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Fuzzy Digraphs Author: In-Chu Chen, Sun-Yen Wu(Institute of Mathematics College of Sciences)

Abstract：

In this article, we first discuss the various algebraic properties of fuzzy sets, and then define a fuzzy digraph by the fuzzy set and the fuzzy relation of the set. We also discuss the various algebraic properties of fuzzy digraphs. We define a better fuzzy digraph and prove that the induced digraph of the composition of two better fuzzy digraphs equals to the composition of two induced digraphs of their better fuzzy digraphs (Theorem2.4).

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