Fuzzy矩阵的加权Moore-Penrose逆  

Weighted Moore-Penrose Inverse of Fuzzy Matrix

作　　者：张荣娥[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《数学的实践与认识》2009年第22期123-127,共5页Mathematics in Practice and Theory

基　　金：浙江省教育厅科研计划项目(Y200803551)

摘　　要：给出了Fuzzy矩阵加权Moore-Penrose逆AM+N的定义,研究了Fuzzy矩阵加权Moore-Penrose逆AM+N的存在性问题,证明了当权矩阵M,N满足一定条件时,AM+N存在且A+MN=AT的充要条件是ANATMA≤A,推广了Fuzzy矩阵和Boolean矩阵的相应结果.The difination of weighted Moore-Penrose inverse A＋MN for Fuzzy matrix is given, the existence for A^＋MN are studied, some necessary and sufficient conditions for existence of A^＋MN are shown under certain conditions on M,N, some results of Fuzzy matrix and Boolean matrix are popularized.

关 键 词：FUZZY矩阵 对称矩阵 加权Moore—Penrose逆 

分 类 号：O151.21[理学—数学] O159[理学—基础数学]