Saddle Point Optimality Conditions in Fuzzy Optimization Problems

被引：0
|
作者：
Gong, Zeng-tai [1 ]
Li, Hong-xia [1 ]
机构：
[1] NW Normal Univ, Coll Math & Informat Sci, Lanzhou 730070, Gansu, Peoples R China
来源：
FUZZY INFORMATION AND ENGINEERING, VOL 1 | 2009年 / 54卷
关键词：
Convex fuzzy mapping; fuzzy Lagrangian function; duality; saddle point; DUALITY;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The fuzzy-valued Lagrangian function of constrained fuzzy programming as well as its duality are proposed via a new concept of fuzzy ordering, and the duality theorems are given. At the same time, the sufficient condition for the optimal solution of the fuzzy optimization problem is obtained by virtue of the saddle point of fuzzy-valued Lagrangian function, and the necessary condition for the optimal solution of the convex fuzzy optimization problem is also presented.
引用
收藏
页码：7 / 14
页数：8
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