Duality in fuzzy linear programming with possibility and necessity relations

被引：46
|
作者：
Ramík, J [1 ]
机构：
[1] Silesian Univ, Fac Business Adm, Dept Math Methods Econ, Karvina, Czech Republic
[2] Tech Univ Ostrava, VSB, Fac Econ, Ostrava, Czech Republic
来源：
FUZZY SETS AND SYSTEMS | 2006年 / 157卷 / 10期
关键词：
fuzzy relations; fuzzy linear programming; duality;
D O I：
10.1016/j.fss.2005.11.022
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
A class of fuzzy linear programming (FLP) problems with fuzzy coefficients based on fuzzy relations is introduced, the concepts of feasible and (alpha, beta)-maximal and minimal solutions are defined. The class of crisp (classical) LP problems can be embedded into the class of FLP ones. Moreover, for FLP problems a new concept of duality is introduced and the weak and strong duality theorems are derived. The introduced concepts and results are illustrated and discussed on a simple numerical example. (C) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：1283 / 1302
页数：20
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