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Abstract

The paper considers the general dual fuzzy matrix equation $A \tilde{X} + \tilde{B} = C \tilde{X} + \tilde{D}$ in a complete matrix method. We firstly introduce the fuzzy matrix and its operation with crisp number. Then we convert the dual fuzzy matrix equation to a model which is a crisp function matrix equation. The fuzzy approximate solution of dual fuzzy matrix equation is obtained by solving the model. The existence condition of the strong fuzzy solution is also discussed. In addition, we investigate the LR dual fuzzy matrix equation by the same way. Finally, some examples are given to illustrate our proposed method.

Keywords

Fuzzy numbers fuzzy numbers matrix dual fuzzy matrix equations fuzzy approximate solutions

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