A NOTE ON (∈,∈Vq)-FUZZY EQUIVALENCERELATIONS AND INDISTINGUISHABILITY OPERATORS

摘要

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