ABS Method for Solving Fuzzy Sylvester Matrix Equation

The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation AX + XB = C where A = (a_{ij} ) Rn*n , B = (b_{ij} ) Rm*m are crisp M-matrices, C = (c_{ij} ) Rn*m is fuzzy matrix and X R n*m is unknown,by applying a special algorithm based on a class of ABS algorithms called Huang algorithm. At first, we transform this system to an (mn)*(mn) fuzzy system of linear equations. Then, we convert this system to three (mn)*(mn) crisp linear systems of equations, and we solve them simultaneously by ABS algorithm.