| 线性Fuzzy方程组(A~)(x~)=(b~)的解 |
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| 引用本文： | 王立社.线性Fuzzy方程组(A~)(x~)=(b~)的解[J].模糊系统与数学,2006,20(1):62-68. |
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| 作者姓名： | 王立社 |
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| 作者单位： | 湖州师范学院,理学院,浙江,湖州,313000 |
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| 基金项目： | 湖州师范学院校科研和教改项目 |
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| 摘 要： | 重点研究线性Fuzzy方程组Ax=b的解，其中矩阵A和向量5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Ax=b没有解。本文以实广义逆矩阵为工具，给出了Ax=b的六个解，证明了它们都是R^n上的Fuzzy向量。
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| 关 键 词： | 有限Fuzzy数 线性Fuzzy方程 广义逆矩阵 |
| 文章编号： | 1001-7402（2006）01-0062-07 |
| 收稿时间： | 2005-01-13 |
| 修稿时间： | 2005-09-25 |
The Solution of Systems of Linear Fuzzy Equations (A~)(x~)=(b~) |
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| WANG Li-she.The Solution of Systems of Linear Fuzzy Equations (A~)(x~)=(b~)[J].Fuzzy Systems and Mathematics,2006,20(1):62-68. |
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| Authors: | WANG Li-she |
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| Institution: | Faeulty of Scienee, Huzhou Teaehers College, Huzhou 313000, China |
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| Abstract: | 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. |
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| Keywords: | Finite Fuzzy Number Linear Fuzzy Equations Grneralized Inverse Matrix |
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