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...Matrix theory has been one of the most utilised concepts in fuzzy models and neutrosophic models. From solving equations to characterising linear transformations or linear operators, matrices are used. Matrices find their applicat...

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... an advanced tool which can handle over one linear model at a time. Bimatrices will be useful when time bound comparisons are needed in the analysis of the model....

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... INTRODUCTION TO BIMATRICES W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036,... ... e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup,... ...c.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-mail: ... ...ACES AND THEIR PROPERTIES 2.1 Introduction to Bivector Spaces 79 2.2. Systems of linear biequations 87 2.3 Bitransformation in bivector space... ... INDEX 175 ABOUT THE AUTHORS 181 5 Preface Matrix theory has been one of the most utilised concepts in fuzzy models and ne... ...eral real models. In fact it is not an exaggeration if one says that matrix theory and linear algebra (i.e. vector spaces) form an inseparable compo... ...way, for, in all our analysis we would not in general get a solution from a set we have started with. Only this incompleteness led to the invention ... ... the notion of overlap bimatrices. Throughout this book Z will denote the set of integers both positive, negative with zero, R the reals, Q the se... ... properties in section one. In section two for the first time the notion of systems of linear biequations are introduced. Section three deals with b...

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...It was known to me his setting up in 1980’s of a new literary and artistic avant-garde movement that he called “paradoxism”, because I received some books and papers dealing with it in order to review them for the German journal “Zentralblatt fár Mathematik”. It was an...

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...Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive used of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations....

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...A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY. (third edition) NL(A 1 I A 2 ) = ( T ... ...-76-6 American Research Press Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, ... ...A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY. (third edition) NL(A 1 I A 2 ) = ( T ... ...ace by Charles T. Le: 3 0. Introduction: 9 1. Neutrosophy - a new branch of philosophy: 13 2. Neutrosophic Logic - a unifying field in logics: 87 ... ...nifying field in sets: 112 4. Neutrosophic Probability - a generalization of classical and imprecise probabilities - and Neutrosophic Statistics: 11... ...thus opening new ways of research in four fields: philosophy, logics, set theory, and probability/statistics. It was known to me his setting up in 1... ...so, to experiment." 2.2. Etymology: Paradoxism = paradox+ism, means the theory and school of using paradoxes in literary, artistic, philosophical... ...lligence, neural networks, evolutionary programming, neutrosophic dynamic systems, and quantum mechanics. Especially in quantum theory there i... ...the uninterpretable; - regards, from many different angles, old concepts, systems: showing that an idea, which is true in a given referential system...

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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: “Imprecision of the human sy...

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... Florentin Smarandache editor Proceedings of the First International Conference on Neutrosophy, Neutrosophic L... ...rst International Conference on Neutrosophy, Neutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics ... ...phic Probability and Statistics University of New Mexico - Gallup 1-3 December 2001 (sec... ... 1-3 December 2001 (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIONAL CONFE... ...ST INTERNATIONAL CONFERENCE ON NEUTROSOPHY, NEUTROSOPHIC LOGIC, NEUTROSOPHIC SET, NEUTROSOPHIC PROBABILITY AND STATISTICS ... ...rets the uninterpretable; - regards, from many different angles, old concepts, systems: showing that an idea, which is true in a given referential s... ... and to make war in the peaceful ideas; - measures the stability of unstable systems, and instability of stable systems. Let's note by <A> an id... ... and instability of stable systems. Let's note by <A> an idea, or proposition, theory, event, concept, entity, by <Non-A> what is not <A>, and by <A... ... to measure the truth, indeterminacy, and falsehood. My hypothesis is that no theory is exempted from paradoxes, because of the language imprecisio...

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...Paradoxism is an avant-garde movement in literature, art, philosophy, science, based on excessive use of antitheses, antinomies, contradictions, parables, odds, paradoxes in creations. It was set up by the editor since 1980’s and promulgates a counter-time/ counter-sense creation. Paradoxism started as an anti-totalitarian pr...

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...ROM Râmnicu-Vâlcea, 2004 2 Coperta: Universul II, pictur ă de Florentin Smarandache, din cartea sa „Outer-Art”, vol. II, Editura „Conphys” Râm... ...nphys” Râmnicu-Vâlcea, 2002, p.50. Descrierea CIP a Bibliotecii Na ţionale SMARANDACHE, FLORENTIN FOURTH INTERNATIONAL ANTHOLOGY ON PARADOXISM/ F... ...rde movement in literature, art, philosophy, science, based on excessive use of antitheses, antinomies, contradictions, parables, odds, paradoxes in... ... antinomies, contradictions, parables, odds, paradoxes in creations. It was set up by the editor since 1980’s and promulgates a counter-time/ count... ...sm started as an anti-totalitarian protest against a closed society, Romania of 1980’s. Why was the movement based on contradictions? Because we li... ...vided by different sources (human expertise, sensor measurements, AI expert systems, neural network, quantum theory, economics predictions). One s... ...n expertise, sensor measurements, AI expert systems, neural network, quantum theory, economics predictions). One such theory, that permits the comb... ...e combination of paradoxist information, has been called Dezert-Smarandache Theory of Plausible and Paradoxical Reasoning for Data Fusion (2002). ... ...one around For sharing personal ground DEMOCRACY Allowing anarchy To be set right on its own 64 IGNORANCE Bliss If the gods bless ...

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...For most of the 20th century, both relativity and star travel fascinated this writer. The reasons Albert Einstein concluded there is an absolute barrier at the speed of light seemed at first clear, then later not so clear upon closer...

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...ceed one's grasp. Thus we reach for Alpha Centauri with a round-trip manned and womanned mission as the proposed overarching goal under a clear plan of exploration - a grand experiment described in later chapters. Whether or not we succeed in grasping the goal under this or under any plan is not as important as it is to set a definite plan and work towards its goal. The...

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...- Ch.7. The Phase One Experiment: The First Starship. 37 -- Ch.8. The Phase Two Experiment: Alpha Centauri or Bust!. 45 -- Ch.9. Voyage to the Center of the Galaxy. 50 -- Ch.10. An Hypothesis: There is no Speed Barrier in the Universe. 52 --...

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... How to Break the Light Barrier by A.D. 2070 Homer B. Tilton Florentin Smarandache 2 To the memory of Benjamin E. Tilton (1876-1955), a c... ...D. 2070 Homer B. Tilton Florentin Smarandache 2 To the memory of Benjamin E. Tilton (1876-1955), a close contemporary of Albert Einstein ... ... Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arb... ...ts take you. The premise of this book is that the effects of the special theory of relativity are a kinematical perspective rather than being real;... ...an infinite speed. The basis for the hypothesis lies in the entanglement theory of quantum mechanics and deals with the transfer of information ove... ...t and faith is often blurred. In this spirit we ask the reader to please set to one side any pre-knowledge concerning the light barrier while we e... ...ing the goal under this or under any plan is not as important as it is to set a definite plan and work towards its goal. The plan outlined here is i... ...5 paper by W. G. V. Rosser: 1. The laws by which the states of physical systems undergo change are not affected, whether these changes of state ... ...whether these changes of state be referred to the one or the other of two systems of coordinates in uniform translatory motion. 2. Any ray of ligh...

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... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATION... ...S AND NEUTROSOPHIC RELATIONAL MAPS W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600... ...tm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-ma... ...ol and fuzzy control based on FRE 108 4 1.19 A FRE in dynamic fuzzy systems 113 1.20 Solving FRE with a linear objective function 117... ... a characterization of t-norms for fuzzy sets 146 1.26 Solvability criteria for systems of FRE 156 1.27 Infinite FRE to a complete browerian lattice... ...S patients 211 Chapter Three SOME NEW AND BASIC DEFINITIONS ON NEUTROSOPHIC THEORY 3.1 Neutrosophic sets and neutrosophic logic 222 3.2 Fuzzy... ...veral new neutrosophic concepts starting from the notion of neutrosophic fuzzy set, neutrosophic fuzzy matrix, neutrosophic lattices, neutrosophic ... ...nalysis of Social Aspects of Migrant Labourers Living With HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps: With Specific Reference to R... ...f neural networks and genetic algorithm is used in solving problems. A complete set of references is given in the end of the book citing the names o...

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...Graphs and matrices play a vital role in the analysis and study of several of the real world problems which are based only on unsupervised data. The fuzzy and neutrosophic tools like fuzzy cognitive maps invented by Kosko and neutrosophic cognitive maps introduced by us help in the analy...

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...SOME FUZZY AND NEUTROSOPHIC MODELS W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 60003... ...a e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallu... ....ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-mail... ...E (G 1 ), 1 G I) ∪ (V (G 2 ), E (G 2 ), 2 G I ) where V i (G) is a nonempty set (i = 1, 2) and E i (G) is a set disjoint from V i (G) for i = 1,... ... u 2 is an edge in G such edges are called as biedges of the bigraph. The set of all bineighbours of u 2 in G 2 (u 1 in G 1 ) is the open bin... ...bigraph will prove a major role in the applications of bimodels both in fuzzy theory and neutrosophic theory. Finally we give the matrix represen... ...that gives the hidden pattern of the situation. As we have a very well known theory, which states that the strength of the data 76 depends on, th... ... Using this model one can study the effect of any pair of attributes of the systems which are given as resultant neutrosophic bivector. Thus the r... ...nodes are in the off state. Now the effect of A on the neutrosophic dynamical systems N(E B ) is as follows. AN(E B ) = (A 1 ∪ A 2 ) (N (E 1 )...

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...erimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a brief review of a problem and obtained results. All submissions should be designed in LATEX format using Progress in Physics template. This template can be downloaded from Progress in Physics home page http://www.geocities.com/ptep_online...

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...According to the Dictionary of Mathematics (Borowski and Borwein, 1991 [1]), the paradox is “an apparently absurd or self-contradictory statement for which there is prima facie support, or an explicit contradiction derived from apparently unexceptionabl...

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...INPHYSICS A quarterly issue scientifc journal, registered with the Library of Congress (DC). This journal is peer reviewed and included in the abstrac... ...nal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ of Lund University... ...tor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Step... .... . . . . . . . . . . . . . . . . . . 9 L. Nottale Fractality Field in the Theory of Scale Relativity. . . . . . . . . . . . . . . . . . 12 L. Borisso... ... . . . . . . . . . . . 20 C. Castro, M. Pavˇ siˇ c The Extended Relativity Theory in Clifford Spaces.. . . . .31 K. Dombrowski Rational Numbers Distri... ...−g= √ h p g 00 , g=det g αβ . Observable non-uniformity of the space is set up by the chr.inv.-Christoffel symbols Δ i jk =h im Δ jk,m , which are ... ...r. Where does <A> really end and <Non-A> begin? One extends Zadeh’s “fuzzy set” concept to the “neutrosophic set” concept. Let’s now introduce the not... ...hys. A: Math. Gen., v. 37, 2004, 931. 4. Nottale L. Computing Anticipatory Systems. CASYS’03 — Sixth International Conference, Li` ege, Belgique, 11–1... ...fed Newtonian Dynamics Carlos Castro Center for Theor. Studies of Physical Systems, Clark Atlanta University, Atlanta, USA E-mail: czarlosromanov@yaho...

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...erimental physics, including related themes from mathematics. All submitted papers should be professional, in good English, containing a brief review of a problem and obtained results. All submissions should be designed in LATEX format using Progress in Physics template. This template can be downloaded from Progress in Physics home page http://www.geocities.com/ptep_online...

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...As shown, experiments registered unmatter: a new kind of matter whose atoms include both nucleons and anti-nucleons, while their life span was very short, no more than 10-20sec. Stable states of unmatter can be built on quarks and anti-quarks: applying the unmatter principle her...

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...INPHYSICS A quarterly issue scientifc journal, registered with the Library of Congress (DC). This journal is peer reviewed and included in the abstrac... ...nal is peer reviewed and included in the abstracting and indexing coverage of: Mathematical Reviews and MathSciNet (AMS, USA), DOAJ of Lund University... ...tor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Step... .... . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 D. Rabounski A Theory of Gravity Like Electrodynamics. . . . . . . . . . . . . . . . . . .... ...sova Gravitational Waves and Gravitational Inertial Waves in the Gen- eral Theory of Relativity: A Theory and Experiments. . . . . . . . . . . . . . .... ...ent derived by Abrams [7] by a dif- ferent method. Alternatively one could set r=R c in (6), as Hilbert in his work [8] effectively did, to obtain the... ...hosen. To fnd the r-parameter in terms of a particular coordinate sys- tem set, χ 2π = p C n (D(r))= r−r 0 n +α n 1 n , so |r−r 0 |= h χ ... ...y (Scotland) [9] and other laboratories around the world. The experimental systems used in these attempts were more sensitive than those of the Weber ... ...in which numerous variables are linked by relationships (6.13) and (6.14). Systems such as this cannot be solved analytically in general, but we can o...

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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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...On the Cultural Contrast: East-West, preface by F. Liu. 4 -- Abstract by the Translator to the Chinese Translation of Neutrosophics. 12 -- Preface by the Translator to the Chinese Translation of Neutrosophics. 13 -- Biography of the Translator. 18 -- Publication Review by F. Liu. 22 -- Annotation in the Chinese Translation of Neutrosophic...

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...m: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann Arb... ...ownloaded from the following Digital Library: http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm Peer Reviewers: Dr. M. Khoshn... ...oks-otherformats.htm Peer Reviewers: Dr. M. Khoshnevisan, School of Accounting and Finance, Griffith University, Gold Coast, Queensland 972... ...d Buddha-the enlightenment of genuine nature. Wisdom in essence is not a set of signs that point to the ultimate truth, but to our real enlightenmen... ... he may be doing something philosophism. Although he claimed to base his theory on the summarization of all the logic schools of the West, he might... ...onarch-subjects, friends, etc. It is the natural rule, not regulations or systems, nor schools or doctrines. Individuals conforming to it are said to... ... living: from scientists, and students, to children. They are educated to set up their enemies. However, there are strictly limited resources in the ... ...rn from the West? On the contrary, Chinese classic culture based all its theory on the unification of man and heaven (the universe), i.e., on the u... ... explanation. In practice we have to assume that for incomplete knowledge systems as in ordinary humans, one can regard the truth as existing in rel...

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...The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiment...

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... can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We pr...

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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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...The fourth volume, in my book series of “Collected Papers”, includes 100 published and unpublished articles, notes, (preliminary) drafts containing just ideas to be further investigated, scientific souvenirs, scientific blogs, project proposals, small experiment...

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... can form a statistically reliable opinion based on limited clinically observed data, regarding whether an osteo-hyperplasia could actually be a case of Ewing’s osteosarcoma. The basic premise underlying our methodology is that a primary bone tumour, if it is indeed Ewing’s osteosarcoma, cannot increase in volume beyond some critical limit without showing metastasis. We pr...

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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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...Chapter 1 first introduces the interval neutrosophic sets which is an instance of neutrosophic sets. In this chapter, the definition of interval neutrosophic sets and set-theoretic operators are given and various properties of interval neutrosophic set are proved. Chapter 2 defines the interval neutroso...

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...The neutrosophic set generalizes the above mentioned sets from philosophical point of view. From scientific or engineering point of view, the neutrosophic set and set-theoretic operators need to be specified. Otherwise, it will be difficult t...

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...Preface iii 1 Interval Neutrosophic Sets 1 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Neutrosophic Set . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Interval Neutrosophic Set . . . . . . . . . . . . . . . . . . . . . 6 1.4 Properties of Set-theoretic Operators . . . . . . . . . . . . . . . . . . 14 1.5 Convexity...

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...This book was intended to discuss some paradoxes in Quantum Mechanics from the viewpoint of Multi-Valued-logic pioneered by Lukasiewicz, and a recent concept Neutrosophic Logic. Essentially, this new concept offers new insights on the idea of ‘identity’, which too often it has been accepted as given....

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...lti-Valued-logic: History and Introduction to Multi- Valued Algebra 2.1 Introduction to trivalent logic and plurivalent logic We all have heard of typical binary logic, Yes or No. Or in a famous phrase by Shakespeare: “To be or not to be.” In the same way all computer hardwares from early sixties up to this year are built upon the same binary logic. It is known t...

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...Multi-Valued Logic: History and Introduction to Multi-Valued Algebra 10 2.1. Introduction to trivalent logic and plurivalent logic 10 2.2. History of Lukasiewicz and Multi-Valued Logic 12 2.3. Introduction to Multi-Valued Algebra, Chang’s Notation 15 2.4. Linkage between Multi-Valued Logic and Quantum Mechanics 15 2.5. Exercise 17 3 Neutrosophy 25 3.1. Introduction...

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... interval, neutrosophic, etc. We survey also results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks of the following deductive calculi: Hilbert ’s style, sequent, and hypersequent. Recall that hypersequents are a natural generalization of Gentzen ’s style sequents that was introduced independently by Avron and Pottinger . ...

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...1.1 Neutrality concept in logic Every point of view A tends to be neutralized, diminished, balanced by Non-A. At the same time, in between A and Non-A there are infinitely many points of view Neut-A. Let’s note by A an idea, or proposition, theory, event, concept, enti...

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...Lukasiewicz’s logics. . . . . . . . . . . . . . . 27 3.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.2 Originality of (p + 1)-valued Lukasiewicz’s logics . . . . . . . . . 30 3.3 n-valued Lukasiewicz’s calculi of Hilbert’s type . . . . . . . . . . 32 3.4 Sequent calculi for n-valued Lukasiewicz’s logics . . . . . . . . . . 33 3.5 Hy...

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...Applications demonstrate the power of the DSmT framework. In this third Volume, DSmT is applied to the entire spectrum of the Information Fusion that would interest any reader in data, sensor, information, and mathematical fusion topics. Highlighted in Figure ...

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...Part I Advances on DSmT 1 Chapter 1 An introduction to DSmT 3 by J. Dezert and F. Smarandache 1.1 Introduction . . . . . . . . . . 4 1.2 Foundations of DSmT . . . . . . . . . 4 1.2.1 The power set, hyper-power set and super-power set . . 6 1.2.2 Notion of free and hybrid DSm models . . . . 18 1.2.3 Ge...

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...In a lecture that Einstein gave to the Prussian Academy of Sciences in 1921, he said the following: "Geometry predicates nothing about relations of real things, but only geometry together with the purport of physical laws can do so... The idea of the measuring rod and the idea of ...

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...rrier: its construction and demolition. 14 -- Jim Malmberg. 17 -- DrDavid Iadevaia. 25 -- DrLarissa BBorrisova & Dmitri DRabounski. 29 -- DrFlorentin Smarandache. 36 -- Greg Holmberg AKA BBash. 43 -- Homer BTilton. 83 -- Credits . 100 -- Photos. 101 --...

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... TODAY'S TAKE ON EINSTEIN’S RELATIVITY PROCEEDINGS OF THE CONFERENCE OF 18 FEB 2005 Cover Montage by Bob Wise Models of X-... ...co Cable Car by the Danbury Mint Edited by Homer B. Tilton and Florentin Smarandache Pima Community College, East Campus 2 This book can... ...: Books on Demand ProQuest Information & Learning (University of Microfilm International) 300 N. Zeeb Road P.O. Box 1346, Ann A... ...dea of the measuring rod and the idea of the clock contained with it in the theory of relativity do not find their exact correspondence in the real ... ...on of Einstein's as reported by Rosser, p.398:[3] 7 The theory of relativity is often criticized for giving, without justificati... ...fantasy. More than anyone, Albert Einstein (14 March 1879 to 18 April 1955) set the tone, as it remains to this day, for humankind's starflight aspi... ... (4) From (2), (3) and (4) we have a set of three simultaneous equations in four variables, 0 u , 1 u , 0 ... ... picture. This is a sign of a non- linear system. There are many physical systems whose descriptions are quite inadequate when described in terms ... ...ysical basis for a model of a mind, or more generally for a model of mental systems. 8. Solar system stability 45 9. What the sun's energy...

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...Fuzzy theory is one of the best tools to analyze data, when the data under study is an unsupervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indete...

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... FUZZY AND NEUTROSOPHIC ANALYSIS OF WOMEN WITH HIV/AIDS With Specific Reference To Rural Tamil Na... ... Rural Tamil Nadu in India W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 60003... ... e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallu... ...NCES 290 INDEX 312 ABOUT THE AUTHORS 316 5 Preface Fuzzy theory is one of the best tools to analyze data, when the data under s... ...pervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indeterminacy.... ... training of both men and women for mutual negotiation. Unless these support systems are in place, women in relationship with HIV- infected men may ... ... between the domain and range spaces. The FRMs can take edge values from the set {–1, 0, 1}. If the number of 19 concepts in the domain space is ... ...we call, as the relational matrix. This matrix will have its entries from the set {–1, 0, 1}. Using this relational matrix we say whether the dynami... ...e adaptable in case of data when we are not in a position to inter-relate two systems but we know they are inter- related indirectly. Such study is p...

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...In this book for the first time we have ventured into the total analysis of migrant labourers in rural Tamil Nadu who are victims of HIV/AIDS using FCM, BAM and Neutrosophic Cognitive Maps. As in our study and analysis we felt several of the factors related with the psycho, socio, economic problem...

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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 stabil...

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...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE ANALYSIS OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING W... ...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE ANALYSIS OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING WITH HIV/AIDS USING FUZZY ... ...OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING WITH HIV/AIDS USING FUZZY THEORY AND NEUTROSOPHIC COGNITIVE MAPS With Specific Reference To Rura... ...ce To Rural Tamilnadu In India XIQUAN Phoenix 2004 ANALYSIS OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING WITH HIV/AIDS USING FUZZY T... ... OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING WITH HIV/AIDS USING FUZZY THEORY AND NEUTROSOPHIC COGNITIVE MAPS With Specific Reference To Rura... ...ference in status between men and women, supported by social and cultural systems make it difficult for women to take preventive and safe-sex measur... ... preventive and safe-sex measures. Further, the patriarchal Indian family set-up ensures tragically that men do not divulge their HIV seropositivity... ...cludes the graph-search techniques used in artificial- intelligence expert systems. FCMs feedback allows experts to freely draw causal pictures of th... ...odes. DEFINITION 2.2.3: FCMs with edge weights or causalities from the set {–1, 0, 1}, are called simple FCMs. DEFINITION 2.2.4: Consider the n...

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...introduction of neutrosophic theory has put forth a significant concept by giving representation to indeterminates. Uncertainty or indeterminacy happen to be one of the major factors in almost all real-world problems. When uncertainty is ...

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...to Fuzzy and Neutrosophic Models W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600036,... ... e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup,... ...c.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-mail: ... ...eutrosophic Vector spaces 8 Chapter Two SOME BASIC RESULTS ON GRAPH THEORY AND THEIR APPLICATION TO FUZZY MODELS 2.1 Some basics on Gr... ...ophic algebraic structures is very recent. The introduction of neutrosophic theory has put forth a significant concept by giving representation to i... ...up under addition. Z(I) denote the additive abelian group generated by the set Z and I, Z(I) is called the neutrosophic abelian group under ‘+’. ... ... over the neutrosophic field K(I ). By basis we mean a linearly independent set which spans the neutrosophic space. Now we illustrate with an exampl... ... SERVICES NEW PRODUCT INTER- ORGANISATIONAL EFFICIENCY INFORMATION SYSTEMS EVALUATION INTERNAL EFFICIENCY NEW ENTRANTS BUSINESS COMP... ... Baets, B., and Kerre, E.E., Fuzzy Relational Compositions, Fuzzy sets and Systems, 60, (1993), 109- 120. 15. Dirac, G.A., Some Theorems on Abstrac...

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...In a world of chaotic alignments, traditional logic with its strict boundaries of truth and falsity has not imbued itself with the capability of reflecting the reality. Despite various attempts to reorient logic, there has remained an e...

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...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY COGNITIVE MAPS AND NEUTROSOPHIC COGNITIVE MAPS ... ...ROSOPHIC COGNITIVE MAPS XIQUAN Phoenix 2003 CARE OF THE AIDS INFECTED PERSONS CREATION OF AWARENESS ABOUT AIDS PREVENT... ...E AIDS INFECTED PERSONS CREATION OF AWARENESS ABOUT AIDS PREVENTION OF SPREAD OF AIDS EPIDEMIC MEDICAL TREATMENT OF AIDS PATIENTS SOCIAL ... ...s the uninterpretable; regards, from many different angles, old concepts, systems and proves that an idea which is true in a given referential syste... ...ntion here that the Neutrosophic logic is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cogn... ...and far-reaching consequences as a mathematical tool for modeling complex systems. Prof. Bart Kosko, the guru of fuzzy logic, introduced the Fuzzy C... ...Fuzzy Visions of Society and Science in the Digital Age writes that fuzzy theory can offer more choices and blur the hard lines of power that define... ...nodes. DEFINITION 1.1.3: FCMs with edge weights or causalities from the set {–1, 0, 1} are called simple FCMs. DEFINITION 1.1.4: Consider the n... ...d output window */ } else if (label.equals("Load Sample Matrix")) { /* set the number of values to 5 */ try { dataURL=new URL ("http://members...

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...The aim of this book is two fold. At the outset the book gives most of the available literature about Fuzzy Relational Equations (FREs) and its properties for there is no book that solely caters to FREs and its applications. Though w...

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... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATION... ...S AND NEUTROSOPHIC RELATIONAL MAPS W. B. Vasantha Kandasamy Department of Mathematics Indian Institute of Technology, Madras Chennai – 600... ...tm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, NM 87301, USA e-ma... ...ol and fuzzy control based on FRE 108 4 1.19 A FRE in dynamic fuzzy systems 113 1.20 Solving FRE with a linear objective function 117... ... a characterization of t-norms for fuzzy sets 146 1.26 Solvability criteria for systems of FRE 156 1.27 Infinite FRE to a complete browerian lattice... ...S patients 211 Chapter Three SOME NEW AND BASIC DEFINITIONS ON NEUTROSOPHIC THEORY 3.1 Neutrosophic sets and neutrosophic logic 222 3.2 Fuzzy... ...veral new neutrosophic concepts starting from the notion of neutrosophic fuzzy set, neutrosophic fuzzy matrix, neutrosophic lattices, neutrosophic ... ...nalysis of Social Aspects of Migrant Labourers Living With HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps: With Specific Reference to R... ...f neural networks and genetic algorithm is used in solving problems. A complete set of references is given in the end of the book citing the names o...

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...K.R.Narayanan was a lauded hero and a distinguished victim of his Dalit background. Even in an international platform when he was on an official visit to Paris, the media headlines blazed, ‘An Untouchable at Elysee’. He was visibly upset and it proved that a Dalit who rose up to such...

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... FUZZY AND NEUTROSOPHIC ANALYSIS OF PERIYAR’S VIEWS ON UNTOUCHABILITY W. B. Vasantha Kandasamy e... ...y e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache e-mail: smarand@unm.edu K. Kandasamy e-mail: dr.... ... K. Kandasamy e-mail: dr.k.kandasamy@gamil.com Translation of the speeches and writings of Periyar from Tamil by Meena Kand... ... untouchability and the caste-system of Hinduism using Fuzzy and Neutrosophic theory. In studying untouchability, we have chosen to view it throug... ...te is based on the 8 mind, it is appropriate to use Fuzzy and Neutrosophic theory. In Chapter Two we use the opinion of several experts to anal... ...zy nodes. DEFINITION 1.1.3: FCMs with edge weights or causalities from the set {–1, 0, 1} are called simple FCMs. DEFINITION 1.1.4: Consider th... ... precludes the graph-search techniques used in artificial-intelligence expert systems. FCMs feedback allows experts to freely draw causal pictures ... ...ve we will use these for FCM model, Neutrosophic Cognitive Maps to study the systems. 1.3 Fuzzy Relational Maps In this section, we introdu... ...pace of dimension m (m in general need not be equal to n). We denote by R the set of nodes R 1 ,…, R m of the range space, where R = {(x 1 ,…, x m ...