摘要
本文证明了L-Fuzzy 幂等阵,L-Fuzzy 对角占优矩阵,L-Fuzzy 上(下)三角阵对幂的封闭性.得到了正则L-Fuzzy 上(下)三角矩阵的广义逆,也是上(下)三角矩阵的一个充分条件及L-Fuzzy 矩阵的传递闭包可实现的充分条件,以及讨论了L-Fuzzy 矩阵交、积的可实现性.
In this paper,It is shown that L-fuzzy jdempotent matrixes,L-fuzzy diagonallydominant matrixes and L-fuzzy upper(lower)triangular matrixes are closed underpower operation respectively.Two sufficient conditions are given,one is about thatgeneralized inverse matrix of a regular L-fuzzy upper(lower)triangular matrix isupper(lower)triangular matrix and another is about that transitive closure for anL-fuzzy matrix is realizable.At the end of this paper,the realizability of L-fuzzymatrixes for intersection and product is discussed.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1989年第3期101-106,共6页
Journal of Sichuan Normal University（Natural Science）
关键词
弱自反阵
广义逆矩阵
传递闭包
weakly reflexive matrix
generalized inverse matrix
transitive closure
