ABS Method for Solving Fuzzy Sylvester Matrix Equation
چکیده
The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation AX +XB = C where A = (aij) ∈ Rn×n , B = (bij) ∈ Rm×m are crisp Mmatrices, C = (cij) ∈ Rn×m is fuzzy matrix and X ∈ Rn×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.