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.

中文翻译：

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不一致的LR模糊矩阵方程

本文提出了不一致的LR模糊矩阵方程 提出并讨论。首先，将LR模糊矩阵方程转化为两个清晰矩阵方程，其中一个确定平均值，另一个确定模糊近似解的左右扩展。其次，根据广义矩阵定理的逆解，通过求解两个线性矩阵方程，得到了LR模糊矩阵方程的近似解。然后，给出了存在强LR模糊近似解的充分条件。最后，给出了一些数值例子来说明我们提出的方法。