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线性Fuzzy方程组=的解

The Solution of Systems of Linear Fuzzy Equations =
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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.
作者 王立社
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
关键词 有限Fuzzy数 线性Fuzzy方程 广义逆矩阵 Finite Fuzzy Number Linear Fuzzy Equations Grneralized Inverse Matrix
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参考文献6

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