@ARTICLE{Jahantigh, author = {Jahantigh, M. A. and Khezerloo, S. and Hosseinzadeh, A. A. and Khezerloo, M. and }, title = {Solutions of Fuzzy Linear Systems using Ranking function}, volume = {2}, number = {2}, abstract ={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. }, URL = {http://ijorlu.liau.ac.ir/article-1-142-en.html}, eprint = {http://ijorlu.liau.ac.ir/article-1-142-en.pdf}, journal = {International Journal of Applied Operational Research}, doi = {}, year = {2012} }