Title: The isomorphic fuzzy relations and fuzzy quotient spaces
Abstract:This paper discussed the relation between FS and QS by theory of the isomorphism and homomorphism of fuzzy relations, and a main conclusion was reached. First, the following two statements are equival...This paper discussed the relation between FS and QS by theory of the isomorphism and homomorphism of fuzzy relations, and a main conclusion was reached. First, the following two statements are equivalent: (1) a group of fuzzy equivalence relations which are isomorphic for each other given in universe X; (2) a fuzzy quotient space [X] and a fuzzy quotient structure space ([X],d) given in X. Second, the construction of the fuzzy quotient space is given. The preliminary results have established the connection between fuzzy sets and quotient spaces.Read More
Publication Year: 2005
Publication Date: 2005-08-16
Language: en
Type: article
Indexed In: ['crossref']
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