Transforms of Undefined Sets, Undefined Structures, and Undefined ¿-Systems
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Transforms of Undefined Sets, Undefined Structures, and Undefined ¿-Systems

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The concept proposed by Zadeh.L.A.[82] defining a fuzzy subset A of a given universe X characterizing the membership of an element x of X belonging to A by means of a membership function µA etc., in handling the imprecise real life situations mathematically. Now, several branches of fuzzy mathematics like fuzzy algebra, fuzzy topology, fuzzy control theory, fuzzy measure the- ory etc. have emerged. But in the decision making, the fuzzy theory takes care of membership of an element x only, that is the evidence of x belonging to A. It does not take care of the evidence against x belonging to A....