TY - JOUR
T1 - Solutions of Fuzzy Linear Systems using Ranking function
TT -
JF - IJAORLU
JO - IJAORLU
VL - 2
IS - 2
UR - http://ijorlu.liau.ac.ir/article-1-142-en.html
Y1 - 2012
SP - 0
EP - 0
N2 - 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.
M3
ER -