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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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...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... ...nteractive, it is application dependent and cannot be defined universally. Some outlines for selecting an appropriate connector has been provided by... ...h more efficient. Genetic algorithms (GAs) are built upon the mechanism of the natural evolution of genetics. GAs emulate the biological evolutiona... ... with the binary operations of maximum and minimum, denoted by ⊕ and ⊗. For any natural n > 0, B (n) denotes the set of all n-dimensional column vec... ... 1 - [ [ H ]] ( 5 ) if H is any well-formed formula of the set theoretic languages we just are constituting. Quite standard, too, is the unde... ... have introduced a concept of fuzzy relation calculus to the problems of image processing. They have discussed fuzzy relation based on data compres... ...lie Sanchez [84] has studied truth qualification and fuzzy relations in natural languages and its applications to medical diagnosis. A biomedical ap... ...Equations, Fuzzy Sets and Systems, 36 (1990) 277-291. [9, 66] 78. Pedrycz, W., Processing in Relational Structures: Fuzzy Relational Equations, Fuz...

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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... ...phic Probability and Statistics University of New Mexico - Gallup 1-3 December 2001 (sec... ...od. My hypothesis is that no theory is exempted from paradoxes, because of the language imprecision, metaphoric expression, various levels or meta-l... ... 3.2 General Examples: Let A and B be two neutrosophic sets. One can say, by language abuse, that any element neutrosophically belongs to any set, ... ...trosophy, Neutrosophic Logic . 1991 MSC: 03B99, 03E99, 60A99 1 Introduction The processing of uncertain information has always been a hot topic of res... ...neng’s knowledge and outstanding views. When we see pennant and wind we will naturally believe we are right in our consciousness, however it is su... ...o Xiang) begins with: “Dao, daoable, but not the normal dao.” Referring to the natural law, we can say it is dao, but it doesn’t mean what we say. W... ...lse, as bivalent extremes, it is necessarily i% indeterminate (=achievable, to outline its probabilistic connotation), to the effect that, t+i+f [ 3... ... human values. We start by looking in Section 2 at how we define values, and outline in Section 3 an existing science of values. Section 4 introdu...