Published Scientific Articles

(mathematics, statistics, finance, information fusion, engineering, computer science)

[Vol. I]

 

Mobile Robot Navigation Using Artificial Landmarks and GPS, by Kimihiro Okuyama,  Mohd Anasri, Florentin Smarandache, Valeri Kroumov, Bulletin of the Research Institute of Technology, Okayama University of Science, Japan, 2013.

Applications of Extenics to 2D-Space and 3D-Space, by F. Smarandache, V. Vladareanu, SKIMA IEEE International Conference, Chengdu, China, 2012.

Generalization of the Distance and Dependent Function in Extenics to 2D, 3D, and n-D, Prog. Phys., Vol. 3, 54-61, 2012.

Eccentricity, Space Bending, Dimension, by M. Nitu, F. Smarandache, M.E. Selariu, mss. 2013.

The Fifth Function of University: “Neutrosophic E-function” of Communication-Collaboration-Integration of University in the Information Age, mss. by F. Smarandache, S. Vlăduţescu

Multivariate Ratio Estimation With Known Population Proportion of Two Auxiliary Characters For Finite Population, by Rajesh Singh, Sachin Malik, . A. Adewara, Florentin Smarandache

Cardinal Functions and Integral Functions, by Mircea Selariu, Florentin Smarandache, Marian Nitu, International Journal of Geometry, Vol. 1, No. 1, 54-66, 2012.

Contradiction measures and specificity degrees of basic belief assignments, by Florentin Smarandache, Arnaud Martin, Christophe Osswald, Proceedings of the 14th International Conference on Information Fusion, Chicago, Illinois, USA, July 5-8, 2011.

A new proof of Menelaus's Theorem of Hyperbolic Quadrilaterals in the Poincaré Model of Hyperbolic Geometry, by F. Smarandache, C. Barbu, International J.Math. Combin. Vol.3(2012), 118-123, also in http://arxiv.org/abs/1105.0397.

Fusion of Imprecise Qualitative Information, by Xinde Li, Xianzhong Dai, Jean Dezert, Florentin Smarandache, Applied Intelligence, Springer, Vol. 33 (3), 340-351, 2010.

Ratio Estimators in Simple Random Sampling when Study Variable is an Attribute, by Rajesh Singh, Mukesh Kumar, Florentin Smarandache, World Applied Sciences Journal, Vol. 11, No. 5, 586-589, 2011.

Determinants of Population Growth in Rajasthan: An Analysis, by V. V. Singh, A. Mittal, N. Sharma, F. Smarandache, in arXiv:1012.0211.

Two Applications of Desargues Theorem, by F. Smarandache, I. Patrascu (to be published), in arXiv:1101.2264v1.

Two Remarkable Orthohomological Triangles, by I. Patrascu, F. Smarandache, also in arXiv:1009.0789.

Pantazi's Theorem Regarding the Bi-Orthological Triangles, by Ion Patrascu & Florentin Smarandache, also in arxiv:1010.0194.

Two Triangles with the Same Orthocenter and a Vectorial Proof of Stevanovic's Theorem, by I. Patrascu, F. Smarandache.

  A Generalization of Certain Remarkable Points of the Triangle Geometry, by C. Coanda, F. Smarandache, I. Patrascu, also in arXiv:1008.2665.

Another Proof of a Theorem Relative to the Orthological Triangles, by I. Patrascu, F. Smarandache.

A Unit Based Crashing Pert Network for Optimization of Software Project Cost, by Priti Singh, Florentin Smarandache, Dipti Chauhan, Amit Bhaghel.

Urbanization Due To Migration: A District Level Analysis Of Migrants From Different Distances For The Rajasthan State, by Jayant Singh, Hansraj Yadav, Florentin Smarandache.

Rural Migration A Significant Cause Of Urbanization: A District Level Review Of Census Data For Rajasthan, by Jayant Singh, Hansraj Yadav, Florentin Smarandache.

Threat Assessment of a Possible Vehicle-Borne Improvised Explosive Device using DSmT, by J. Dezert, F. Smarandache, Proceedings/Forum of Fusion 2010 International Conference, Edinburgh, Scotland, 26-29 July, 2010; and in arXiv:1008.0273.

A Family of Estimators for Estimating Population Mean in Stratified Sampling under Non-Response, by Manoj K. Chaudhary, Rajesh Singh, Rakesh K. Shukla, Mukesh Kumar, Florentin Smarandache, Pakistani Journal of Statistics and Operational Research, Vol. V, No. 1, pp. 47-54, 2009.

Almost Unbiased Estimator for Estimating Population Mean, by Rajesh Singh, Mukesh Kumar, Florentin Smarandache, Pak. J. Stat. Oper. Res., Vol. IV, No. 2, 63-76, 2008.

The Hyperbolic Menelaus Theorem in The Poincaré Disc Model of Hyperbolic Geometry, by Florentin Smarandache and Catalin Barbu, Italian Journal of Mathematics and Applied Mathemnatics, (to appear) 2010.

A Class of Orthohomological Triangles, by C. Coanda, F. Smarandache, I. Patrascu, in http://hal.archives-ouvertes.fr/hal-00493789.

An Application of a Sondat's Theorem Regarding the Orthohomological Triangles, by I. Patrascu & F. Smarandache

An Application of a Theorem of Orthohomological Triangles, by Ion Patrascu and Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 209-211, 2010.

A Multiple Theorem with Isogonal and Concyclic Points, by Dr. Florentin Smarandache and Prof. Ion Patrascu, in Multispace and Multistructure, Vol. 4, 211-214, 2010.

Properties of a Hexagon Circumscribed to a Circle, by Prof. Ion Patrascu, Dr. Florentin Smarandache,  in Multispace and Multistructure, Vol. 4, 215-217, 2010.

Generalization of the Theorem of Menelaus Using a Self-Recurrent Method, by F. Smarandache, translated from French by the author, Seminar in Rabat for the selection and preparation of the Moroccan students for the International Olympiad of Mathematics in Paris - France, 1983; and in http://hal.archives-ouvertes.fr/hal-00495752;

Unification of Fusion Rules (UFR), by Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 285, 2010.

Unification / Combination of Image Fusion Methods, summary by Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 286, 2010.

Fusion of Masses Defined on Infinite Countable Frames of Discernment, by F. Smarandache, A. Martin, in Multispace and Multistructure, Vol. 4, 299-303, 2010.

Importance of Sources using the Repeated Fusion Method and the Proportional Conflict Redistribution Rules #5 and #6, by F. Smarandache & J.Dezert, also in arXiv:1004.1540v1.

Three Conjectures and Two Open Generalized Problems in Number Theory (and Addendum), by Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 560-562, 2010.

Open Questions about Concatenated Primes and Metasequences, by Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 563-565, 2010.

Neutrosophic Degree of a Paradoxicity, by Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 605-607, 2010.

S-denying a Theory, by Florentin Smarandache,  in Multispace and Multistructure, Vol. 4, 622-629, 2010.

Fusion of Sources of Evidence with Different Importances and Reliabilities, by F. Smarandache, J. Dezert, J.-M. Tacnet, Proceedings of Fusion 2010 International Conference, Edinburgh, Scotland, 26-29 July 2010.

Non Bayesian Conditioning and Deconditioning, by J. Dezert, F. Smarandache, in Proceedings of Workshop on the theory of belief functions, April 1-2, 2010, Brest, France (also at http://www.ensieta.fr/belief2010/).

Multi-criteria decision making based on DSmT-AHP, by J. Dezert, J.-M. Tacnet, M. Batton-Hubert, F. Smarandache, in Proceedings  of Workshop on the theory of belief functions, April 1-2, 2010, Brest, France (also at http://www.ensieta.fr/belief2010/).

α-Discounting Method for Multi-Criteria Decision Making (α-D MCDM), by Florentin Smarandache, Proceedings of Fusion 2010 International Conference, Edinburgh, Scotland, 26-29 July 2010. also in arXiv:1004.1540v1.

Unification of Fusion Theories (UFT), by F. Smarandache, International Journal of Applied Mathematics & Statistics, Vol. 2, 1-14, 2004.

Algebraic Generalization of Venn Diagram, by Florentin Smarandache, in Multispace and Multistructure, Vol. 4, 84-86, 2010; also in http://hal.archives-ouvertes.fr/hal-00488487.

Generalization of a Remarkable Theorem, by I. Patrascu, F. Smarandache.

A Theorem about Simultaneous Orthological and Homological Triangles, by F. Smarandache, also in arXiv:1004.0347.

Generalization and Alternatives of Kaprekar's Routine, by F. Smarandache, also in arXiv:1005.3235.

Limits of Recursive Triangle and Polygon Tunnels, by F. Smarandache, also in arXiv:1006.0111.

A Group-Permutation Algorithm to Solve the Generalized Sudoku, by Florentin Smarandache, extended version and translation from author’s book Frate cu meridianele și paralelele, Vol. IV, OffsetColor, Rm. Vâlcea, Romania, pp. 201-202, 2008; also in arXiv:1007.0096.

Nine Solved and Eight Open Open Problems in Elementary Geometry, by Florentin Smarandache, in arXiv:1003.2153.

 Improvement in Estimating the Population Mean Using Exponential Estimator in Simple Random Sampling, by Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache, Bulletin of Statistics & Economics, Vol. 3, No. A09, pp. 13-18, Fall 2009.

 District Level Analysis of Urbanization from Rural-to-Urban Migration in the Rajasthan State, by Y. Singh, H. Yadav, F. Smarandache, in arXiv.org:0912.0458v1.

  Partition of a Set Which Contains an Infinite Arithmetic (Respectively Geometric) Progression, by F. Smarandache, in arXiv.org:0911.4415.

 A Method of Solving Certain Nonlinear Diophantine Equations, by F. Smarandache, in arXiv:0910.2246.

  The Dual Theorem Relative to Simson's Line, by I. Patrascu, F. Smarandache (trans.).

  De Longchamps' Point, Line and Circle, by I. Patrascu, F. Smarandache (trans.).

  The Dual of the Orthopole Theorem, by I. Patrascu, F. Smarandache (trans.).

  Tracking object's type changes with fuzzy based fusion rule, by A. Tchamova, J. Dezert, F. Smarandache, Proceedings of the First International Conference on Modeling and Development of Intelligent Systems (MDIS 2009), pp. 270-280, October 22-25, 2009, Sibiu, Romania.

  A Class of DSm Conditioning Rules, by F. Smarandache, M. Alford, in arXiv:0908.0100v1, Proceedings of COGIS 2009 International Conference, Paris, France, 16-18 November 2009.

 A Class of Stationary Sequences, by F. Smarandache, in Gamma, XXIII, Year VIII, No. 1, pp. 5-6, 1985.

  About an identity and its application, by M. Bencze & F. Smarandache, “Octogon Mathematical Journal”, Vol. 13, No. 1, 2005.

Refined Labels for Qualitative Information Fusion in Decision-Making Support System, by F. Smarandache, J. Dezert & Xinde Li, Proceedings of Fusion 2009 International Conference, Seattle, USA, 2009.

Ratio Estimators in Simple Random Sampling Using Information on Auxiliary Attribute”, by Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache, in Pakistan Journal of Statistics & Opererational Research, Vol. IV, No. 1, pp. 47-53, 2008.

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

<Comments on "A new combination of evidence based on compromise" by K. Yamada>, by Jean Dezert, Arnaud Martin, Florentin Smarandache, in Fuzzy Sets and Systems, 160, 6 (2009) 853-855.

General Combination Rules for Qualitative and Quantitative Beliefs, by Arnaud Martin, Christophe Osswald, Jean Dezert, Florentin Smarandache, in Journal of Advances in Information Fusion (JAIF), Volume 3, Number 2, pp. 67-89, December 2008.

Combination of qualitative information with 2-Tuple linguistic representation in Dezert-Smarandache Theory, by X. Li, F. Smarandache, J. Dezert, X.-Z Dai,  Journal of Computer Science and Technology, Vol. 24, No.4, pp. 786--797, July 2009.

Estimation of Mean in Presence of Non Response Using Exponential Estimator, by R.Singh, M. Kumar, M.K. Chaudhary, F.Smarandache, in arXiv:0906.2462.

Seven Conjectures in Geometry and Number Theory, by F. Smarandache, in arXiv:0903.1380.

Optimum Statistical Test Procedure, by R. Singh, J. Singh, F. Smarandache, in arXiv:0904.1759.

Improvement in Estimating Population Mean using Two Auxiliary Variables in Two-Phase Sampling, by R. Singh, P. Chauhan, N. Sawan, F. Smarandache, in arXiv:0810.2094.

Improved Exponential Estimator for Population Variance Using Two Auxiliary Variables,  by R. Singh, P. Chauhan, N. Sawan, F. Smarandache, in arXiv:0902.0126.

A New Class Fusion Rule for solving Blackman's Association Problem, by Albena Tchamova, Jean Dezert and Florentin Smarandache,  Proceedings of 4-th International IEEE Conference "Intelligent Systems", pp. 8-23 to 8-28, September 6-8, 2008, Varna, Bulgaria.

About Bernoulli's Numbers, by Mihaly Bencze, F. Smarandache, Oct. Int. Mag., Vol. 7, No. 1, 151-153, 1999.

n-ary Fuzzy Logic and Neutrosophic Logic Operators, by F. Smarandache, V. Christianto, in Studies in Logic Grammar and Rhetoric (Belarus), 17 (30), pp. 1-16, 2009, and  arXiv:0808.3109.

DSmT qualitative reasoning based on 2-Tuple linguistic representation model, by Xinde Li, Xianzhong Dai, Jean Dezert, Florentin Smarandache, to appear in Proceedings of 9th International Conference for Young Computer Scientists (ICYCS 2008), Zhang Jia Jie, Hunan, China, November 18-21, 2008 (paper ID 320).

Short Definitions of Neutrosophics [Russian], by F. Smarandache, translated by A. Schumann, Philosophical Lexicon, Minsk-Moscow, Econompress, 2008 (to appear).

Extension of Inagaki General Weighted Operators and A New Fusion Rule Class of Proportional Redistribution of Intersection Masses, by F. Smarandache, in arXiv:0807.1906, July 2008; International Journal of Artificial Intelligence, Vol. 3, No. A09, 79-85, 2009.

A New Probabilistic Transformation of Belief Mass Assignment (DSmP), by J. Dezert & F. Smarandache, Proceedings of Fusion 2008 International Conference, June 30-July 3, 2008, Cologne, Germany.

Target Type Tracking with a New Probabilistic Belief Transformation, by J. Dezert, F. Smarandache, A. Tchamova, P. Konstantinova, to appear in the third volume of DSmT, 2008.

About Factorial Sums, by Mihaly Bencze, Florentin Smarandache, Octogon International Mathematical Magazine, Vol 15, No. 2, 810-812, 2007.

Convergence of a Family of Series, by F. Smarandache, Licariri, No. 30, 1980.

Alternatives to Pearson's and Spearman's Correlation Coefficients, by Florentin Smarandache, arXiv:0805.0383; Bulletin of Statistics & Economics, Vol. 3, No. S09, 47-53, Spring 2009.

Structural Dynamics of Various Causes of Migration in Jaipur, by Jayant Singh, Hansraj Yadav, Florentin Smarandache, arXiv:0804.0919.

Super-Mathematics Functions, by Mircea Eugen Selariu (author), Marian Nitu (translator), Florentin Smarandache (translator and editor), in the album Techno-Art of Selariu SuperMathematics Functions, edited by F. Smarandache, A. R. Press, 132 p., 2007.

Unleashing the Vermin (Vectored Route-length Minimization), by  Florentin Smarandache, Sukanto Bhattacharya, New Mathematics and Natural Computing (World Scientific), Vol. 4, No. 3, 267-272, November 2008, arXiv:0802.1912

A Note on Testing of Hypothesis, by Rajesh Singh, Jayant Singh, Florentin Smarandache, arXiv:0801.0867

Inequalities for Integer and Fractional Parts, by Mihaly Bencze, Florentin Smarandache, Octogon Mathematical Magazine, Vol. 14, No. 1, 206-211, 2006.

About Very Perfect Numbers, by M. Bencze, F. Popovici, F. Smarandache, in Octogon Intern. Magazine, Vol. 5, No. 2, 53-54, 1997.

Neutrosophic Relational Data Model, by  Haibin Wang, Rajshekhar Sunderraman, Florentin Smarandache, Andre Rogatko, Critical Review (Society for Mathematics of Uncertainty, Creighton University), Vol. II, 19-35, 2008. 

A Generalization of A Leibniz Geometrical Theorem, by Mihaly Bencze, Florin Popovici, Florentin Smarandache, Octogon International Mathematical Magazine, Vol. 6, No. 1, 67-70, 1998.

Enrichment of Qualitative Beliefs for Reasoning under Uncertainty, by Xinde Li, Xinhan Huang, Florentin Smarandache, Jean Dezert, Proceedings of the 10th International Conference on Information Fusion (on CD), Québec City, Canada, 9-12 July 2007.

Qualitative Belief Conditioning Rules (QBCR), by Florentin Smarandache, Jean Dezert, Proceedings of Fusion 2007 International Conference, Quebec City, Canada, July 2007.

Applications of Wallis Theorem, by  Mihaly Bencze, Florentin Smarandache, Octogon International Magazine, Vol. 6, No. 2, 117-120, 1998.

Application of probabilistic PCR5 Fusion Rule for Multisensor Target Tracking, by Alois Kirchner, Frederic Dambreville, Francis Celeste, Jean Dezert, Florentin Smarandache, Proceedings of the 10th International Conference on Information Fusion (on CD), Quebec City, Canada, 9-12 July 2007.

About the Characteristic Function of a Set, by Mihaly Bencze, Florentin Smarandache, Octogon International Magazine, Vol. 6, No. 2, 86-96, 1998.

Six Conjectures which Generalize or Are Related to Andrica's Conjecture, by Florentin Smarandache, Octogon International Magazine, Vol. 7, No. 1, 173-176, 1999.

Conjectures on Partitions of Integers as Summations of Primes, by Florentin Smarandache, Published in author's book "Collected Papers", Vol. II, Moldova State University Press at Kishinev, p. 190, 1997.

Immediate Calculation of some Poisson Type Integrals Using Supermathematics Circular Ex-Centric Functions, by Florentin Smarandache, Mircea Eugen Selariu, arXiv:0706.4238.

Smarandache Type Function Obtained by Duality, by C. Dumitrescu, N. Virlan, St. Zamfir, E. Radescu, N. Radescu, F.Smarandache, Studii si Cercetari Stiintifice, Seria: Matematica, University of Bacau, No. 9, 49-72, 1999.

Subjective Questions and Answers for a Mathematics Instructor of Higher Education, by Florentin Smarandache, in author's book "Collected Papers", Vol. II, 32-48, Moldova State University Press at Kishinev, 1997.

On Two of Erdös's Open Problems, by Florentin Smarandache, Gamma, XXV, Year VIII, No. 3, p. 5, 1986.

On Solving General Linear Equations in the Set of Natural Numbers, by Florentin Smarandache, In author's book Generalistions et Generalites, Ed. Nouvelle, Fes, Morocco, 36-38, 1984.

Existence and Number of Solutions of Diophantine Quadratic Equations with Two Unknowns in $Z$ and $N$, by Florentin Smarandache, in the book "Generalisations et Generalites", by F. Smarandache, Ed. Nouvelle, Fes, Marocco, 39-40, 1984.

On Carmichael's Conjecture, by Florentin Smarandache, Gamma, Year VIII, 13-14, 2/XXIV & 4-5, 3/XXV, 1986.

On Diophantine Equation $x^2 = 2y^4-1$, by Florentin Smarandache,Gamma, Year IX, No. 1, p. 12, 1986.

Criteria of Primality, by Florentin Smarandache, Gazeta Matematica, Year XXXVI, No. 2, 49-52, 1981.

Redesigning Decision Matrix Method with an indeterminacy-based inference process, by Jose L. Salmeron, Florentin Smarandache, Advances in Fuzzy Sets and Systems, Vol. 1(2), 263-271, 2006.

Bases of Solutions for Linear Congruences, by Florentin Smarandache,Bulletin of the University of Brasov, Series C, Vol. XXII, 25-31, 1980.

Algorithms for Solving Linear Congruences and Systems of Linear Congruences, by Florentin Smarandache,Gamma, Year X, Nos. 1-2, 1987.

Linguistic-Mathematical Statistics in Rebus, Lyrics, Juridical Texts, Fancies and Paradoxes, by Florentin Smarandache, Linguistique Theorique et Appliquee, Bucharest, Tome XX, 1983, 67-76, Romanian Academy; and other parts of this paper published in various journals.

Uniform and Partially Uniform Redistribution Rules, by Florentin Smarandache, Jean Dezert, Advances and Applications of DSmT for Plausible and Paradoxical Reasoning for Information Fusion, International Workshop organized by the Bulgarian IST Centre of Competence in 21st Century, December 14, 2006, Bulg. Acad. of

 Sciences, Sofia, Bulgaria.

A General Family of Estimators for Estimating Population Mean Using Known Value of Some Population Parameter(s), by M. Khoshnevisan, Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, Florentin Smarandache, Far East Journal of Theoretical Statistics, Vol. 22, No. 2, pp. 181-191, 2007.

Deducibility Theorems in Boolean Logic, by Florentin Smarandache, Analele Univ. Timisoara, Seria St. Matematice, Vol. XVII, Fasc. 2, pp. 164-168,1979.

K-Nomial Coefficients, by Florentin Smarandache, in Generalisations et Generalites, by F. Smarandache, Ed. Nouvelle, Fes, 24-26, 1984.

A Class of Recursive Sets, by Florentin Smarandache,in Generalisations et Generalites, by F. Smarandache, Ed. Nouvelle, Fes, 27-32, 1984.

A Self-Recurrence Method for Generalizing Known Scientific Results, by  Florentin Smarandache, in Generalisations et Generalites, by F. Smarandache, Ed. Nouvelle, Fes, 3, 5-8, 1984.

A Neutrosophic Description Logic, by Haibin Wang, Andre Rogatko, Florentin Smarandache, Rajshekhar Sunderraman,Proceedings of 2006 IEEE International Conference on Granular Computing, edited by Yan-Qing Zhang and Tsau Young Lin, Georgia State University, Atlanta, 305-308, 2006.

Generalizations of Ceva's Theorem and Applications, by Florentin Smarandache, in author's book "Generalisations et Generalites", 15-20, Ed. Nouvelle, Fes, Morocco, 1984.

A Generalization of Euler's Theorem on Congruencies, by Florentin Smarandache,Bulet. Univ. Brasov, Series C, Vol. XXIII, 7-12, 1981.

A Generalization in Space of Jung's Theorem, by Florentin Smarandache, Gazeta Matematica, Bucharest, Nos. 9-10-11-12, p. 352, 1992.

DSmT: A new paradigm shift for information fusion, by Jean Dezert, Florentin Smarandache, Presented to Cogis06 International Conference, Paris, France, 2006, arXiv:cs/0610175v1.

A Method to Solve the Diophantine Equation $ax^2-by^2+c=0$, by Florentin Smarandache,Gaceta Matematica, Madrid, 2a Serie, Vol. 1, No. 2, 1988, pp. 151-157; translated into Spanish by Francisco Bellot Rosado, "Un metodo de resolucion de la ecuacion diofantica".

An Introduction to the DSm Theory for the Combination of Paradoxical, Uncertain, and Imprecise Sources of Information, by Florentin Smarandache, Jean Dezert, Presented at 13th International Congress of Cybernetics and Systems, Maribor, Slovenia, July 6-10, 2005; (updated version in March 2009).

Fusion of qualitative beliefs using DSmT, by Florentin Smarandache, Jean Dezert, Presented as an extended version (Tutorial MO2) to the Fusion 2006 International Conference, Florence, Italy, July 10-13, 2006.

Target Type Tracking with PCR5 and Dempster's rules: A Comparative Analysis, by Jean Dezert, Albena Tchamova, Florentin Smarandache, Pavlina Konstantinova, Proceedings of Fusion 2006 International Conference, Florence, Italy, July 2006.

Belief Conditioning Rules (BCRs), by Florentin Smarandache, Jean Dezert, arXiv:cs/0607005v2.

A Triple Inequality with Series and Improper Integrals, by Florentin Smarandache, Bull. Pure & Appl. Sciences, Vol. 25E, No. 1, 215-217, 2006.

Adaptive combination rule and proportional conflict redistribution rule for information fusion, by M. C. Florea, J. Dezert, P. Valin, F. Smarandache, Anne-Laure Jousselme, Presented at Cogis '06 Conference, Paris, March 2006.

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

Conditional probability of actually detecting a financial fraud - a neutrosophic extension to Benford's law, by Sukanto Bhattacharya, Kuldeep Kumar, Florentin Smarandache, International Journal of Applied Mathematics, Vol. 17, No 1, 7-14, 2005.

Statistical modeling of primary Ewing tumours of the bone, by Sreepurna Malakar, Florentin Smarandache, Sukanto Bhattacharya, International Journal of Tomography & Statistics, Vol. 3, No. JJ05, 81-88, 2005.

The Combination of Paradoxical, Uncertain, and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy 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 21-26, 2005.

An In-Depth Look at Information Fusion Rules & the Unification of Fusion Theories, by Florentin Smarandache, Presented at NASA Langley Research Center (Hampton, Virginia), on November 5th, 2004.

The Generalized Pignistic Transformation, by Jean Dezert, Florentin Smarandache, Milan Daniel, Proceedings of the Seventh International Conference on Information Fusion, International Society for Information Fusion, Stockholm, Sweden, 384-391, 2004.

Proportional Conflict Redistribution Rules for Information Fusion, by Florentin Smarandache, Jean Dezert, in arXiv:cs/0408064, and in Proceedings of the 8th International Conference on Information Fusion, Philadelphia, 25-29 July, 2005.

An Algorithm for Quasi-Associative and Quasi-Markovian Rules of Combination in Information Fusion, by Florentin Smarandache, Jean Dezert, International Journal of Applied Mathematics & Statistics, Vol. 22, No. S11 (Special Issue on Soft Computing), 33-42, 2011.

A Simple Proportional Conflict Redistribution Rule, by Florentin Smarandache, Jean Dezert, International Journal of Applied Mathematics and Statistics, Vol. 3, No. J05, 1-36, 2005.

A Method of Solving a Diophantine Equation of Second Degree with N Variables, by Florentin Smarandache, in Gaceta Matematica, Madrid, 2a Serie, Volumen 1, Numero 2, 1988, 151-157; translated to Spanish by Francisco Bellot Rosado as <Un metodo de resolucion de la ecuacion diofantica $ax^2 - by^2 + c = 0$>.

A Function in the Number Theory, by Florentin Smarandache, An. Univ. Timisoara, Seria St. Matematice, Vol. XVIII, Fasc. 1, 79-88, 1980.

A General Theorem for the Characterization of N Prime Numbers Simultaneously, by Florentin Smarandache, Libertas Mathematica, University of Texas at Arlington, Vol. XI, 151-155, 1991.

A Function in the Congruence Theory, by Florentin Smarandache, Libertas Mathematica, University of Texas at Arlington, Vol. XII, 181-185, 1992.

Neutrosophic Set - A Generalization of the Intuitionistic Fuzzy Set, by Florentin Smarandache, Proceedings of 2006 IEEE International Conference on Granular Computing, Georgia State University, Atlanta, 38-42, 2006. Presented at Univ. Berkeley in Dec. 2003.

On the Tweety Penguin Triangle Problem, by Jean Dezert, Florentin Smarandache, arXiv:math/0404432v3.

Infinite classes of counter-examples to the Dempster's rule of combination, by Jean Dezert, Florentin Smarandache, arXiv:math/0404371v1.

Combining Uncertain and Paradoxical Evidences for DSm Hybrid Models, by Jean, Florentin Smarandache, Presented as an extended version to the Sensor Fusion Europe Conference, Post-Conference Workshop, Marcus Evans Co., November 4th, 2005, Barcelona, Spain.

On the Generation of Hyper-power sets for the DSmT, by Jean Dezert, Florentin Smarandache, Proceedings of the Sixth International Conference on Information Fusion, International Society for Information Fusion, Cairns, Queensland, Australia, 1118-1125, 8-11 July 2003.

Partial Ordering of Hyper-powersets and Matrix Representation of Belief Functions within DSmT, by Jean Dezert, Florentin Smarandache, Proceedings of the Sixth International Conference on Information Fusion, International Society for Information Fusion, Cairns, Queensland, Australia, 1230-1238, 8-11 July 2003.

On the Blackman's Association Problem, by Jean Dezert, Florentin Smarandache, Albena Tchamova, Proceedings of the Sixth International Conference on Information Fusion, International Society for Information Fusion, Cairns, Queensland, Australia, 1371-1378, 8-11 July 2003.

Empirical Study in Finite Correlation Coefficient in Two Phase Estimation, by M. Khoshnevisan, F. Kaymarm, H. P. Singh, Rajesh Singh, Florentin Smarandache, International Journal of Social Economics, Vol. 31, No. 10, 890-902, 2004.

Econometric Analysis on Efficiency of Estimator, by M. Khoshnevisan, F. Kaymram, Housila P. Singh, Rajesh Singh, Florentin Smarandache, Libertas Mathematica, University of Texas at Arlington, Vol. XXIII, 183-194, 2003.

Neutrosophic Logic - Generalization of the Intuitionistic Fuzzy Logic, by Florentin Smarandache, Proceedings of the Third Conference of the European Society for Fuzzy Logic and Technology, 10-12 September 2003, University of Applied Sciences, Zittau/Gorlitz, Germany, 141-146, EUSFLAT 2003.

Optimal Plant Layout Design for Process-focused Systems, by M. Khoshnevisan, S. Bhattacharya, F. Smarandache, International Journal of Tomography & Statistics, Vol. 3, No. JJ05, 19-29, 2005.

Definitions Derived from Neutrosophics, by Florentin Smarandache, Multiple-Valued Logic / An International Journal, Vol. 8, No. 5-6, 591-604, 2002.

Utility of Choice: An Information Theoretic Approach to Investment Decision-making, by M. Khoshnevisan, Sukanto Bhattacharya, Florentin Smarandache, Studii si Cercetari Stiintifice, Series: Mathematics, University of Bacau, No. 13, 31-48, 2003.

A Proposed Artificial Neural Network Classifier to Identify Tumor Metastases, by M. Khoshnevisan, Sukanto Bhattacharya, Florentin Smarandache, arXiv:math/0212122v1.

Logic: A Misleading Concept. A Contradiction Study toward Agent's Logic, by Feng Liu, Florentin Smarandache, Proceedings of the First International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico, Gallup, 2001.

Computational Exploration of Investor Utilities Underlying a Portfolio Insurance Strategy, by M. Khoshnevisan, Florentin Smarandache, Sukanto Bhattacharya, Studii si Cercetari Stiintifice, Series: Mathematics, University of Bacau, No. 14, 179-200, 2004.

A Family of Estimators of Population Mean Using Multiauxiliary Information in Presence of Measurement Errors, by Jack Allen, Housila P. Singh, Florentin Smarandache, International Journal of Social Economics, 837-849, Vol. 30, No. 7, 2003.

Fuzziness and Funds Allocation in Portfolio Optimization, by Jack Allen, Sukanto Bhattacharya, Florentin Smarandache, International Journal of Social Economics, California State University at Fresno, Vol. 30, Nos. 5-6, 619-632, 2003.

A General Class of Estimators of Population Median Using Two Auxiliary Variables in Double Sampling, by Jack Allen, Housila P. Singh, Sarjinder Singh, Florentin Smarandache, InterStat - Statistics on the Internet,Virginia Polytechnic Institute and State University, Blacksburg, USA, #2, March 2002.

Estimation of Weibull Shape Parameter by Shrinkage Towards an Interval Under Failure Censored Sampling, by Housila P. Singh, Sharad Saxena, Jack Allen, Sarjinder Singh, Florentin Smarandache, arXiv:math/0202274v1.

Intentionally and Unintentionally. On Both, A and Non-A, in Neutrosophy, by Feng Liu, Florentin Smarandache, Presented to the First International Conference on Neutrosophy, Neutrosophic Logic, Set, and Probability, University of New Mexico, Gallup, December 1-3, 2001.

A Generalized Numeration Base, by Florentin Smarandache, arXiv:math/0010158v1.

Considerations on New Functions in Number Theory, by Florentin Smarandache, Partially included in author's book "Noi Functii in Teoria Numerelor", University of Kishinev Press, 120 p., 1999.

G Add-On, Digital, Sieve, General Periodical, and Non-Arithmetic Sequences, by  Florentin Smarandache, arXiv:math/0010151v1.

Thirty-Six Unsolved Problems in Number Theory, by Florentin Smarandache, in author's book "Only Problems, Not Solutions!", Xiquan Publ. Hse., Phoenix, 1991.

Another Set of Sequences, Sub-Sequences, and Sequences of Sequences, by Florentin Smarandache, Partially published in author's book "Only Problems, Not Solutions!", Xiquan Publ. Hse., Phoenix, 1991.

Funny Problems!, by Florentin Smarandache, Humanistic Mathematics Network Journal, Harvey Mudd College, Claremont, CA, USA, Issue # 24, 50-51, 2001.

Numerology, by Florentin Smarandache, arXiv:math/0010132v1.

N-norm and N-conorm in Neutrosophic Logic and Set, and the Neutrosophic Topologies, by F. Smarandache, in author's Neutrosophic book (2005).

Neutrosophic Transdisciplinarity, by F. Smarandache, 1969.

Linguistic Paradoxes and Tautologies, by Florentin Smarandache, Libertas Mathematica, University of Texas at Arlington, Vol. XIX, 143-154, 1999.

Mixed Non-Euclidean Geometries, by Florentin Smarandache, Studii si Cercetari Stiintifice, University of Bacau, Nr. 8, 127-154, 1998.

Special Algebraic Structures, by Florentin Smarandache, in author's book Collected Papers, Vol. III, Abaddaba, Oradea, 2000.

On Rugina's System of Thought, by Florentin Smarandache, International Journal of Social Economics, Vol. 28, No. 8, 623-647, 2001.

Neutrosphic Research Method, by F. Smarandache.

 Improvement of Fechner and Weber's Laws on Sensations and Stimuli, by F. Smarandache, 1998.

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