在本文中,我们首先定义模糊关系的四种合成运算,然后利用这四种合成运算分别定义模糊有向图形,较佳模糊有向图形与有向图形的合成运算。我们证明了这些合成运算均具有结合性,且对于契合与析取均具有分配性。我们也证明了某些合成运算在有向图形上满足结合律(定理12)。
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).