摘要
本文从Fuzzy方阵与其截阵在周期和指数上的关系出发,得到了Fuzzy阵周期与指数的几个性质,并对个别已有结果进行了更为简洁的证明;对可控阵周期的图论特征进行了讨论,指出可控阵的极小强支的周期不大于2,从而可控阵的周期也不大于2。
In this paper, some properties on tile periodicity and index of a fuzzy matrix arestudied by using the relationship of periodicity and index between a fuzzy matrix and its cutsmatrices. And several gotten results are proved more laconically. We discuss the graphiccharacteristics of a controllable fuZZy matrix, indicating the fact that the periodicity of aminimal strong component of a controllable fuzzy matrix isn't greater than 2. So theperiodicity of a controllable matrix isn't greater than 2 either.
出处
《青岛大学学报(自然科学版)》
CAS
1999年第3期19-22,共4页
Journal of Qingdao University(Natural Science Edition)
关键词
周期
指数
极小强支
模糊矩阵
模糊图
Fuzzy matrix, Periodicity, index
Fuzzy qraph
minimal strong component.