一类非可微多目标规划的改进的Mond-Weir型对偶  

The Improved Mond-Weir Duality for a Class of Nondifferentiable Multiobjective Programming

作　　者：赵洁 ZHAO Jie(College of Mathematics and Computer,College of Foreign Trade and Business,Chongqing Normal University,Chongqing 401520,China)

机构地区：[1]重庆师范大学涉外商贸学院数学与计算机学院,重庆401520

出　　处：《重庆师范大学学报（自然科学版）》2018年第4期21-24,共4页Journal of Chongqing Normal University:Natural Science

基　　金：重庆师范大学涉外商贸学院"中青年骨干教师培养计划"

摘　　要：【目的】研究一类非可微多目标规划问题改进的Mond-Weir型对偶。【方法】分析Mond-Weir型对偶问题基础上,给出该问题的一类改进的Mond-Weir型对偶模型,利用G-不变凸性证明原问题与对偶问题之间的对偶结果。【结果】在适当条件下,得出该问题与对偶问题的弱对偶定理、强对偶定理和非极大逆对偶定理并进行证明。【结论】改进的MondWeir型对偶结果可以在更弱的条件下得以证明。[Purposes]The improved Mond-Weir type dual problem of a class of nondifferentiable multiobjective programs were studied.[Methods]The improved Mond-Weir type dual problem is formulated.G-invex assumption were used to establish duality theorems relating the problem and the dual problems which based on the analysis of Mond-Weir type dual problem.[Findings]Weak duality theorems,strong duality theorem and no-maximal converse duality theorem were established under suitable conditions.[Conclusions]The improved Mond-Weir duality results were proved under weaker assumptions.

关 键 词：不可微规划 多目标规划 改进的Mond-Weir型对偶 G-不变凸 

分 类 号：O221.6[理学—运筹学与控制论]