An Iterative Method for Solving Unsymmetric System of Fuzzy Linear Equations

Abstract

Recently, the solution of Fuzzy Linear System of Equations (FLSE) has been studied by many authors in literature. In many cases, some suitable methods of Crisp Linear System of Equations (CLSE) are extended to compute the solution of FLSE. Here, we suggest a new iterative method for solving FLSE based on the Hermitian and Skew-Hermitian Splitting (HSS) method which HSS is a recently proposed iterative method for CLSE, where the coefficient matrix is a crisp unsymmetric matrix. In HSS method, the coefficient matrix is into two Hermitian and Skew-Hermitian matrices and the iterative solutions are obtained by solving two well-conditioned systems of equations instead of the original problem, sequentially. Our suggested method is converged to the solution for all kinds of FLSE problems with triangular or rectangular fuzzy numbers. To examine this method, numerical results of some problems are illustrated at the end of this paper