摘要
把从传递、强传递到泛传递、全传递的系列传递类概念进一步推广 ,给出λ型m 圈传递的定义 .讨论它的等价条件、图论特征 ,实现了circularlym dominating矩阵的传递性刻画 .讨论与截矩阵的性质一致问题 ,证明了λ型m 圈传递是模糊矩阵与其截阵一致的性质 .对系列传递类模糊矩阵在与截矩阵的性质一致问题上的表现进行总结 ,并给出了circularlym dominating矩阵较为全面的刻画 .
m circle transitivity with λ form is introduced based on several concepts used commonly on the transitivity of fuzzy matrices. Several necessary and sufficient conditions are studied as well as some other properties. Then, by studying the graph theoretical character, the equivalence of m circle transitivity with λ form fuzzy matrix and circularly m dominating fuzzy matrix is proved. At last, the consistency for the properties between m circle transitivity with λ form fuzzy matrix and their cut matrix is studied in detail. By doing these, a new kind of consistent properties of fuzzy matrix is obtained, and the system of transitive related fuzzy matrices is expanded.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2002年第2期143-147,共5页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目 (6 99740 0 6
6 0 1740 13)
