo Zernike Moments,
by Ali Behloul, Soundous Belkacemi.
In I.J. Image, Graphics and Signal Processing, 2015, 7, pp. 1723.
Reality Checks for a Distributional Assumption: The Case of Benford Law,
by William M. Goodman. In JSM 2013  Business and Economic Statistics
Section, pp. 27892803.
·
Reasoning about actions with imprecise and incomplete state descriptions,
by Celia da Costa Pereira, Andrea G.B.Tettamanzi. In Fuzzy Sets and Systems,
160, 2009, pp.13831401.
·
Recent developments in natural computation,
by
Jing Tao Yao, Qingfu Zhang, Jingsheng Lei. In NeuroComputing, nr.72,
2009, pp. 2833–2834.
· Red Teaming Military Intelligence
 A New Approach based on Neutrosophic
Cognitive Mapping,
by Suman Rao, 2011, pp. 622627.
· Rough Sets in Neutrosophic Approximation Space,
by C. Antony Crispin Sweety, I. Arockiarani.
In Annals of Fuzzy Mathematics and Informatics, 24 p.
· Simplified neutrosophic exponential similarity measures for the initial
evaluation/diagnosis of benign prostatic hyperplasia symptom,
by Jing Fu, Jun Ye, 17 p.
· Single valued neutrosophic minimum spanning tree and its clustering method,
by Jun Ye. In Journal of Intelligent Systems, pp. 428.
·
Special issue on granular soft computing for pattern recognition and mining,
by Sankar K. Pal, Saroj K. Meher. In Applied Soft Computing, 2013, 2 p.
The Extended VIKOR Method for Multiple Criteria Decision Making Problem Based
on Neutrosophic Hesitant Fuzzy Set,
by Peide Liu, Lili Zhang, 13 p.
Thermogram Breast Cancer Prediction Approach based on Neutrosophic Sets and
Fuzzy CMeans Algorithm,
by Tarek Gaber, Gehad Ismail, Ahmed Anter, Mona Soliman, Mona Ali, Noura
Semary, Aboul Ella Hassanien, Vaclav Snasel, 2015, pp 42544257.
TOPSIS method for multiattribute group decision making under singlevalued
neutrosophic environment,
by Pranab Biswas, Surapati Pramanik, Bibhas C. Giri, 37 p.
Trapezoidal neutrosophic set and its application to multiple
attribute decision making,
Jun Ye, Neural Comput & Applic (2015)
26:1157–1166; DOI 10.1007/s0052101417876.
Several
Trigonometric Hamming Similarity Measures of Rough Neutrosophic Sets and their
Applications in Decision Making,
by Kalyan Mondal, Surapati Pramanik, Florentin Smarandache. Published in
Florentin Smarandache & Surapati Pramanik (Editors): New Trends in
Neutrosophic Theory and Applications, Pons Editions, Brussels, Belgium, EU,
2016, ISBN 9781599734989, pp. 93 – 103.
From Linked Data
Fuzzy to Neutrosophic Data Set Decision Making in Games vs. Real Life,
by Florentin Smarandache, Mirela Teodorescu. Published in Florentin Smarandache
& Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and
Applications, Pons Editions, Brussels, Belgium, EU, 2016, ISBN
9781599734989, pp. 115 – 125.
Single Valued
Neutrosophic Graphs,
by Said Broumi, Mohamed Talea, Assia Bakali, Florentin Smarandache. Published in
Florentin Smarandache & Surapati Pramanik (Editors): New Trends in
Neutrosophic Theory and Applications, Pons Editions, Brussels, Belgium, EU,
2016, ISBN 9781599734989, pp. 187 – 202.
On Bipolar Single
Valued Neutrosophic Graphs, by Said Broumi, Mohamed Talea, Assia Bakali,
Florentin Smarandache. Published in Florentin Smarandache & Surapati Pramanik
(Editors): New Trends in Neutrosophic Theory and Applications, Pons
Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 203 – 221.
Operations on
Interval Valued Neutrosophic Graphs,
by S. Broumi, F. Smarandache, M. Talea, A. Bakali. Published in Florentin
Smarandache & Surapati Pramanik (Editors): New Trends in Neutrosophic Theory
and Applications, Pons Editions, Brussels, Belgium, EU, 2016, ISBN
9781599734989, pp. 231 – 254.
Neutrosophic
Crisp Probability Theory & Decision Making Process,
by A. A. Salama, Florentin Smarandache. Published in Florentin Smarandache &
Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and
Applications, Pons Editions, Brussels, Belgium, EU, 2016, ISBN
9781599734989, pp. 291 – 301.
A New Order Relation
on the Set of Neutrosophic Truth Values, by Florentin Smarandache, Huda E. Khalid,
Ahmed K. Essa. Published in Florentin Smarandache & Surapati Pramanik (Editors):
New Trends in Neutrosophic Theory and Applications, Pons Editions,
Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 413 – 414.
Role of Neutrosophic Logic in Data Mining, by
Kalyan Mondal, Surapati Pramanik, Bibhas C. Giri. Published in Florentin
Smarandache & Surapati Pramanik (Editors): New Trends in Neutrosophic
Theory and Applications, Pons Editions,
Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 15 – 23.
Some Distance Measures of Single Valued Neutrosophic Hesitant Fuzzy Sets and
Their Applications to Multiple Attribute Decision Making,
by Pranab Biswas, Surapati Pramanik, Bibhas C. Giri. Published in Florentin
Smarandache & Surapati Pramanik (Editors): New Trends in Neutrosophic
Theory and Applications, Pons Editions,
Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 27 – 34.
Distance and Similarity Measures for Multiple Attribute Decision Making with
SingleValued Neutrosophic Hesitant Fuzzy Information,
by Ridvan Sahin, Peide Liu. Published in Florentin Smarandache & Surapati
Pramanik (Editors): New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 35 – 54.
GRA Method of Multiple Attribute Decision Making with Single Valued Neutrosophic
Hesitant Fuzzy Set Information, by Pranab Biswas,
Surapati Pramanik, Bibhas C. Giri. Published in Florentin Smarandache & Surapati
Pramanik (Editors): New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 55 – 63.
TOPSIS for Solving MultiAttribute Decision Making Problems under BiPolar
Neutrosophic Environment, by Partha Pratim Dey,
Surapati Pramanik, Bibhas C. Giri. Published in Florentin Smarandache & Surapati
Pramanik (Editors): New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 65 – 77.
TOPSIS Approach for Multi Attribute Group Decision Making in Refined
Neutrosophic Environment, by Surapati Pramanik,
Durga Banerjee, B. C. Giri. Published in Florentin Smarandache & Surapati
Pramanik (Editors): New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 79 – 91.
Selection of Automated Guided Vehicle using Single Valued Neutrosophic Entropy
Based Novel Multi Attribute Decision Making Technique,
by Nital P. Nirmal, Mangal G. Bhatt. Published in Florentin Smarandache &
Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and
Applications, Pons Editions, Brussels, Belgium,
EU, 2016, ISBN 9781599734989, pp. 105 – 114.
Extended Projection Based Models for Solving Multiple Attribute Decision Making
Problems with Interval Valued Neutrosophic Information,
by Partha Pratim Dey, Surapati Pramanik, Bibhas C. Giri. Published in Florentin
Smarandache & Surapati Pramanik (Editors): New Trends in Neutrosophic
Theory and Applications, Pons Editions,
Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 127 – 140.
Multi Criteria Decision Making Method in Neutrosophic Environment Using a New
Aggregation Operator, Score and Certainty
Function, by Kanika Mandal, Kajla Basu. Published in Florentin Smarandache &
Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and
Applications, Pons Editions, Brussels, Belgium,
EU, 2016, ISBN 9781599734989, pp. 141 – 160.
Logistics Center Location Selection Approach Based on Neutrosophic
MultiCriteria Decision Making, by Surapati
Pramanik, Shyamal Dalapati, Tapan Kumar Roy. Published in Florentin Smarandache
& Surapati Pramanik (Editors): New Trends in Neutrosophic Theory and
Applications, Pons Editions, Brussels, Belgium,
EU, 2016, ISBN 9781599734989, pp. 161 – 174.
Neutrosophic Applications in Elearning: Outcomes, Challenges and Trends,
by Nouran M. Radwan. Published in Florentin Smarandache & Surapati Pramanik
(Editors): New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 177 –
184.
A Neutrosophic Graph Similarity Measures, by
Shimaa Fathi, Hewayda Elghawalby , A.A. Salama. Published in Florentin
Smarandache & Surapati Pramanik (Editors): New Trends in Neutrosophic
Theory and Applications, Pons Editions,
Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 223 – 230.
Applications of Neutrosophic Sets in Medical Image Denoising and Segmentation,
by Deepika Koundal, Savita Gupta, Sukhwinder Singh. Published in Florentin
Smarandache & Surapati Pramanik (Editors): New Trends in Neutrosophic
Theory and Applications, Pons Editions,
Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 257 – 275.
On a
Model of Love dynamics: A Neutrosophic Analysis,
by Santanu Ku. Patro. Published in Florentin Smarandache & Surapati Pramanik
(Editors): New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 279 –
287.
On Neutrosophic Sets and Topology: A Neutrosophic Analysis,
by Francisco Gallego Lupianez. Published in Florentin Smarandache & Surapati
Pramanik (Editors): New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 305 –
313.
Some GIS Topological Concepts via Neutrosophic Crisp Set Theory,
by A.A. Salama, I.M.Hanafy, Hewayda Elghawalby, M.S.Dabash. Published in
Florentin Smarandache & Surapati Pramanik (Editors): New Trends in
Neutrosophic Theory and Applications, Pons
Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 315 – 323.
Hausdorff Extensions in Single Valued Neutrosophic S
Centered Systems, by J. Martina Jency, I.
Arockiarani. Published in Florentin Smarandache & Surapati Pramanik (Editors):
New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 327 –
344.
The AlexandrovUrysohn Compactness On Single Valued Neutrosophic S Centered
Systems, by Saeid Jafari, I. Arockiarani, J. Martina Jency. Published in Florentin Smarandache & Surapati Pramanik (Editors):
New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 345 –
361.
Foundation for Neutrosophic Mathematical Morphology,
by Eman.M.ElNakeeb, H. ElGhawalby, A.A.Salama, S.A.ElHafeez. Published in
Florentin Smarandache & Surapati Pramanik (Editors): New Trends in
Neutrosophic Theory and Applications, Pons
Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 363 – 379.
Smooth Neutrosophic Preuniform Spaces, by M. K.
El Gayyar. Published in Florentin Smarandache & Surapati Pramanik (Editors):
New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 381 –
393.
Ultra Neutrosophic Crisp Sets and Relations, by
Hewayda ElGhawalby, A. A. Salama. Published in Florentin Smarandache & Surapati
Pramanik (Editors): New Trends in Neutrosophic Theory and Applications,
Pons Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 395 –
402.
Neutrosophic Crisp Closed Region and Neutrosophic Crisp Continuous Functions,
by A.A.Salama, I.M.Hanafy, Hewayda Elghawalby, M.S.Dabash. Published in
Florentin Smarandache & Surapati Pramanik (Editors): New Trends in
Neutrosophic Theory and Applications, Pons
Editions, Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 403 – 412.
Expanding Comparative Literature into Comparative Sciences Clusters with
Neutrosophy, by Fu Yuhua. Published in Florentin
Smarandache & Surapati Pramanik (Editors): New Trends in Neutrosophic
Theory and Applications, Pons Editions,
Brussels, Belgium, EU, 2016, ISBN 9781599734989, pp. 415 – 420.
Brain Tumor Segmentation using hybrid of both Netrosophic
Modified Nonlocal Fuzzy Cmean and Modified Level Sets, by Shaima Elnazer,
Mohamed Morsy,
Mohy Eldin A. AboElsoud, International Journal
of Science and Research (IJSR), Vol. 5, Issue 2, February 2016.
Definitions Derived from
Neutrosophics, by F. Smarandache,
Multiple Valued Logic / An
International Journal>, USA, ISSN 10236627, Vol. 8, No. 56, pp. 591604,
2002.
Degrees of Membership > 1 and < 0 of the Elements With Respect to a Neutrosophic
OffSet,
by Florentin Smarandache:
Neutrosophic Sets and Systems, vol. 12, 2016, pp. 38.
NSS Neutrosophic Articles
SEMINARS
ON NEUTROSOPHICS:
Applicación de la Lógica y Conjuncto Neutrosóficos, presentación por F.
Smarandache, Universidad de Guayaquil, Facultad de Ciencias Matemáticas y
Físicas, Ecuador, 21 de diciembre 2017.
Neutrosophic Set and Logic / Interval Neutrosophic Set and Logic / Neutrosophic
Probability and Neutrosophic Statistics / Neutrosophic Precalculus and Calculus
/ Symbolic Neutrosophic Theory / Open Challenges of Neutrosophic Set,
lecture series, by F. Smarandache, Nguyen Tat Thanh University, Ho Chi Minh
City, Vietnam, 31^{st} May  3^{th} June 2016.
Neutrosophic
Set and Logic / Interval Neutrosophic Set and Logic / Neutrosophic Probability
and Neutrosophic Statistics / Neutrosophic Precalculus and Calculus / Symbolic
Neutrosophic Theory / Open Challenges of
Neutrosophic Set,
by F. Smarandache, Ho Chi Minh City University of Technology (HUTECH), Ho Chi
Minh City, Vietnam, 30^{th} May 2016.
Neutrosophic Set and Logic / Interval Neutrosophic Set and
Logic / Neutrosophic Probability and Neutrosophic Statistics / Neutrosophic
Precalculus and Calculus / Symbolic Neutrosophic Theory / Open Challenges of
Neutrosophic Set,
lecture series, by F. Smarandache, Vietnam national University, Vietnam
Institute for Advanced Study in Mathematics, Hanoi, Vietnam, lecture series, 14^{th}
May – 26^{th} May 2016.
Foundations of
Neutrosophic Logic and Set and their Applications to Information Fusion,
by F.
Smarandache, Hanoi University, 18^{th} May 2016.
Neutrosophic Theory and Applications,
by F.
Smarandache, Le Quy Don Technical University, Faculty of Information technology,
Hanoi, Vietnam, 17^{th} May 2016.
Applications of
Neutrosophic Set and Logic in Medicine (Diagnoses; Decision Making; Images
Segmentations,
Denoising,
Enhancement, Thresholding and Processing),
by F. Smarandache, short opening video speech, 2^{nd} International
Scientific Nursing Conference, Faculty of Nursing, PortSaid University, Egypt,
20 April 2016.
Nursing Researches & Neutrosophic Techniques,
by A. Salama, F. Smarandache, 2^{nd} International Scientific Nursing
Conference, Faculty of Nursing, PortSaid University, Egypt, 20 April 2016.
Bipolar Neutrosophic Sets and their Application Based on
MultiCriteria Decision Making Problems
[poster], by Irfan
Deli, Mumtaz Ali, Florentin Smarandache, Proceedings of the 2015 International
Conference on Advanced Mechatronic Systems, Beijing, China, August 2224, 2015.
Types of Neutrosophic
Graphs and neutrosophic Algebraic Structures together with their Applications in
Technology,
by F. Smarandache, Universitatea Transilvania din Brasov, Facultatea de Design
de Produs si Mediu, Brasov, Romania, 06 June 2015.
(T,
I, F)Neutrosophic Structures,
Annual Symposium of the Institute of Solid Mechanics,
by F. Smarandache, SISOM 2015, Robotics and Mechatronics. Special Session and
Work Shop on VIPRO Platform and RABOR Rescue Robots, Romanian Academy,
Bucharest, 2122 May 2015.
Neutrosophic Soluble Groups, Neutrosophic Nilpotent Groups and Their Properties,
by Mumtaz Ali & Florentin Smarandache, Annual Symposium of the Institute of
Solid Mechanics, SISOM 2015, Robotics and Mechatronics. Special Session and Work
Shop on VIPRO Platform and RABOR Rescue Robots, Romanian Academy, Bucharest,
2122 May 2015.
Foundations of Neutrosophic Logic and Set Theory
and their Applications in Science. Neutrosophic Statistics and Neutrosophic
Probability. nValued Refined Neutrosophic Logic, by F. Smarandache, Universidad
Complutense de Madrid, Facultad de Ciencia Matematicas, Departamento de
Geometria y Topologia, Instituto Matematico Interdisciplinar (IMI), Madrid,
Spain, 9th July 2014.
 Foundations of
Neutrosophic set and Logic and Their Applications to Information Fusion,
by F. Smarandache, Osaka University, Inuiguchi Laboratory, Department of
Engineering Science, Osaka, Japan, 10 January 2014.. 
 Foundations of
Neutrosophic set and Logic and Their Applications to Information Fusion,
by F. Smarandache, Okayama University of Science, Kroumov Laboratory,
Department of Intelligence Engineering, Okayama, Japan, 17 December 2013. 

An
Introduction to Information Fusion Level 1 and to Neutrosophic Logic/Set with
Applications,
ENSIETA (National Superior School of Engineers and the Study of Armament),
Brest, France, 2 July 2010. 

An Introduction to Fusion Level 1 and to Neutrosophic
Logic/Set with Applications,
presented by F. Smarandache at Air Force Research Laboratory, in Rome, NY,
USA, July 29, 2009. 

An Introduction to Neutrosophic Logic in Arabic
Philosophy, presented by F. Smarandache & Salah Osman, Minufiya
University, Shebin Elkom, Egypt, 17 December 2007. 

A Neutrosophic Description Logic,
by Haibin Wang, Florentin Smarandache, Andre Rogatko, Rajshekhar Sunderraman,
2006 IEEE International Conference on Granular Computing, Georgia State
University, Atlanta, USA, May 11, 2006. 

An Introduction to Neutrosophic Logic and Set,
by F. Smarandache, Invited Speaker at and sponsored by University Kristen
Satya Wacana, Salatiga, Indonesia, May 24, 2006. 

An Introduction to
Neutrosophic Logic and Set,
by F. Smarandache, Invited Speaker at and sponsored by University Sekolah
Tinggi Informatika & Komputer Indonesia, Malang, Indonesia, May 19, 2006. 

Neutrosophic
Set 
A Generalization
of the Intuitionistic Fuzzy Set,
by F. Smarandache (Chair of the Session on Soft Computing), 2006 IEEE
International Conference on Granular Computing, Georgia State University,
Atlanta, USA, May 11, 2006. 

Introduction to Neutrosophics and their Applications,
by F. Smarandache, Invited speaker at Pushchino Institute of Theoretical and
Experimental Biophysics, Pushchino (Moscow region), Russia, August 9, 2005. 

To be and Not to be  An Introduction to
Neutrosophy: A Novel Decision Paradigm, by F. Smarandache & S.
Bhattacharya, Invited speakers at and sponsored by Jadavpur University,
Seminar at the Institute of Business Management, National Council of
Education, Kolkata, India, December 23, 2004.



Generalization of the Intuitionistic Fuzzy Set to the
Neutrosophic Set, by F. Smarandache & M. Khoshnevisan, 2003 BISC FLINTCIBI
International Workshop on Soft Computing for Internet and Bioinformatics,
University of Berkeley, December 1519, 2003. 

Neutrosophic Logic Operators, by F. Smarandache,
International Congress of Mathematicians, Beijing, China, 2028 August 2002. 

A Unifying Field in Logics: Neutrosophic Logic. /
Neutrosophic Probability, Neutrosophic Set, by F. Smarandache,
American Mathematical Society Meeting, University of California at Santa
Barbara, USA, March 11, 2000.




Neutrosophic Probability, Set, and Logic, by F.
Smarandache, Second Conference of the Romanian Academy of Scientists, American
Branch, New York City, USA, February 2, 1999. 
NEUTROSOPHIC SUBJECTS FOR FUTURE RESEARCH:

Neutrosophic
topologies, including neutrosophic metric spaces and smooth topological
spaces. 

Neutrosophic
numbers (a+bI, where I = indeterminate and I^2 = I,
mI+nI=(m+n)I, 0I = 0, and a, b are real or complex numbers) and
arithmetical operations, including ranking procedures for neutrosophic
numbers. 

Neutrosophic
rough sets. 

Neutrosophic
relational structures, including neutrosophic relational equations,
neutrosophic similarity relations, and neutrosophic ordering. 

Neutrosophic geometry (Smarandache geometries). 

Neutrosophic
probability. 

Neutrosophic
logical operations, including nnorms, nconorms, neutrosophic implicators,
neutrosophic quantifiers. 

Measures of
neutrosophication. 
Neutrosophic
soft algebraic structures.
Neutrosophic
triplet structures.
Neutrosophic
models.
Neutrosophic
matrix, bimatrix, ..., nmatrix.

Neutrosophic graph, which is a graph that has at least one indeterminate
edge or one indeterminate node. 

Neutrosophic tree,
which is a tree that has at least one
indeterminate edge or one indeterminate node. 
Neutrosophic
fusion rules for information fusion.

Applications:
neutrosophic relational databases, neutrosophic image (thresholding,
denoising, segmentation) processing,
neutrosophic linguistic variables,
neutrosophic decision making and preference structures, neutrosophic expert
systems, neutrosophic reliability theory, neutrosophic soft computing
techniques in ecommerce and elearning, image segmentation, etc. 
WEBINARS ON NEUTROSOPHICS:
A Perspective Shift from Fuzzy Logic to Neutrosophic
Logic, by Dr. Swati Aggarwal, winner of the 2015 IEEE CIS Webinar
Competition for Students and Professionals  Real World Applications and
Emerging Topics in Computational Intelligenceat
https://youtu.be/WryVUv5Bq98
A Neutrosophic Recommender System for Medical
Diagnosis Based on Algebraic Neutrosophic Measures
http://se.mathworks.com/matlabcentral/fileexchange/55239aneutrosophicrecommendersystemformedicaldiagnosisbasedonalgebraicneutrosophicmeasures
Special session
Moving Towards Neutrosophic Logic, organized by Swati Aggarwal,
at the IEEE FUZZIEEE35 World Congress on Computational Intelligence,
Vancouver, Canada, 2529 July 2016.
NEUTROSOPHIC SETS AND SYSTEMS (international journal):
2013 (Vol.
1); 2014 (Vol.
2;
Vol. 3;
Vol. 4;
Vol. 5;
Vol. 6); 2015 (Vol.
7;
Vol. 8;
Vol. 9;
Vol. 10); 2016 (Vol.
11;
Vol. 12;
Vol. 13;
Vol.
14); 2017 (Vol. 15;)
new);
Critical Review: 2015 (Vol.
9; Vol. 10;
Vol. 11;
Vol. 12;
Vol. 13
new).
Encyclopedia of
Neutrosophic Researchers, Vol. 1
new
NEUTROSOPHIC SCIENCE INTERNATIONAL ASSOCIATION
