Inconsistent LR Fuzzy Matrix Equation. (2nd December 2020)

• Record Type: Journal Article
• Authors: Guo, Xiaobin; Wu, Lijuan
• Other Names: Zhang Li-Tao Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-12-02
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/4065809
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, the inconsistent LR fuzzy matrix equation A X ˜ = B ˜ is proposed and discussed. Firstly, the LR fuzzy matrix equation is transformed into two crisp matrix equations in which one determines the mean value and the other determines the left and right extends of fuzzy approximate solution. Secondly, the approximate solution of the LR fuzzy matrix equation is obtained by solving two crisp matrix equations according to the generalized inverse of crisp matrix theory. Then, sufficient conditions for the existence of strong LR fuzzy approximate solution are given. Finally, some numerical examples are given to illustrate our proposed method.