Advances in fuzzy quotient space theory
Renbing Lin, Jiyi Wang · 2008
This paper is devoted to the discussion of necessary and sufficient conditions for isomorphism(the same structure) of fuzzy sets. ε - similarity of fuzzy sets is proposed. A new method to prove ε - similarity of fuzzy equivalence relation is given, which is more generalized than those in the references. Some conclusions further about fuzzy quotient space for arbitrary threshold are extended.