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 mn
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.
Jahantigh M A, Khezerloo S, Hosseinzadeh A A, Khezerloo M. Solutions of Fuzzy Linear Systems using Ranking function. International Journal of Applied Operational Research 2012; 2 (2) URL: http://ijorlu.liau.ac.ir/article-1-142-en.html