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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 we have a comprehensive bibliography, we do not promise to give all the possible available literature...

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... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATIONAL MAPS HEXI... ...OSOPHIC RELATIONAL MAPS HEXIS Church Rock 2004 1 FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATIONAL MAPS W. B. Vasan... ... i c a t i o n 6 P r e f a c e 7 Chapter One FUZZY RELATIONAL EQUATIONS: BASIC CONCEPTS AND PROPERTIES 1.1 Fuzzy Rel... ...on problems with fuzzy relation equation constraints 57 1.9 Neural fuzzy relational system with a new learning algorithm 63 1.10 Unatt... ... Unattainable Solution of FRE 67 1.11 Specificity shift in solving fuzzy relational equations 70 1.12 FRE with defuzzification algorithm ... ...study the non-linear optimization problems. They have presented an optimization model with a nonlinear objective function subject to a system of fuz... ... the user’s criterion function, they solve the following non linear programming model with fuzzy relation constrains min f(x) s.t x o A = b (... ...e user based on the objective function f(x). some related applications of this model with different objective functions can be found in [107] for m... ...ine outputs for a given set of inputs without using conventional, mathematical models. FLC follows the general strategy of control worked out by a ...

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... theory cannot cater to analyzing the data involved with indeterminacy. The only tool that can involve itself with indeterminacy is the neutrosophic model....

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...OTIONS / FEELINGS OF HIV / AIDS INFECTED WOMEN 2.1 Introduction to Fuzzy Relational Maps 14 2.2 Use of FRMs to analyze the socio economic ... ...IENTS 3.1. Introduction to Fuzzy Associative Memories 57 3.2. Use of FAM model to study the socio economic problem of women with HIV/AIDS ... ...blem of women with HIV/AIDS 61 4 Chapter Four USE OF NEUTROSOPHIC MODELS TO ANALYZE HIV/AIDS WOMEN PATIENTS' PROBLEM 4.1 Use of NR... ...TS' PROBLEM 4.1 Use of NRM in the Analysis of the Problem 65 4.2 NAM model to study the Problem 77 Chapter Five INTERVIEWS OF 101 ... ... The only tool that can involve itself with indeterminacy is the neutrosophic model. Neutrosophic models are used in the analysis of the socio-econ... ...ter 2 is an analysis of the situation using fuzzy theory in general and Fuzzy Relational Maps (FRM) in particular. The FRM tool is specially chosen ... ...r 4 for the first time we use neutrosophic theory in general and neutrosophic relational maps (NRM) in particular to analyze this problem. Intereste... ...ter has two sections. In the first section we introduce the concept of Fuzzy Relational Maps (FRMs), in the second section we analyze the psycholog... ...of the HIV/AIDS affected women using FRMs. We have particularly chosen fuzzy relational maps because the women's problem of being infected with HIV...

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...t order interval neutrosophic propositional logic and rst order interval neutrosophic predicate logic. The interval neutrosophic logic can reason and model fuzzy, incomplete and inconsistent information. In this chapter, we also design an interval neutrosophic inference system based on rst order interval neutrosophic predicate logic. The interval neutrosophic inference sys...

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...ut from representations of incidents and situations that are specifically relational. The elementary impressions and emotional stirrings that waken ... ...nting him-and from situations -life with a being confronting him-that are relational in character. He is not disquie~ed by the moon that he sees ev... ...lly be exPerienced, but simply suffered. This initial and long-continuing relational character of every essential phenomenon makes it also easier to... ...h he ascribes the "mystical power" are all elementary incidents that are relational in character, that is, all incidents that disturb him by stirri... ... supernatural than it. The memory as it is being trained ranges the grand relational _ events, the elemental emotional shocks. The most important f... ...e age, for which the demonia.cal, with­ out present, has become master and model, misunder­ stands him. It does not know that what rule here are not ...

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...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-matrices, bigraphs, trigraphs and n-graphs and describe some of its properties. These concepts are also extended neutrosophically in this...

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... APPLICATIONS OF BIMATRICES TO SOME FUZZY AND NEUTROSOPHIC MODELS W. B. Vasantha Kandasamy Department of Mathematics India... ... Bimatrices 23 Chapter Three APPLICATION OF BIMATRICES TO NEW FUZZY MODELS 3.1. Definition of Fuzzy Cognitive Maps 71 3.2. Fuzzy Cognit... ... and their Applications 102 4 3.4. Definition and Illustration of Fuzzy Relational Maps 121 3.5. Fuzzy Relational Bimaps and their Applicati... ...aps 121 3.5. Fuzzy Relational Bimaps and their Applications 124 3.6. Fuzzy Relational Trimaps and their Application 135 Chapter Four NE... ...NEUTROSOPHIC BIGRAPHS THEIR GENERALIZATIONS AND APPLICATIONS TO NEUTROSOPHIC MODELS 4.1 Some Basics of Neutrosophic graphs 151 4.2 Neutrosophi... ...s 188 4.4 Neutrosophic Trimaps and their Applications 209 4.5 Neutrosophic Relational Maps 218 4.6 Neutrosophic Relational Bimaps and their Appl... ...f the problem under investigation. This book, in order to generalize the two models, has systematically invented mathematical tools like bimatrices... ...se new tools we define fuzzy cognitive bimaps, fuzzy cognitive trimaps, fuzzy relational bimaps and fuzzy relational trimaps which exploit the new ... ... in the construction of fuzzy cognitive bimaps, trimaps and n-maps and fuzzy relational bimaps, trimaps and n-maps. The neutrosophic analogues of c...

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...entation to indeterminates. Uncertainty or indeterminacy happen to be one of the major factors in almost all real-world problems. When uncertainty is modeled we use fuzzy theory and when indeterminacy is involved we use neutrosophic theory. Most of the fuzzy models which deal with the analysis and study of unsupervised data make use of the directed graphs or bipartite grap...

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...ophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models W. B. Vasantha Kandasamy Department of Mathematics Indian ... ...er Two SOME BASIC RESULTS ON GRAPH THEORY AND THEIR APPLICATION TO FUZZY MODELS 2.1 Some basics on Graphs 18 2.2. More Properties on Graph... ...nian Graphs 44 2.7 Graph Colorings 52 2.8 Application of Graphs to Fuzzy Models 56 Chapter Three NEUTROSOPHIC GRAPHS AND THEIR APPLICATIO... ...Chapter Three NEUTROSOPHIC GRAPHS AND THEIR APPLICATION TO NEUTROSOPHIC MODELS 3.1. Neutrosophic point / vertex Graphs and its properties 6... ... and applies it to the case of neutrosophic cognitive maps and neutrosophic relational maps. The last section of this chapter clearly illustrates ho... ... Cognitive Maps and use rectangular neutrosophic matrices for Neutrosophic Relational Maps. 13 Chapter Two SOME BASIC RESULTS... ... partial ordering relations, fuzzy morphisms fuzzy cognitive maps and fuzzy relational map models. Most of these models also basically rely on the u... ...n. The related bipartite graph with associated edge weights. 57 The relational membership matrix y 1 y 2 y 3 y 4 y 5 y 6 R... ... 0 0 0 0 0 0 1 1 1 0 1 0 1 0 . Now we just recall the definition of Fuzzy Relational Maps. (FRM). DEFINITION 2.8.6: A FRM is a directed graph o...

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...This book aims to assist social scientists to analyze their problems using fuzzy models. The basic and essential fuzzy matrix theory is given. The book does not promise to give the complete properties of basic fuzzy theory or basic fuzzy matrices. Instead, the authors have only tried to give those essenti...

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...EORY 7 1.1 Basic Matrix Theory 7 1.2 Basic Concepts on Fuzzy Matrices 33 1.3 Basic Concepts on Graphs 47 Chapter Two DESCRIPTION OF SIMPLE FUZZY MODELS AND THEIR APPLICATIONS TO REAL WORLD PROBLEMS 71 2.1 Description of Simple Fuzzy Matrix Model 72 2.2 Definition of Fuzzy Cognitive Maps with real world model representation 146 2.3 Definition and Illustration of F...

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...We have used the 2-adaptive fuzzy model having the two fuzzy models, fuzzy matrices model and BAMs viz. model to analyze the views of public about HIV/ AIDS disease, patient and the awareness program. This book has five chapters and 6 appendices. The first ch...

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...In this chapter for the first time we introduce the new class of n-adaptive fuzzy models (n a positive integer and n ≥ 2) and illustrate it. These n-adaptive fuzzy models can analyze a problem using different models so one can get in one case the hidden pattern, in one case the maximum time period in some ...

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...Chapter One SOME BASIC FUZZY MODELS WITH ILLUSTRATIONS 1.1 Fuzzy matrices and their applications 9 1.2 Definition and illustration of Fuzzy Relational Maps (FRMs) 16 1.3 Some basic concepts of BAM with illustration 20 1.3.1 Some basic concepts of BA...

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...This book has four chapters. In chapter one the authors introduce the three types of super FRM models. Chapter two uses these three new super fuzzy models to study the role of media which feverishly argued against 27 percent reservation for OBCs in Central Government-run institutions in India. The experts we consulted ...

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...Dedication 5 Preface 6 Chapter One INTRODUCTION TO NEW SUPER FUZZY MODELS 7 1.1 Supermatrices and Fuzzy Supermatrices 7 1.2 Super Fuzzy Relational Maps 45 Chapter Two ANALYSIS OF THE ROLE OF MEDIA ON RESERVATION FOR OBC USING SUPER FUZZY MODELS 57 2.1 Brief Description of the Attribute...

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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 applications in several real models. In fact it is not an exaggera...

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...Matrices provide a very powerful tool for dealing with linear models. Bimatrices which we are going to define in this chapter are still a powerful and an advanced tool which can handle over one linear model at a time. Bimatrices will be useful when time bound comparisons are needed in...

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...face Matrix theory has been one of the most utilised concepts in fuzzy models and neutrosophic models. From solving equations to characterising... ...rators, matrices are used. Matrices find their applications in several real models. In fact it is not an exaggeration if one says that matrix theory... ...acy we construct neutrosophic bimatrices, which can be used in neutrosophic models. By no means we make any claim that the concept of indeterminac... ... of neutrosophic matrices and have used them in Neutrosophic Cognitive Maps model and in the Neutrosophic Relational Equations models, which are an... ...have used them in Neutrosophic Cognitive Maps model and in the Neutrosophic Relational Equations models, which are analogous to Fuzzy Cognitive Map ... ...nal Equations models, which are analogous to Fuzzy Cognitive Map and Fuzzy Relational Equations models respectively. These bimatrices, fuzzy bimatr... ... which are analogous to Fuzzy Cognitive Map and Fuzzy Relational Equations models respectively. These bimatrices, fuzzy bimatrices, or neutrosophic... ...atrices. The notion of these matrices have been used to define neutrosophic relational equations and fuzzy neutrosophic relational equations. ... ...Rock, 2005. 51. VASANTHA KANDASAMY, W.B., and FLORENTIN Smarandache, Fuzzy Relational Equations and Neutrosophic Relational Equations, Hexis, Churc...

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...6 1.5 Some Basic Notions about Neutrosophic Graphs 22 1.6 On Neutrosophic Cognitive Maps with Examples 28 1.7 Definition and Illustration of Fuzzy Relational Maps (FRMs) 33 1.8 Introduction to Fuzzy Associative Memories 40 1.9 Some Basic Concepts of BAM 43 1.10 Properties of Fuzzy Relations and FREs 49 1.11 Binary Neutrosophic Relations and their Properties 56 Chap...

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...stic spaces are introduced in chapter two. Fuzzy linguistic vector spaces are introduced in chapter three. Chapter four introduces fuzzy linguistic models. The final chapter suggests over 100 problems and some of them are at research level....

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...r One Introduction 7 Chapter Two Fuzzy Linguistic Spaces 9 Chapter Three Fuzzy Linguistic Set Vector Spaces 23 Chapter Four Fuzzy Linguistic Models 129 4.1 Operations on Fuzzy Linguistics Matrices 129 4.2 Fuzzy Linguistic Cognitive Models 139 4.3 Fuzzy Linguistic Relational Map Model 148 Chapter Five Suggested Problems 165 Further Reading 187 Index...

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...r Two ANALYSIS OF THE COLLECTED DATA OF THE PWDS FROM MELMALAYANUR AND KURINJI PADI BLOCKS IN TAMIL NADU 13 Chapter Three THE NEW FUZZY COGNITIVE RELATIONAL MAPS (FCRMS) BIMODEL 29 Chapter Four ANALYSIS OF THE SOCIO ECONOMIC PROBLEMS FACED BY THE PWDS USING (SFCMS) 47 4.1 Application of FCMs Models to Social and Psychological Problems 48 4.2 Expert Opinion of PWDs ...

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...ive Maps are fuzzy structures that strongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. FCM was a fuzzy extension of the cognitive map pioneered in 1976 by political scientist Robert Axelord, who used it to represent knowledge as an interconnected, directed, bilevel-logic graph....

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...DROPOUTS – A MATHEMATICAL ANALYSIS 35 Chapter Four SCHOOL DROPOUTS AS CHILD LABOURERS 59 Chapter Five SCHOOL DROPOUTS AS RAG PICKERS USING FUZZY MODELS 79 Chapter Six PERFORMANCE ASPECTS OF SCHOOL STUDENTS USING RULE BASED CONTROL SYSTEM 89 Chapter Seven MIGRATION OF PARENTS AND THE SCHOOL DROPOUTS A STUDY USING THE FUZZY RELATIONAL MAPS MODEL 99 Chapter Eight T...

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...Abstract: In this paper we find the interrelations and the hidden pattern of the problems faced by the PWDs and their caretakers using Fuzzy Relational Maps (FRMs). Here we have taken the problems faced by the rural persons with disabilities in Melmalayanur and Kurinjipadi Blocks, Tamil Nadu, India. This paper is organized with the following four sections. Section...

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...the text of select articles about Vedic Mathematics that appeared in the media. Chapter III recalls some basic notions of some Fuzzy and Neutrosophic models used in this book. This chapter also introduces a fuzzy model to study the problem when we have to handle the opinion of multiexperts. Chapter IV analyses the problem using these models. The final chapter gives the obs...

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...ic Mathematics and the Calculations of Guru Tirthaji - Secrets of Ancient Maths 61 Chapter Three INTRODUCTION TO BASIC CONCEPTS AND A NEW FUZZY MODEL 65 3.1 Introduction to FCM and the Working of this Model 65 3.2 Definition and Illustration of Fuzzy Relational Maps (FRMS) 72 3.3 Definition of the New Fuzzy Dynamical System 77 3.4 Neutrosophic Cognitive Maps with...

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...order interval neutrosophic propositional logic and first order interval neutrosophic predicate logic. The interval neutrosophic logic can reason and model fuzzy, incomplete and inconsistent information. In this chapter, we also design an interval neutrosophic inference system based on first order interval neutrosophic predicate logic. The interval neutrosophic inference s...

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... Interval Neutrosophic Logic . . . . . . . . . . . . . . . 32 2.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . 38 3 Neutrosophic Relational Data Model 39 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3.2 Fuzzy Relations and Operations . . . . . . . . . . . . . . . . . . . . 42 3.2.1 Set-theoretic operations on Fuzzy relatio...

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...s itself to applications to several fields like coding or communication theory, Markov chains, representation of groups and graphs, Leontief economic models and so on. This book has for the first time, introduced a new algebraic structure called linear bialgebra, which is also a very powerful algebraic tool that can yield itself to applications. With the recent introduct...

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...ry, Markov chains, representation of groups and graphs, Leontief economic models and so on. This book has for the first time, introduced a new alge... ...eutrosophic bivector spaces. Their 6 probable applications to real-world models are discussed. We have aimed to make this book engrossing and ill... ...ng ones. Further we deal with a Smarandache analogue of Leontief economic models. 1.3.1 Smarandache Markov chains Suppose a physical or a mat... ... develop results in this direction. 1.3.2 Smarandache Leontief economic models Matrix theory has been very successful in describing the interr... ...trices for NCMs and use rectangular neutrosophic matrices for Neutrosophic Relational Maps 138 (NRMs). We need the notion of neutrosophic graphs ... ... will be nothing but directed neutrosophic graphs. Similarly neutrosophic relational maps will also be directed neutrosophic graphs. It is no coinc... ...trices. The notion of these matrices have been used to define neutrosophic relational equations and fuzzy neutrosophic relational equations. 196... ...ix, 2003. 45. VASANTHA KANDASAMY, W.B., and FLORENTIN Smarandache, Fuzzy Relational Equations and Neutrosophic Relational Equations, Hexis, Church... ...al neutrosophic matrices, 193 Fuzzy neutrosophic matrices, 194, 195 Fuzzy Relational Maps, 138 G Generalized Cayley Hamilton Theorem, 7, 9 Ge...

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...n attribute or concept involved, the notion of neutrosophic methods can be adopted. The authors feel that the reader should be well versed with fuzzy models like neural networks, fuzzy relational equations, fuzzy control theory, fuzzy linear programming and neutrosophic fuzzy models like NRE together with a knowledge of the technical functioning of chemical industries....

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...ee stage counter current extraction unit 86 Chapter Five MINMIZATION OF WASTE GAS FLOW IN CHEMICAL INDUSTRIES 89 Chapter Six USE OF NEUTROSOPHIC RELATIONAL EQUATIONS IN CHEMICAL ENGINEERING 103 6.1 Introduction to Neutrosophic relation and their properties 103 6.2 Use of NRE in Chemical engineering 114 FURTHER READING 117 INDEX 123 ABOUT THE AUTHORS 125 ...

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...picture on the cover is a neutrosophic directed graph of the Neutrosophic Relational Map exhibiting the relations between the concepts of Women Empo... ...5 Chapter One BASIC CONCEPTS ABOUT FUZZY COGNITIVE MAPS AND FUZZY RELATIONAL MAPS 1.1 Definition of Fuzzy Cognitive Maps (FCMs) 7 1.2 Fuz... ...f Fuzzy Cognitive Maps (FCMs) 7 1.2 Fuzzy Cognitive Maps – Properties and Models 10 1.3 Some more illustrations of FCMs 26 1.4 Applications of FCMs... ... 26 1.4 Applications of FCMs 63 1.5 Definition and Illustration of Fuzzy Relational Maps (FRMs) 93 1.6 Models illustrating FRM and combined FRMs 96... ...3 1.5 Definition and Illustration of Fuzzy Relational Maps (FRMs) 93 1.6 Models illustrating FRM and combined FRMs 96 1.7 Linked Fuzzy Relational M... ...Ms) 93 1.6 Models illustrating FRM and combined FRMs 96 1.7 Linked Fuzzy Relational Maps 118 Chapter Two ON NEUTROSOPHIC COGNITIVE MAPS AND NE... ...aps 118 Chapter Two ON NEUTROSOPHIC COGNITIVE MAPS AND NEUTROSOPHIC RELATIONAL MAPS – PROPERTIES AND APPLICATIONS 2.1 An introduction to neu... ...as an alternative to the existing logics and it represents a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined, unknow... ...ey have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Prof. Bart Kosko, the guru of fuzzy logic, introd...

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...yond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases....

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... 3. Open and Solved Elementary Questions in Astronomy, by Florentin Smarandache.. 36 BIOLOGY......................................40 4. Statistical Modeling of Primary Ewing Tumors of the Bone, by Sreepurna Malakar, Florentin Smarandache, Sukanto Bhattacharya, in in , Vol. 3, No. JJ05, 81-88, 2005................41 CALCULUS....................................53 5. A Tr...

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...yond some critical limit without showing metastasis. We propose a statistical method to extrapolate such critical limit to primary tumour volume. Our model does not involve any physiological variables but rather is entirely based on time series observations of increase in primary tumour volume from the point of initial detection to the actual detection of metastases....

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... 3. Open and Solved Elementary Questions in Astronomy, by Florentin Smarandache.. 36 BIOLOGY......................................40 4. Statistical Modeling of Primary Ewing Tumors of the Bone, by Sreepurna Malakar, Florentin Smarandache, Sukanto Bhattacharya, in in , Vol. 3, No. JJ05, 81-88, 2005................41 CALCULUS....................................53 5. A Tr...

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... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATIONAL MAPS HEXI... ...OSOPHIC RELATIONAL MAPS HEXIS Church Rock 2004 1 FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATIONAL MAPS W. B. Vasan... ... i c a t i o n 6 P r e f a c e 7 Chapter One FUZZY RELATIONAL EQUATIONS: BASIC CONCEPTS AND PROPERTIES 1.1 Fuzzy Rel... ...on problems with fuzzy relation equation constraints 57 1.9 Neural fuzzy relational system with a new learning algorithm 63 1.10 Unatt... ... Unattainable Solution of FRE 67 1.11 Specificity shift in solving fuzzy relational equations 70 1.12 FRE with defuzzification algorithm ... ...study the non-linear optimization problems. They have presented an optimization model with a nonlinear objective function subject to a system of fuz... ... the user’s criterion function, they solve the following non linear programming model with fuzzy relation constrains min f(x) s.t x o A = b (... ...e user based on the objective function f(x). some related applications of this model with different objective functions can be found in [107] for m... ...ine outputs for a given set of inputs without using conventional, mathematical models. FLC follows the general strategy of control worked out by a ...

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...bility To HIV/AIDS 3.1 Some basic concepts of BAM 98 3.2 Use of BAM model to study the cause of vulnerability to HIV/AIDS and factors for... ...he problem of HIV/AIDS Migrant Labourers 271 5.5 Linked Neutrosophic Relational Maps and its application to Migrant Problems 288 5.6 Comb... ...as an alternative to the existing topics and it represents a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined-ness, ... ...ctims. This study is done in Chapter IV. In chapter V we use Neutrosophic Relational Maps and we define some new neutrosophic tools like Combined Di... ...eterminate relations is carried out mainly and solely by the neutrosophic models. We in this book have for the first time adopted the neutrosophic m... ... affected patients who are migrant labourers. In our opinion neutrosophic models in the study of this problems would be better than the fuzzy models... ...sophic cognitive maps, combined neutrosophic cognitive maps, neutrosophic relational maps and further define some new techniques for first time call... ...ng both fuzzy theory and neutrosophy theory. We use the fuzzy models like relational maps, combined fuzzy relational maps and also use neutrosophic ... ...elational maps, combined fuzzy relational maps and also use neutrosophic relational maps and combined neutrosophic relational maps. We in this chap...

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...nition of Fuzzy Cognitive Maps 9 1.2 Fuzzy Cognitive Maps – Properties and Models 13 1.3 Fuzzy Relational Maps 18 1.4 An Introduction to Neutr... ...ive Maps 9 1.2 Fuzzy Cognitive Maps – Properties and Models 13 1.3 Fuzzy Relational Maps 18 1.4 An Introduction to Neutrosophy and some Neut... ...lgebraic structures 22 1.5 Neutrosophic Cognitive Maps 27 1.6 Neutrosophic Relational Maps — Definition with Examples 31 Chapter Two UNTOUCH... ...alysis 83 2.6 Analysis of the social problem of untouchability using Fuzzy Relational Maps 97 Chapter Three PERIYAR E.V.R ’s BIOGRAPHY AN... ...ected Graphs and Neutrosophic Directed Graphs of these Fuzzy and Neutrosophic models happen to be very dense. We have represented 16 such graphs in ... ... and illustrate them with examples. Section two gives the properties and some models of FCM. Section three describes the notion of Fuzzy Relational ... ...roperties and some models of FCM. Section three describes the notion of Fuzzy Relational Maps (FRMs). In section four we introduce the concepts neut... ...f its properties. In the final section we give the definition of Neutrosophic Relational Maps (NRMs) and illustrate it by some models. 1.1 Def... ...e definition of Neutrosophic Relational Maps (NRMs) and illustrate it by some models. 1.1 Definition of Fuzzy Cognitive Maps In this section...

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...omic societies and periods of history such as Hitler's Germany or Stalin's Russia. Model citizens in these hellish environments were the criminal a... ... failure of treatment modalities. This form of "reverse engineering" of scientific models is not unknown in other fields of science, nor is it una... ...icity of the brain and the psychological impact of trauma, abuse, upbringing, role models, peers, and other environmental elements. Nor is the dis... ...deeply ingrained, maladaptive, lifelong behavior patterns". But the classificatory model the DSM has been using since 1952 is harshly criticized as... ...cal constructs and entities. The DSM-IV-TR distances itself from the categorical model and hints at the emergence of an alternative: the dimensio... ... run) were functions able to operate on structures. This phase was followed by the "relational" organization of data (a primitive example of which i... ...egories", or "the collective unconscious". Computers and their programming evolve. Relational databases cannot be integrated with object oriented o...

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...tion that a material body cannot collapse to a point, and therefore such a model is inadequate. A more realistic model must be sought in terms of a no... ...e substantial supposition that the under action of gravitational waves the model will behave like a harmonic oscillator where the forcing power is in ... ...r made calculations and theoretical propositions for the behaviour of this model. This model is known as the quadrupole mass-detector [17]. The Weber ... ... Earth’s gravitational feld (purely geophysical factors). The mathematical model for such an antenna consists of two free test-particles moving on nei... ...d a real metaphysical property of a substance, in an effort to support his relational account of space-time. Leibniz’s defnition of vis viva as a real... ...s whether it does really make sense to speak of either a substantival or a relational account of space-time. Since diametrically opposite views of thi... ..., maybe it would make sense to investigate whether both a substantival and relational space-time is a possibility. This two-level approach seems not t... ...only well-founded quantities of motion are relative ones and space-time is relational, whereas, at the substance level, the only well-defned quantitie... ...context of a mechanical Universe. Specifcally, I pro- posed a substantival-relational account of space-time and a mechanism residing in the substance ...

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...am Vaknin The Viennese neurologist, Sigmund Freud, was among the first to offer a model of psychological development in early childhood (within th... ...ce the child's conception and estimation of the self across many years. The working models of the self derived from early mother-child inter-action ... ...he aforementioned constant comparison between them) form what Bowlby calls "working models". These are constantly updated representations of both th... ...and of Meaningful Others (what I call Auxiliary Others). The narcissist's working models are defective. They pertain both to his self and to ALL o... ...rces the narcissist to resort to crude abstractions (imagine the number of working models he needs!). The narcissist is forced to dehumanise, obj... ...ie to drive theory. 'Schizoid' tends to be employed diagnostically by adherents of relational models [Fairbairn, Guntrip], who are interested in ar... ...University Press, 1983) Klein, in effect, said that drives (e.g., the libido) are relational flows. A drive is the mode of relationship between an...

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...TH .......... 27 FIGURE 30: INTERNATIONAL LOGISTICS PLATFORM (ILP) SIMPLE MODEL SUGGESTION ............................................................. ... When considering external restraints to growth, the need for “development models”, “financing channels”, “trained personnel to offer professional lo... ...ystems in their economy (Figure 21). Lack of successf ul develop ment models Poor financing capabilit y and lack of financing channels Lac... ...t at recent changes in globalization, business practices and supply chain models with anecdotal reference. For instance, whereas many manufactures i... ...ustry are coming from changing global value chains, and emerging business models. Yet with limited education/training resources and few models avail... ...s concept goes beyond the “single point of contact”, to include providing relational information network that allows the logistics provider to indep...

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...ubject to determinism, because we cannot avoid introjecting the behavioral models our parents transmit to us. But we are also capable of freedom, in ... ...tter understand what I am saying if I outline my metapsychological topical model. Metapsychological Model The I Person is made up of the SELF a... ...menological I, instead, contains the Psychological I, the Corporeal I, the Relational I, the Environmental or Psychosocial I and of all the other po... ...ERSON Corporeal I Phenomenological I Psychological I Relational I etc. 45 To summarize, we have the SELF, on one hand, and... ...f the I Person’s need for freedom, autonomy and joy. Metapsychological Model: SELF Personal SELF and Cosmic SELF I PER... ...ERSON Corporeal I Phenomenological I Psychological I Relational I etc. 49 A human being has the ability, over time, to... ...scendental structure, a psychological structure, a somatic structure and a relational structure that is completely different for each human being. ... ...n history, yes: the I Person, the Psychological I, the Corporeal I and the Relational I are all present at the time of conception. 79 SY... ...ble; you know very well whether you have joy in your life. I am proposing a model of actions you can take to reach joy, and you can immediately see i...

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...istory shows that the box had competitors—and today they are back. The early models of commercial (as compared to academic) computing assumed that the... ...gram- ming. The PC of the 1980s—the parent of today’s PC—diverged from these models, but the result was by no means a foregone conclusion. Internet us... ...ting a resurgence of The Rise and Stall of the Generative Net 8 the initial model of bundled hardware and software that is created and con- trolled b... ...nformation services were built around very different tech- nical and business models. Their designs were much easier to secure against il- legal behavi... .... All software was bundled with the machine rental as part of IBM’s business model, which was designed to offer comprehensive computing solutions for t... ... than static tables of numbers generated through the use of calculators, and relational databases put index cards and more sophisticated paper-based fi... ... ponents including administration tools, commercial quality spellchecker and relational database.” OpenOffice.org, http://www.sun.com/software/star/open...

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... last in a string of resounding failures which cast in doubt the business model underlying digital content. Everything seemed to have gone wrong: th... ...nt"). This further alienated the few potential readers left. The opposite model of "viral" or "buzz" marketing (by encouraging the dissemination of ... ...alon and Britannica.com) have been experimenting with payment and pricing models. But this is besides the point. Whether in the form of subscription ... ...l of traffic) to convince their owners to revert to a monthly hosting fee model. With Lycos in trouble in Europe, Tripod may well follow suit shortl... ...dy shifting to the Web. Non-fiction and textbooks will follow. Alternative models of pricing are already in evidence (author pays to publish, author ... ... strings of symbols ("Hilton"). These meta-tags (arranged in semantic and relational "ontologies" - lists of metatags, their meanings and how they re... ... strings of symbols ("Hilton"). These meta-tags (arranged in semantic and relational "ontologies" - lists of metatags, their meanings and how they r...

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... greater length afterward. one arouses a permanent confrontation with the models and, in fact, a self repressing of the temptation of an exhibition o... ...isciplinary crossroads, as an intercultural competence. It offers a social model of equilibrium that accentuates the extremes. The acceleration of th... ... of the Romanian postmodernity”. The poet “has fixed to himself a lyrical model and succeeded in making it accepted, today, as a 23 lyrical model... ...or (Marinetti, Apollinaire). What has really remained faithfully to the models/ idols, if not to say what is abandoning them? “The everlasting you... ...not to say what is abandoning them? “The everlasting youth of the eternal models is an inept sentence, come out from narrow and lazy minds”, Paul Za... ...t be overview and to mention him is something spontaneous that comes as a relational requirement of time. He gives and individualizing measure for th...

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...s the construction of an ad-hoc mini theory. Reality has to be thoroughly surveyed, models constructed, one of them selected (on empirical or aesth... ...instances of the Principal-Agent Problem. Economists would do well to discard their models and go back to basics. They could start by asking: Why d... ...rring well, and hoping for the best. No one, for instance, offered a linear revenue model of how to translate "eyeballs" - i.e., the number of visit... ...hancing event. If we had a computer the size of the Universe that could infallibly model it, we would have been able to predict which events will i... ... run) were functions able to operate on structures. This phase was followed by the "relational" organization of data (a primitive example of which i... ...egories", or "the collective unconscious". Computers and their programming evolve. Relational databases cannot be integrated with object oriented o... ...ds, or to strings of symbols ("Hilton"). These meta-tags (arranged in semantic and relational "ontologies" - lists of metatags, their meanings and ... ...o it, whether true or false, valid or invalid, sound or unsound - it is objective. Relational Sentences pertaining or relating to relations betwee... ... objects (a meta level which incorporates the objective). Certain performatives are relational (scroll below for more). Software is relational - an...

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...s the construction of an ad-hoc mini theory. Reality has to be thoroughly surveyed, models constructed, one of them selected (on empirical or aesth... ...instances of the Principal-Agent Problem. Economists would do well to discard their models and go back to basics. They could start by asking: Why d... ...rring well, and hoping for the best. No one, for instance, offered a linear revenue model of how to translate "eyeballs" - i.e., the number of visit... ...hancing event. If we had a computer the size of the Universe that could infallibly model it, we would have been able to predict which events will i... ... run) were functions able to operate on structures. This phase was followed by the "relational" organization of data (a primitive example of which i... ...egories", or "the collective unconscious". Computers and their programming evolve. Relational databases cannot be integrated with object oriented o... ...ds, or to strings of symbols ("Hilton"). These meta-tags (arranged in semantic and relational "ontologies" - lists of metatags, their meanings and ... ...o it, whether true or false, valid or invalid, sound or unsound - it is objective. Relational Sentences pertaining or relating to relations betwee... ... objects (a meta level which incorporates the objective). Certain performatives are relational (scroll below for more). Software is relational - an...

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...alize the Hilbert's for/mal/ization of geometry: by constructing an anti-model, which doesn't respect any of his 20 axioms! (F. Smarandache, <Parad... ...he degradation.) Dante was Florentine (but not Smarandache)! I am a model of unmodeled artist. An anti-Goethe and non-Faust. A sacerdotal si... ... psychological processes in connection with mathematics. D) Mathematical Modeling of Psychological Processes: a) Improvement of Weber's and Fechner... ...adictory. Nature's essence is antonymic. J) Logical and Combinatory Modeling in Experimental Literature: a) An Avant-garde Literary Movement, ... ...ting logics we propose the Neutrosophic Logic to represent a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined, unknown... ...ski, and others), system of interrogative expressions and their answers. Relational Logic (Pierce 1870, 1882) is a formal study of the properties of...

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...nswers, made you want to be alive. Of course you recognize me. I am your inspiration, your role model, your saviour, your leader, your best friend, ... ...ct, so that's exactly what I become. Not the little awkward toddler that I was, but my mother's model child. Not the brave and curious little perso... ...Think about anomic societies and periods of history such as Hitler's Germany or Stalin's Russia. Model citizens in these hellish environments were t... ...he success or failure of treatment modalities. This form of "reverse engineering" of scientific models is not unknown in other fields of science, n... ...pe, the plasticity of the brain and the psychological impact of trauma, abuse, upbringing, role models, peers, and other environmental elements. No... ...ly winning it, or being singled out. Criterion NINE Displays extreme shyness, lack of any real relational connections, is publicly self-effacing i...

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...l red-shift’ is a complete blunder not only because he used Newton’s obsolete model of Gravity, and this blunder was further covered up by including... ...a natural process of logical mechanical dynamics. Once you connect these two models: you can see that they are actually describing the same thing. ... ...tudies it mechanically. This is a basic weakness in all scientific theories, models, knowledge and exploration. It was also Einstein’s basic mista... ...lit; or an unsplit Totality of Actual Infinity. The reason why the latest model of how Science sees the end of the Universe stops short of the l... ...an only bow, and show the direction in which it is going. However, the latest model of the Universe that Science has developed does prove that Time ... ...as an integrated totality. But what is crucial to understanding the present relational dynamic between tools and us; is how tools first changed ou... ...s of weaknesses. These weaknesses may be physical, emotional, mental, sexual, relational, genetic, etc. ANY weakness they find: they exploit: syste...

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...ythical man and as an artist of his life, and I want to take him as a role model for my own life. When Homer speaks of the Ulysses who assaults t... ...er than even love can bind them. The Ulysseans have chosen Ulysses as a model, and Ulysses did not stay long in the cave of Polyphemus or in the ... ...ike the ones that artists and poets had in the past. We cannot take as role models the artists of today, because they have mostly decided to smash al... ...ule: “Ora et labora” {Pray and Work}?). These people had before them role models of people who searched for the encounter and fusion with the Absol... ...rched for the encounter and fusion with the Absolute, but they had no role models of people who look for and create a fusion with a human You. This... ...an beings in fact do transform biochemical energy and mechanical energy in relational, individual and cultural energy; they synthesize, within thems...

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...trojected the voices of meaningful and authoritative others - parents, role models, peers - that consistently and convincingly judged him to be no g... ...being singled out. Criterion NINE Displays extreme shyness, lack of any real relational connections, is publicly self-effacing in the extreme, is in...