Representations of the extensions of many-valued equivalence relations
Two fundamental questions on the extensions of many-valued equivalence relations, whose solutions have a crucial concern for the applications of many-valued equivalence relations, axe explicitly stated to characterize the extensions of many-valued equivalence relations. Thereafter introducing the satisfactory solutions of these questions, the desirable characterizations of the extensions of many-valued equivalence relations are pointed out.
extension of many-valued equivalence relation many-valued equivalence relation fuzzy equivalence relation indistinguishability operator extension of indistinguishability operator extension of fuzzy equivalence relation