摘要
重点研究线性Fuzzy方程组=的解,其中矩阵和向量均以有限Fuzzy数为其元素。文中首先指出,使用扩展原理和Fuzzy数运算规则有时会导致=没有解。本文以实广义逆矩阵为工具,给出了=的六个解,证明了它们都是Rn上的Fuzzy向量。
This paper mainly investigated the solution of linear fuzzy equations Ax=b, in which the elements of matrix .4 and vector b are finite fuzzy number. In this paper, it is stated that applying the extension principle and the operational rule of fuzzy number to Ax=b may lead to no solutions. The author obtained six solutions of .Ax=b by using the tool of real generalized inverse matrix, and proved that they are all fuzzy vectors on R^n.
出处
《模糊系统与数学》
CSCD
北大核心
2006年第1期62-68,共7页
Fuzzy Systems and Mathematics
基金
湖州师范学院科研资金启动项目