An efficient method for solving LR fuzzy dual matrix systems

被引：5
|
作者：
Babakordi, F. [1 ]
Allahviranloo, T. [1 ]
Firozja, M. Adabitabar [2 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
[2] Islamic Azad Univ, Sci & Res Branch, Dept Math, Ghaemshahr, Iran
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 30卷 / 01期
关键词：
Fuzzy number; optimization; fuzzy dual matrix system; linear programming; DECOMPOSITION METHOD; SYMMETRIC-SOLUTIONS;
D O I：
10.3233/IFS-151781
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the fuzzy dual matrix system as A (x) over tilde + (B) over tilde = C (x) over tilde + (D) over tilde in which A, C are n x n crisp matrices and (B) over tilde, (D) over tilde are n x n LR fuzzy matrices is studied. To obtain the solution of fuzzy dual system, we initially solve 1-cut and use minimization problem to calculate the spreads. Afterwards, we explain the relationship between the solutions of the systems of A (x) over tilde +(B) over tilde = C (x) over tilde + (D) over tilde and (A - C)(x) over tilde = ((D) over tilde circle minus(h) (B) over tilde). Finally, some examples are solved to illustrate the proposed method.
引用
收藏
页码：575 / 581
页数：7
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