强反传递模糊矩阵及其性质

Strong Anti-transitive Fuzzy Matrix and Its Properties

首先探讨反传递模糊矩阵在网络分析中的意义,进而引入强反传递模糊矩阵概念,给出它的性质及其在网络分析中的应用;其次,研究强反传递模糊矩阵的等价刻画、图论特性、截阵性质、标准形以及周期与指数等问题;最后,给出的判定方法及强反传递圈的求法。

Firstly,the significance of anti transitive matrix in network analysis is discussed.On this basis,the definition of strong anti-transitive matrix is proposed.Then,its equivalent characterizations,graphic characteristic,cut-matrix properties,standard form period and index are studied.Finally,an algorithm for finding the strong anti-transitivc circle is proposed.