(max-·)算子下模糊矩阵分解研究  

Research on Fuzzy Matrix Decomposition under (max-·) Operator

作　　者：关却东智 GUANQUE-dongzhi(Qinghai Nationalities University,Xining 810008,China)

机构地区：[1]青海民族大学预科教育学院,青海西宁810008

出　　处：《西北民族大学学报（自然科学版）》2023年第1期6-9,共4页Journal of Northwest Minzu University(Natural Science)

摘　　要：论述模糊矩阵分解与模糊关系方程的内在一致性,提出模糊关系方程应用(max-·)算子时是否有解的简便判别方法,给出有解时最大解的一些性质.通过简便判别论证了模糊关系方程中的A,B具有特殊性质时,其解也具有特殊性质.In the present article the intrinsic consistency of fuzzy matrix decomposition and fuzzy relation equation are firstly discussed,and a simple method for determining is presented whether there is a solution for the application of max-funeral operator for fuzzy relation equation.Additionally,some properties of the maximum solution are provided.Finally,when A and B have special properties,their solutions also have corresponding properties.

关 键 词：模糊矩阵分解 模糊关系方程 最大解 幂等矩阵 

分 类 号：O159[理学—数学]