摘要
文中给出 k-传递的概念 ,对 k-传递的等价条件、代数表示、分解合成、图的特征及性质进行研究 ,并从 k-传递阵与传递阵关系的角度研究传递阵 ,理清了几种不同形式的传递性定义之间的关系 ,得到了传递阵进一步地刻画。所得结果实现了传递阵的推广 ,为模糊矩阵各种传递性的进一步深入研究提供了新的视角。
In order to study transitivity more careflly, the k transitive fuzzy matrix is introduced in the paper, some equivalent propositions of a k transitive and the relation between k transitive and a transitive matrix are examined. A comprehensive description of the transitivity matrix is obtained. The results prove that k transitivity is more general than Max min transitivity; and is presents a new visual angle for the study of transitivity of fuzzy matrix at the same time.
