A NOTE ON (∈ , ∈ ∨q)-FUZZY EQUIVALENCE RELATIONS AND INDISTINGUISHABILITY OPERATORS

Year 2011, Volume: 40 Issue: 3, 383 - 400, 01.03.2011

Muhammad İrfan Ali Feng Feng  muhammad Shabir

https://izlik.org/JA33EW39BJ

Abstract

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

https://izlik.org/JA33EW39BJ

Abstract

In this paper (∈ , ∈∨q)-fuzzy equivalence relations are defined and some of their properties are studied. The partition of an (∈ , ∈∨q)-fuzzy equivalence relation is studied. It is shown that under a semibalanced mapping the preimage of an (∈ , ∈∨q)-fuzzy equivalence relation is an (∈ , ∈∨q)-fuzzy equivalence relation, whereas the image of an (∈ , ∈∨q)-fuzzy equivalence relation under a balanced mapping is an (∈, ∈∨q)-fuzzy equivalence relation. To conclude, (∈ , ∈∨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

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