Approximate Solution of Fuzzy Sylvester Matrix Equations

In paper the fuzzy matrix equation AX̃+X̃B=C̃ is investigated. The fuzzy matrix equation is converted to a fuzzy linear system. Then the fuzzy linear system is extended into a crisp system of linear equations. The fuzzy approximate solution of the original fuzzy systems is derived from solving the crisp function linear equations. An example is given to illustrate the proposed method finally.