- Hacettepe Journal of Mathematics and Statistics
- Vol: 40 Issue: 3
- A Note on (Î, Î Ú q)-Fuzzy Equivalence Relations and Indistinguishability Operators ABSTRACT | FU...
A Note on (Î, Î Ú q)-Fuzzy Equivalence Relations and Indistinguishability Operators ABSTRACT | FULL TEXT
Authors : Muhammad Irfan Ali, Feng Feng , muhammad Shabir
Pages : 383-400
View : 14 | Download : 6
Publication Date : 2011-03-01
Article Type : Research
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