正传递模糊矩阵  

POSITIVE TRANSITIVE FUZZY MATRIXES

作　　者：谷云东[1] 李洪兴[1] 

机构地区：[1]北京师范大学数学系,北京100875

出　　处：《北京师范大学学报（自然科学版）》2001年第5期596-601,共6页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目 ( 69974 0 0 6)

摘　　要：通过提出正传递模糊矩阵的思想 ,推广了通常传递模糊矩阵的概念 ;研究了正传递模糊矩阵与强传递模糊矩阵的关系 ,讨论了正传递模糊矩阵与其截阵的性质一致问题 .此外 ,考虑了正传递模糊矩阵的幂序列的收敛性 .最后 ,进一步揭示了正传递模糊矩阵的图论特征 .A new idea of positive transitive fuzzy matrixes is proposed by means of generalizing transitive fuzzy matrixes that are well-known for us. The relationship between positive transitive fuzzy matrixes and transitive fuzzy matrixes is researched in detail as well as the consistency between positive-transitive matrixes and their cut matrixes. Besides, the convergence of power sequences on positive transitive fuzzy matrixes is considered. At last, the graph-theoretical characteristic of positive transitive fuzzy matrixes is revealed.

关 键 词：模糊矩阵 正传递性 图论特征 性质一致性 

分 类 号：O159[理学—数学]