迷離有向圖形

作者:吳森原、陳竹村(國立臺灣師範大學理學院數學系)

摘要：

在本文中，我們首先討論迷離集合的各種代數性質，然後我們利用一個集合的迷離集合與其迷離關係來定義迷離有向圖形。我們討論了迷離有向圖形的各種代數性 質，然後定義一個集合的較佳迷離有向圖形。我們證明了二個較佳迷離有向圖形的合成之誘導有關圖形等於其各較佳迷離有向圖形的誘導有向圖形之合成（定理 2.4）。

《詳全文》

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).