A Preconditioning Algorithm for the Positive Solution of Fully Fuzzy Linear System

A linear system of equations is called a fully fuzzy linear system (FFLS) if all the quantities of this system are fuzzy numbers. We consider the positive solution of FFLS, where the modal value (center) matrix is positive definite and we develop a new approximate procedure based on preconditioning. We observe from the numerical results that our method is more accurate than the iterative Jacobi, Gauss-Seidel and Successive Over-Relaxation (SOR) methods when finding approximate solutions of FFLS.