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This paper deals with a general α-decomposition problem of fuzzy relations, which can be stated as follows: given a fuzzy relation R∈F(X×Y), determine two fuzzy relations Q∈F(X×Z) and T∈F(Z×Y) such that R=QαT, where X (resp. Y) is a finite set. Firstly we point out that every fuzzy relation R is always generally α-decomposable, and give an algorithm to construct Q and T with R=QαT for a given R. Secondly,...
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