Solutions of Fuzzy Linear Systems using Ranking function
|
M. A. Jahantigh , S. Khezerloo , A. A. Hosseinzadeh , M. Khezerloo |
|
|
Abstract: (9314 Views) |
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. |
|
|
|
Full-Text [PDF 486 kb]
(4212 Downloads)
|
Type of Study: Research |
Subject:
Special Received: 2012/06/11 | Published: 2012/06/15
|
|
|
|