GENERALIZED SET-THEORETIC OPERATIONS ON GENUINE SETS

Authors : Mustafa DEMİRCİ

Pages : 1-6

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Publication Date : 2005-01-01

Article Type : Research Paper

Abstract :The determination of set-theoretic operations on genuine sets, other than the operations $\subseteq^g$, $=^g$, $^{gc}$, $\cap^g$ and $\cup^g$ presented in the author’s paper Genuine sets insert ignore into journalissuearticles values(Fuzzy Sets and Systems 105 insert ignore into journalissuearticles values(1999);, 377-384);, is proposed as an open question in his paper Some notices on genuine sets insert ignore into journalissuearticles values(Fuzzy Sets and Systems 110 insert ignore into journalissuearticles values(2000);, 275-278);. The present paper gives a desirable answer to this problem, and introduces a general technique for the construction of set-theoretic operations on genuine sets. Furthermore, two examples are designed to demonstrate two significant special classes of set-theoretic operations on genuine sets.
Keywords : Fuzzy sets, Fuzzy Logic, Various kinds of fuzzy set, Type m fuzzy sets, Genuine sets