Inconsistent LR Fuzzy Matrix Equation

Xiaobin Guo and Lijuan Wu

Mathematical Problems in Engineering, 2020, vol. 2020, 1-9

Abstract:

In this paper, the inconsistent LR fuzzy matrix equation 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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4065809

DOI: 10.1155/2020/4065809

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