Approximate Solution of Fuzzy Matrix Equations with LR Fuzzy Numbers

• 作者: Dequan Shang Xiaobin Guo
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: LR FUZZY NUMBERS MATRIX Analysis FUZZY MATRIX EQUATIONS FUZZY APPROXIMATE Solution
• 年，卷（期）: 2012,（6）
• 页码范围: 373-378
• 页数: 6页
• 分类号: O1

摘要

In the paper, a class of fuzzy matrix equations AX=B where A is an m × n crisp matrix and is an m × p arbitrary LR fuzzy numbers matrix, is investigated. We convert the fuzzy matrix equation into two crisp matrix equations. Then the fuzzy approximate solution of the fuzzy matrix equation is obtained by solving two crisp matrix equations. The existence condition of the strong LR fuzzy solution to the fuzzy matrix equation is also discussed. Some examples are given to illustrate the proposed method. Our results enrich the fuzzy linear systems theory.