Solutions of Fuzzy Linear Systems using Ranking function

In this work, we propose an approach for computing the compromised solution of an lr fuzzy linear system by using of a ranking function when the coefficient matrix is a crisp m×n matrix. to do this, we use expected interval to find an lr fuzzy vector, x~ , such that the vector r(ax~ ) has the least distance from r(b~) in 1-norm and the 1- cut of x~ satisfies the crisp linearsystem ax = b . then, we solve the constrained lp-problem by using lingo 11 software packageand obtain optimal fuzzy number solution. finally, we illustrate the proposed method by solving twonumerical examples.