A hybrid method for solving fuzzy semi-infinite linear programming problems

被引：2

作者：

Fakharzadeh, Alireza J. ^{[1
]}

Khosravi, Somayeh ^{[1
]}

机构：

[1] Shiraz Univ Technol, Fac Basis Sci, Dept Math, Shiraz, Iran

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2015年 / 28卷 / 02期

关键词：

Cutting-plane; semi-infinite linear programming; fuzzy linear programming; membership function; CUTTING PLANE ALGORITHM; MEMBERSHIP FUNCTIONS; DUALITY;

D O I：

10.3233/IFS-141369

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Abilities of fuzzy models in more adaptations with the real world phenomena causes that in this paper, we remodel semi-infinite linear programming problems as fuzzy problems which contained the crisp objective function and the infinite number of fuzzy constraints. Then, we introduce a new hybrid solution method for these fuzzy semi-infinite linear programming problems. This solution technique is a kind of cutting plane algorithm in which its sub-problems were solved by using the Zimmermann-method. Convergence of the presented algorithm is proved, and some numerical test examples are given and also the obtained results are compared.

引用

页码：879 / 884

页数：6

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