半预不变凸多目标规划的最优性条件及Wolfe型对偶定理

华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (3): 32-36.

半预不变凸多目标规划的最优性条件及Wolfe型对偶定理

江维琼

重庆师范大学数学与计算机科学学院, 重庆 400047

收稿日期:2004-12-20 修回日期:2005-02-17 出版日期:2006-05-25 发布日期:2006-05-25
通讯作者: 江维琼

Optimization Conditions and Wolfe Type Duality Theory of Semi-preinvex Multiobjective Programming(Chinese)

JIANG Wei-qiong

Department of Mathematics, Chongqing Normal University, Chongqing 400047, China

Received:2004-12-20 Revised:2005-02-17 Online:2006-05-25 Published:2006-05-25
Contact: JIANG Wei-qiong

摘要/Abstract

摘要： 讨论了半预不变凸多目标规划问题有效解的充要条件,得到了半预不变凸多目标规划问题Wolfe型对偶模型的弱对偶和强对偶定理.

关键词: 半预不变凸, 多目标规划, 最优性条件, Wolfe型对偶, 半预不变凸, 多目标规划, 最优性条件, Wolfe型对偶

Abstract: Sufficient and necessary conditions of the efficient on semi-preinvex multiabjective programming are obtained. Based on these, the wolfe type dual is discussed and the corresponding duality are established.

Key words: multiobjective programming, optimality condition, Wolfe type duality, semi-preinvex, multiobjective programming, optimality condition, Wolfe type duality

中图分类号:

江维琼. 半预不变凸多目标规划的最优性条件及Wolfe型对偶定理[J]. 华东师范大学学报(自然科学版), 2006, 2006(3): 32-36.

JIANG Wei-qiong. Optimization Conditions and Wolfe Type Duality Theory of Semi-preinvex Multiobjective Programming(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2006, 2006(3): 32-36.