Defuzzification Method For Solving Fuzzy Linear Systems

In this article it is attempted to develop a method for solving an arbitrary general fuzzylinear system by using the weighted metric. using the distance between two fuzzy numbers the best and nearest approximation fuzzy symmetric vector can be obtained.defuzzification can replace the nx n fuzzy linear system with two n x n crisp linear systems.consequently to obtain the best approximate solution for n x n fuzzy linear system theresearcher must solve two nx n crisp linear systems.first considering the existing anduniqueness of fuzzy solution to nxn fuzzy linear system is done.then numerical examplesare presented to illustrate the proposed model.