Fuzzy矩阵复合运算的单调收敛性研究  

Study on Monotone Convergence of Fuzzy Matrix Composite Operation

作　　者：关却东智 索南仁欠 GUANQUEdongzhi;SUONanrenqian(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：《西北民族大学学报（自然科学版）》2020年第1期6-10,共5页Journal of Northwest Minzu University(Natural Science)

基　　金：青海省自然科学基金资助项目(2015-ZJ-905).

摘　　要：在“基于Fuzzy矩阵复合运算新定义的性质研究”的基础上,主要研究证明模糊矩阵在(max-·)算子复合运算下幂序列的单调恒等式与收敛原则,得出A无限收敛的充分必要条件,并引入几种特殊模糊矩阵并讨论其必要条件.Based on the previous work of Research on the Properties of New Definitions of Matrix Compound Operations(Conclusion 1,2),the monotone identities and convergence principles of power series of fuzzy matrices under operator compounding operations were proved in the supplementary.Therefore,the necessary and sufficient conditions for infinite convergence were obtained.Several special fuzzy matrices have been introduced and their necessary conditions were discussed.

关 键 词：幂序列 对角占优矩阵 复合运算 单调性 无限收敛 

分 类 号：O129[理学—数学]