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 (AX ) has the least distance from (b ) in 1 norm and the 1 cut of X satisfies the crisp linear system AX = b . Then, we solve the constrained LP-problem by using LINGO 11 software package and obtain optimal fuzzy number solution. Finally, we illustrate the proposed method by solving two numerical examples. Keywords: Fuzzy Linear System, Fuzzy LR Number, Expected Interval, Ranking Function, Fuzzy Number Solution.