[1]赵万忠,赵颖涛..对偶模糊矩阵方程[J].郑州大学学报(工学版),2001,22(02):23-25.[doi:10.3969/j.issn.1671-6833.2001.02.007]
　ZHAO Wanzhong,Yingtao Zhao.Dual fuzzy matrix equations[J].Journal of Zhengzhou University (Engineering Science),2001,22(02):23-25.[doi:10.3969/j.issn.1671-6833.2001.02.007]

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对偶模糊矩阵方程()

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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

22

期数:

2001年02期

页码:

23-25

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Dual fuzzy matrix equations

作者:

赵万忠; 赵颖涛.

郑州工业大学数理力学系,, 河南雪城科技股份有限公司,

Author(s):

ZHAO Wanzhong; Yingtao Zhao

关键词:

对偶合成;  对偶模糊矩阵方程;  最小解;  极大解;  最大解矩阵

Keywords:

dual synthesis;  dual fuzzy matrix equations;  minimal solution;  Great solution;  Maximum solution matrix

DOI:

10.3969/j.issn.1671-6833.2001.02.007

文献标志码:

A

摘要:

讨论了对偶模糊矩阵方程解的性质,提出了最小解M的概念,给出了操作十分简便的表上作业求法;提出了极大解Xi的概念,并给出了对偶模糊矩阵方程解的结构定理Я=∪ki=1{X|MXXi}与有解的充分必要条件,Я≠ΦM是其最小的解.通过求解极大解矩阵及诸最简方程的极大解组合之交的最简化,给出了求诸极大解的具体方法,从而为对偶模糊矩阵方程建立了完整的理论体系.

Abstract:

The properties of the solution of the dual fuzzy matrix equation are discussed, the concept of the minimum solution M is proposed, and the method of on-table operation is given that is very simple to operate. The concept of maximum solution Xi is proposed, and the structural theorem Я=∪ki=1{X|MXXi} and the solution of the dual fuzzy matrix equation are given, and Я≠ΦM is the smallest solution. By solving the maximum solution matrix and the maximum solution combination of the simplest equations, the specific method of solving the maximum solution is given, and a complete theoretical system is established for the dual fuzzy matrix equation.

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