Duality in Fuzzy Multiple Objective Linear Programming with Possibility and Necessity Relations

被引:0
|
作者
Ramik, Jaroslav [1 ]
机构
[1] Silesian Univ, Fac Business Adm, Dept Math Methods Econ, Karvina, Czech Republic
关键词
Fuzzy relations; Fuzzy multiple objective linear programming; Duality;
D O I
暂无
中图分类号
F [经济];
学科分类号
02 ;
摘要
A class of fuzzy multiple objective linear programming (FMOLP) problems with fuzzy coefficients based on fuzzy relations is introduced, the concepts of feasible and (alpha, beta)-maximal and minimal solutions axe defined. The class of crisp (classical) MOLP problems can be embedded into the class of FMOLP ones. Moreover, for FMOLP 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.
引用
收藏
页码:321 / 327
页数:7
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