【作者】 谷云东； 李洪兴； 刘文斌；

【Author】 GU Yun-dong, LI Hong-xing, LIU Wen-binDepartment of Mathematics,Beijing Noraial University, 100875,Beijing,China; Department of Mathematics, Ocean University of Qingdao,266071, Qingdao,Shandong, China

【机构】 北京师范大学数学系； 青岛海洋大学数学系；

【摘要】 推广λ型m-圈传递给出零型m-圈传递的概念。利用截矩阵的零型m-圈传递性可实现m-Cd矩阵的等价刻画,零型,m-圈传递是不可模糊化,但可分明化的性质,在零型m-圈传递模糊矩阵的有向图中,每一个圈都与一个长为m的圈相接,零型m-圈传递模糊矩阵的周期可以是任意的自然数。更多还原

【Abstract】 M ranks transitivity in zero form is introduced by means of generalizing M ranks transitivity in A form fuzzy matrix. The relationship between M ranks transitivity in zero form fuzzy matrix and M ranks transitivity in A form fuzzy matrix is researched in detail as well as the consistency between M ranks transitivity in zero form fuzzy matrix and their cut matrixes. Besides that, the convergence of power sequences on M ranks transitivity in zero form fuzzy matrix and their graph-theoretical characteristics are considered at last.更多还原