The Compositions of Fuzzy Digraphs Author: Sun-Yen Wu(Institute of Mathematics College of Sciences), Yah-Ming Kao(Institute of Mathematics College of Sciences)

Abstract：

In this paper, we first define four types of compositions of fuzzy relations and then we use these relations to define the compositions of fuzzy digraphs, better fuzzy digraphs and digraphs. We prove that these compositions are associative and distributive with respect to conjunction and disjunction. We also show that some compositions are associative in digraphs (Theorem 12).

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