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...i, prin care uneste organic elemente heterogene din domeniile cunoa Õterii, Florentin Smarandache ne propune acum o specie nou | de poezie: disti... ...re uneste organic elemente heterogene din domeniile cunoa Õterii, Florentin Smarandache ne propune acum o specie nou | de poezie: distihul parado... ... 8 500 lei FLORENTIN SMARANDACHE DISTIHURI PARADOXISTE Celui... ... 8 500 lei FLORENTIN SMARANDACHE DISTIHURI PARADOXISTE Celui mai bun p... ...i-s-t-e clasice, colectate Õi prelucrate în perioada 1993-1998. Prof. Florentin Smarandache University of New Mexico 200 College Road Gallu... ...e", <Bulletin of Pure and Applied Sciences>, Delhi, India, Vol. 15E (Maths & Statistics), No. 1, 81-100, January-June 1996. [6] Le, Charles T., "... ...1, 53-55, 1996. [7] Le, Charles T., "The Smarandache Class of Paradoxes / (mathematical poem)", <Henry C. Bunner / An Anthology in Memoriam>, Bris... ...pplied in Computer Sciences", <Abstracts of Papers Presented to the American Mathematical Society>, New Jersey, USA, Vol. 16, No. 3, 651, Issue 101, ... ...andache Paradoxist Geometry", <Abstracts of Papers Presented to the American Mathematical Society>, New Providence, RI, USA, Vol. 17, No. 1, Issue 10...

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...As an alternative to the existing logics we propose the Neutrosophic Logic to represent a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined, unknown, incompleteness, inconsistency, redundancy, contradiction. It is a non-classical logic. Eksioglu (1999) explains some of them: “Imprecis...

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...utrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics University of New Mexi... ...allup 1-3 December 2001 (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIO... ...ROSOPHY, NEUTROSOPHIC LOGIC, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS Xiquan (... ...ernational Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics December 1-3, 2001 University of New Mexico Cont... ...co Contributed papers were sent, by November 30, 2001, to the organizer: Florentin Smarandache, University of New Mexico, 200 College Road, Ga... ...ophic Logic, Neutrosophic Set, and Neutrosophic Probability and Statistics) Florentin Smarandache Department of Mathematics University of New Me... ...veloped the non-standard analysis, a formalization of analysis and a branch of mathematical logic, that rigorously defines the infinitesimals. Infor... ...native to the existing logics we propose the Neutrosophic Logic to represent a mathematical model of uncertainty, vagueness, ambiguity, imprecision, ... ... P., Upper and Lower Probabilities Induced by a Multivalued Mapping, Annals of Mathematical Statistics, 38, 325-339, 1967. [8] Dezert, J., Autonomo...

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...nitive maps invented by Kosko and neutrosophic cognitive maps introduced by us help in the analysis of such real world problems and they happen to be mathematical tools which can give the hidden pattern of the problem under investigation. This book, in order to generalize the two models, has systematically invented mathematical tools like bimatrices, trimatrices, n-matric...

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...0036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mex... ..., Alaska, USA. Copyright 2005 by Hexis, W. B. Vasantha Kandasamy, Florentin Smarandache and K.Ilanthenral Layout by Kama Kandas... ... by us help in the analysis of such real world problems and they happen to be mathematical tools which can give the hidden pattern of the problem un... ...This book, in order to generalize the two models, has systematically invented mathematical tools like bimatrices, trimatrices, n-matrices, bigraphs,... ...rt Kosko, the father of Fuzzy Cognitive Maps. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K.ILANTHENRAL 7 Chapter One ... ...t will be easy for an expert to work with. He need not be a person with good mathematical background. For an expert may be a doctor or a lay man wh... ...utrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, Florentin Smarandache editor, Xiquan, Phoenix, ISBN: 1-931... ...nal Conference on Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics, Univ. of New Mexico – Gallup, 2001. http://www.gallup.un... ...phy, Neutrosophic Logic, Neutrosophic Set, 255 Neutrosophic Probability and Statistics, University of New Mexico, Gallup, 1-3 December 2001. htt...

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...ned for graduate students and researchers who are active in the area of estimation and data sampling applied in financial survey modeling and applied statistics. In our future research, we will address the computational aspects of the algorithms developed in this book....

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... M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache RANDOMNESS AND OPTIMAL ESTIMATION IN DATA SAMPLI... ...RE Cut-off Point 2 M. Khoshnevisan, S. Saxena, H. P. Singh, S. Singh, F. Smarandache RANDOMNESS AND OPTIMAL ESTIMATION IN DATA SAMPLI... ... and Finance, Qld., Australia. Dr. Housila P. Singh and S. Saxena, School of Statistics, Vikram University, UJJAIN, 456010, India. Dr. Sarjinder ... ...ity, UJJAIN, 456010, India. Dr. Sarjinder Singh Department of Mathematics and statistics.University of Saskatchewan, Canada. Dr. Florentin. Smaran... ...artment of Mathematics and statistics.University of Saskatchewan, Canada. Dr. Florentin. Smarandache, Department of Mathematics, UNM, USA. ... ...or publication by: Dr. V. Seleacu, Department of Mathematics / Probability and Statistics, University of Craiova, Romania; Dr. Sabin Tabirca, Unive... ...a P. Singh 1 , Sharad Saxena 1 , Mohammad Khoshnevisan 2 , Sarjinder Singh 3 , Florentin Smarandache 4 1 School of Studies in Statistics, Vikram ... ...aper on Stein-type estimators), Proceedings of the 4 th Berkeley Symposium on Mathematical Statistics, Vol. 1, University of California Press, Berk... ...ling Mohammad Khoshnevisan 1 , Housila P. Singh 2 , Sarjinder Singh 3 , Florentin Smarandache 4 1 School of Accounting and Finance, Gri...

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...N 1-879585-76-6 American Research Press Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEU... ...eneralization of classical and imprecise probabilities - and Neutrosophic Statistics: 116 5. Addenda: Definitions derived from Neutrosophics: 120 ... ...script from the mathematician, experimental writer and innovative painter Florentin Smarandache, especially because the treated subject was of philo... ...logic”, “neutrosophic set”, “neutrosophic probability”, and “neutrosophic statistics” and thus opening new ways of research in four fields: philosop... ...f research in four fields: philosophy, logics, set theory, and probability/statistics. It was known to me his setting up in 1980’s of a new literary ... ...ables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The goal is to enlargement ... ...ed the non-standard analysis, a formalization of analysis and a branch of mathematical logic, which rigorously defines the infinitesimals. Informall... ...n's Paradox: Let M be a mathematician who may not be characterized by his mathematical work. a) To be a mathematician, M should have some mathematic... ...ork. 31 b) The reverse judgement: if M may not be characterized by his mathematical work, then M is not a mathematician. Divine Paradox (I): ...

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...is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ of Lund University (Sw... ... Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yaho... ...d of gravitational force, which provides two important advantages: (1) The mathematical apparatus of chronometric invariants (physical observable quan... ...d its specifc technical problems. 2 The new approach The basis here is the mathematical apparatus of chronometric invariants, created by Zelmanov in t... ... IN PHYSICS Volume 1 Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ... A New Form of Matter — Unmatter, Composed of Particles and Anti-Particles Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ...and their spectrum have been studied by [104] that may require generalized Statistics beyond the Boltzmann-Gibbs, Bose-Einstein and Fermi-Dirac, inves... ...ractal von Neumann entropy. arXiv: cond- mat/0201489. Fractons and fractal statistics. arXiv: hep- th/9905229. 104. Castro C. Chaos, Solitons and Frac... ...zeta function. Birkhauser, New York, 2000. 105. Castro C. The nonextensive statistics of fractal strings and branes. To appear in Physica A. Havrda J....

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... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC... ...600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New M... ...Mysore, Karnataka, India. Copyright 2004 by W. B. Vasantha Kandasamy and Florentin Smarandache Layout by Kama Kandasamy. Cover design by... ...their properties It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from X to Y, binary re... ...ominated criterion vectors is called the non-dominated set. In the absence of a mathematical specification of the decision maker’s utility function,... ...ity to determine outputs for a given set of inputs without using conventional, mathematical models. FLC follows the general strategy of control wor... ...eutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics, third edition, Xiquan, Phoenix, 2003. [222] 89. Smaran... ...Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico, Gallup, 1-3 December 2001. [22... ...eutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, The University of New Mexico, Gallup Campus, 1-3 Decembe...

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...to applications. With the recent introduction of bimatrices (2005) we have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these algebraic structures....

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...6, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico... ...e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, ... ...sore, Karnataka, India. Copyright 2005 by W. B. Vasantha Kandasamy, Florentin Smarandache and K. Ilanthenral Layout by Kama Kandasamy. ... ...ent in every manner made this book possible. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K. ILANTHENRAL 7 Chapter One I... ...omic models. 1.3.1 Smarandache Markov chains Suppose a physical or a mathematical system is such that at any moment it can occupy one of a fin... ...ers of a set introduced, we have studied the theory of directed graphs to mathematically model the types of sets and relation. On similar lines we ... ... and relation. On similar lines we can introduce the directed bigraphs to mathematically model the types of sets and relation. Example 3.5.1: The... ...sophy, Neutrosophic Logic, Neutrosophic set, Neutrosophic probability and Statistics, December 1-3, 2001 held at the University of New Mexico, pub... ... theory, non-Euclidean geometry, synthetic geometry, algebraic structures, statistics, and multiple valued logic (fuzzy logic and fuzzy set, neutros...

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...Thanks to Dr. Smarandache for his interest in Chinese culture. I cannot decline his warm request to write the preface, even with my fragments of knowledge – no insight nor wisdom, and therefore can be misleading. I have been extremely regr...

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...ownloaded from the following Digital Library: http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm Peer Reviewers: Dr. M. Khoshn... ... a mathematician, and it is very promising that he sometimes leans toward mathematical formula. On the other hand, as a seedling, neutrosophy is ope... ...o idea what to study) Unlike many scientists who are anxious to construct mathematical models of cognition, I discovered the infancy of mathematics,... ...ematicians (ICM2002 Beijing). Western cognitive science seems to focus on mathematical models rather than the depth of philosophy. (As a consequence... ..., also by Octogon, Brasov, Romania, Vol. 10, No. 1, pp. 194-203. F. Liu, Florentin Smarandache: “Logic: a Misleading Concept － A Contradiction Study... ...ook series, Vol. 13), American Research Press 2002 (ISBN 1-931233-56-X). Florentin Smarandache, A Unifying Field in Logics: Neutrosophic Logic: Neut... ... in the Chinese Translation of Neutrosophics Liu Feng (bold sentences) Florentin Smarandache (regular sentences) Does Dr. Smarandache’s emigr... ...d to plant, not the fruit to reap. FS: The Neutrosophic Probability and Statistics could be this in the future. F. Liu wrote somewhere that, “Th... ...trosophic logic, neutrosophic set, neutrosophic probability, neutrosophic statistics are welcome, and they will be published in a collective volume. ...

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.... vector spaces) form an inseparable component of each other. The study of bialgebraic structures led to the invention of new notions like birings, Smarandache birings, bivector spaces, linear bialgebra, bigroupoids, bisemigroups, etc. But most of these are abstract algebraic concepts except, the bisemigroup being used in the construction of biautomatons. So we felt it...

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...36, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexic... ... e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup,... ...ity, Atlanta, GA 30302, USA Copyright 2005 by W. B. Vasantha Kandasamy, Florentin Smarandache and K. Ilanthenral Layout by Kama Kandasamy.... ...ta, GA 30302, USA Copyright 2005 by W. B. Vasantha Kandasamy, Florentin Smarandache and K. Ilanthenral Layout by Kama Kandasamy. Cover de... ... and Kama Kandasamy for formatting this book. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K. ILANTHENRAL 7 Chapter One BIMATRI... ...16. JACOBSON, N., Structure of Rings, Colloquium Publications, 37, American Mathematical Society, 1956. 17. JOHNSON, T., New spectral theorem for v... ...osophy, Neutrosophic Logic, Neutrosophic set, Neutrosophic probability and Statistics, December 1-3, 2001 held at the University of New Mexico, pu... ...r theory, non-Euclidean geometry, synthetic geometry, algebraic structures, statistics, and multiple valued logic (fuzzy logic and fuzzy set, neutro... ...bility). He contributed with proposed problems and solutions to the Student Mathematical Competitions. His latest interest is in information fusion ...

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...ivity, Gravitation, and Cosmology................6 S-Denying of the Signature Conditions Expands General Relativity’s Space, by Dmitri Rabounski, Florentin Smarandache, Larissa Borissova, Progress in Physics, 13-19, Vol. 3, 2006.......7 Positive, Neutral, and Negative Mass-Charges in General Relativity, by Larissa Borissova and Florentin Smarandache, Progress in Phy...

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.......................................6 ASTRONOMY..................................14 1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15 2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28 3. Open and Solved Elementary Questions in A...

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.......................................6 ASTRONOMY..................................14 1. First Lunar Space Base, project proposal, by V. Christianto, Florentin Smarandache..15 2. On Recent Discovery of New Planetoids in the Solar System and Quantization of Celestial System, by V. Christianto, F. Smarandache..................28 3. Open and Solved Elementary Questions in A...

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...cţie [“Ţara şi Exilul”, Madrid] (Istanbul, 28.10.1988)…………71 14. Dragă Victoraş [Moraru, Bucureşti] (Istanbul, 28.10.1988)…………73 15. Dear Sirs [The Mathematical Association of America] (Istanbul, 31.10.1988)…………75 16. Dear Dr. Tandberg (Istanbul, 04.11.1988)…………77 17. Dear Mrs. Ponamarenko (Istanbul, 05.11.1988)…………78 18. Stimate D-le Grosswald (Istanbul, 05.11.1988)…...

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...TUDE AND AWARENESS ABOUT HIV/AIDS 4.1 Introduction 77 4.2 Interviews 81 Chapter Five CONCLUSIONS 167 Appendix 1. Questionnaire 177 2. Table of Statistics 191 3. C-program for CETD and RTD Matrix 198 4. C-program for FRM 202 5. C-program for CFRM 207 6. C-program for BAM 212 FURTHER READING 215 INDEX 232 ABOUT THE AUTHORS 235...

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...36, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mex... ...Sciences, Sofia, Bulgaria. Copyright 2005 by W. B. Vasantha Kandasamy and Florentin Smarandache Layout by Kama Kandasamy. Cover design by ... ....2 Suggestions given by the HIV/AIDS patients 239 6.3 Conclusions from our mathematical analysis 241 APPENDIX 1. Linguistic Questionnair... ...l analysis 241 APPENDIX 1. Linguistic Questionnaire 255 2. Table of Statistics 279 3. Neutrosophy 285 REFERENCES 290 INDEX 312 ... ...he verbatim opinion of the expert. The final chapter is based not only on our mathematical analysis but also on the interviews, views of experts and... ...e world who are bravely battling the AIDS epidemic. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE 7 Chapter One INTRODUCTION ... ...V/AIDS only through their infected husbands so it is pertinent to use only a mathematical model, which is interdependent. So we choose to use Fuzzy... ... get HIV/AIDS. She says she does not know how the disease spreads. She gives statistics that out of her husband’s 5 friends only one is dead. Now... ...e in God after getting AIDS? : 279 APPENDIX TWO TABLE OF STATISTICS No Age Age at Marriage Education Infected by ...

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...Migration acquires great significance in the study of peoples and populations, for it not only involves the merely mathematical spatial redistribution of people, but also because it has enormous impact on livelihood, life-styles, employment, socioeconomic and political stability; or in other words, it influences the entire society. When u...

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...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE ANALYSIS OF SOCIAL ASPECTS OF MIGRANT LABOURERS... ..., India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico ... ...ad, Andhra Pradesh, India Copyright 2004 by W. B. Vasantha Kandasamy, Florentin Smarandache, and Xiquan, 510 E. Townley Ave., Phoenix, AZ 85020 ... ...uggestions 377 Appendix 1. Linguistic Questionnaire 403 2. Table of Statistics 427 3. C-program for RTD and CETD Matrix 430 4. C-program fo... ...c logic grew as an alternative to the existing topics and it represents a mathematical model of uncertainty, vagueness, ambiguity, imprecision, unde... ...oor uneducated labourers from rural Tamil Nadu. This book is an extended mathematical analysis of the book Love.Life.Lust.Loss: 101 Real Life Stori... ...the study of peoples and populations, for it not only involves the merely mathematical spatial redistribution of people, but also because it has eno... ...nclusions true for the urban rich people of Tamil Nadu, for even a proper statistics of how many urban people suffer with HIV/AIDS cannot be got by ... ...future generations are sensitized about the AIDS disease. The most recent statistics about the AIDS epidemic shows that half of all the new HIV inf...

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...origin, nature and scope of neutralities, as well as their interactions with different ideational spectra. This was introduced by one of the authors, Florentin Smarandache. A few of the mentionable characteristics of this mode of thinking are [90-94]: It proposes new philosophical theses, principles, laws, methods, formulas and movements; it reveals that the world is full ...

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...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY COGNITIVE MAPS AND NEUTROSOPHIC COGNITIV... ...ology, Madras Chennai – 600036, India E-mail: vasantha@iitm.ac.in Florentin Smarandache Department of Mathematics University of New Mexico ... ...ersity, Australia. Copyright 2003 by W. B. Vasantha Kandasamy, Florentin Smarandache, and Xiquan, 510 E. Townley Ave., Phoenix, AZ 85020,... ...c logic grew as an alternative to the existing logics and it represents a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undef... ...eural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Prof. Bart Kosko, the guru... ...ct us almost as much as the determined factors. It is a major handicap in mathematical modeling that we are only able to give weightages for known c... ...sophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, Florentin Smarandache editor, Xiquan, Phoenix, ISBN: 1-931233-... ...Conference on Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics, Univ. of New Mexico – Gallup, 2001. http://www.gallup.unm.edu... ...sophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico, Gallup, 1-3 December 2001. http://ww...

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...36, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexic... ...re, Karnataka, India. Copyright 2004 by W. B. Vasantha Kandasamy and Florentin Smarandache Layout by Kama Kandasamy. Cover design by Mee... ...standing of Periyar's ideology and approach. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE 7 Chapter One Introduction to So... ...s degree 1 or 4. Jordan in 1869 independently discovered trees as a purely mathematical discipline and Sylvester 1882 wrote that Jordan did so with... ...e reader. 3.8 Neutrosophic Models versus Fuzzy models We know in all mathematical analysis of the unsupervised data, not only uncertainty is ... ...s predominant but also the concept of indeterminacy is in abundance. But in mathematical logic no one used the concept of indeterminacy till the yea... ...rosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, Florentin Smarandache editor, Xiquan, Phoenix, ISBN: 1-93123... ...rosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics, third edition, Xiquan, Phoenix, 2003. 54. Smarandache, F... ...osophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico, Gallup, 1-3 December 2001 55. Sty...

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... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC... ...600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New M... ...Mysore, Karnataka, India. Copyright 2004 by W. B. Vasantha Kandasamy and Florentin Smarandache Layout by Kama Kandasamy. Cover design by... ...their properties It is well known fact that binary relations are generalized mathematical functions. Contrary to functions from X to Y, binary re... ...ominated criterion vectors is called the non-dominated set. In the absence of a mathematical specification of the decision maker’s utility function,... ...ity to determine outputs for a given set of inputs without using conventional, mathematical models. FLC follows the general strategy of control wor... ...eutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics, third edition, Xiquan, Phoenix, 2003. [222] 89. Smaran... ...Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, University of New Mexico, Gallup, 1-3 December 2001. [22... ...eutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, The University of New Mexico, Gallup Campus, 1-3 Decembe...

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...a Kandasamy e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache e-mail: smarand@unm.edu K. Kandasamy e-... ...Karnataka, India Copyright 2005 by Hexis, W. B. Vasantha Kandasamy, Florentin Smarandache and K. Kandasamy Cover Design and Lay... ... India. The fourth and concluding chapter gives observations drawn from our mathematical results based on the Fuzzy and Neutrosophic analysis. A... ... A study of this kind is being carried out for the first time. We have used mathematical tools to study this sociological problem because we wante... ...to working for the rights of the subjugated people. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K.KANDASAMY 26-11-2005 9 Chapter On... ... of the NRM model we will proceed on to describe the concepts of it in a more mathematical way. DESCRIPTION OF A NRM: Neutrosophic Cognitive Ma... ...boos. 45 R 3 : Faith in a particular religious sect If anyone takes a statistics of the number of people converting to Christianity, Buddhis... ...esomely displayed in caste riots and atrocities. According to a ten-year-old statistics from the Government of India: “On an average day, two Dalit... ...s and writings of Periyar that deal with this opinion on Untouchability. Some statistics of the atrocities against Dalits are given in the third and...