A Note on (Î, Î Ú q)-Fuzzy Equivalence Relations and Indistinguishability Operators  ABSTRACT  |  FULL TEXT

Authors : Muhammad İrfan ALİ, Feng FENG ,  muhammad SHABİR

Pages : 383-400

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Publication Date : 2011-03-01

Article Type : Research Paper

Abstract :In this paper insert ignore into journalissuearticles values(∈ , ∈∨q);-fuzzy equivalence relations are defined and some of their properties are studied. The partition of an insert ignore into journalissuearticles values(∈ , ∈∨q);-fuzzy equivalence relation is studied. It is shown that under a semibalanced mapping the preimage of an insert ignore into journalissuearticles values(∈ , ∈∨q);-fuzzy equivalence relation is an insert ignore into journalissuearticles values(∈ , ∈∨q);-fuzzy equivalence relation, whereas the image of an insert ignore into journalissuearticles values(∈ , ∈∨q);-fuzzy equivalence relation under a balanced mapping is an insert ignore into journalissuearticles values(∈, ∈∨q);-fuzzy equivalence relation. To conclude, insert ignore into journalissuearticles values(∈ , ∈∨q);-fuzzy indistinguishability relations are defined and some of their properties are studied.
Keywords : Fuzzy set, Fuzzy equivalence relation, Fuzzy G equivalence relation, Fuzzy partition, Fuzzy indistinguishability operator, 2000 AMS Classification 03 B 52