Fuzzy相似矩阵方程  

Fuzzy similarity matrix equation

作　　者：余泽昌[1] 

机构地区：[1]武汉水运工程学院基础部

出　　处：《模糊系统与数学》1991年第1期90-92,共3页Fuzzy Systems and Mathematics

摘　　要：文献[1]提出了变次Fuzzy相似矩阵方程的概念,并且指出它有解的充要条件是方程Y■■H=S有解,且其解中含有1型阵。本文将给出方程Y■H=S有解且其解中含有1型阵的充要条件,从而完满地解决了变次Fuzzy相似矩阵方程的解的存在性问题。Let Y be an unknown fuzzy similarity matrix of the n-th order and H=(h_(ij))_(n×n)、S=(S_(ij))_(n×n) be given, then the fuzzy relation equation Y·H=S (1) is called the fuzzy similarity matrix equation. Write A=(a_(ij))_(n×n), where , B=(b_(ij))n×n, where (i, j=1, 2, …n). Theorem 1 The equation (1) has a solution iff the B is its maximal solution. Theorem 2 The equation (1) has a solution R and R^2=R iff the B is its solution and B^2=B.

关 键 词：Fuzzy相似矩阵方程 解 存在性 

分 类 号：O159[理学—数学]