GENERALIZED SET-THEORETIC OPERATIONS ON GENUINE SETS

Yıl 2005, Cilt: 34 , 1 - 6, 01.01.2005

Mustafa Demirci

Öz

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 (Fuzzy Sets and Systems 105 (1999), 377-384), is
proposed as an open question in his paper Some notices on genuine
sets (Fuzzy Sets and Systems 110 (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.

Anahtar Kelimeler

Fuzzy sets, Fuzzy Logic, Various kinds of fuzzy set, Type-m fuzzy sets, Genuine sets

Kaynakça

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