基于Fuzzy矩阵复合运算新定义的性质研究  

Research on the new definition of compound operation based on Fuzzy matrix

作　　者：关却东智 索南仁欠 Guan Que-dong zhi;Suo Nan-ren qian(School of Mathematics and Statistics,Qinghai Normal University,Xining 810008,China;Graduate Student Department,Qinghai Normal University,Xining 810008,China)

机构地区：[1]青海师范大学数学与统计学院,青海西宁810008 [2]青海师范大学研究生院,青海西宁810008

出　　处：《青海师范大学学报（自然科学版）》2018年第3期18-20,共3页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：青海省自然科学基金资助项目(2015-ZJ-905)

摘　　要：通过经典集合的性质平行研究Fuzzy集合的某些性质,由Zadeh算子下Fuzzy矩阵的复合运算不满足交换律,提出新定义.对复合运算的有关性质进行了研究,得到了满足交换律的充分条件,与Zadeh算子的复合运算比较发现新定义不具有λ-截距阵的某些性质而得到有关结论.In this paper,some properties of Fuzzy sets are discussed and summarized by some properties of classical sets,and a new definition is proposed because the composite operation of matrix under Zadeh operator does not satisfy the commutative law. On the one hand,some properties of Fuzzy compound operation are studied,and sufficient conditions are obtained to satisfy the commutative law. On the other hand,compared with the compound operation of Zadeh operator,it is found that the new definition does not have some properties of λ - intercept matrix and so on.

关 键 词：FUZZY关系 并集λ-截距阵 复合运算 

分 类 号：TN711.6[电子电信—电路与系统]