广义d-ρ-(η,θ)一致不变凸多目标规划的最优性条件及对偶  

Optimality Conditions and Duality for Multiobjective Programming under Generalized d-ρ-(η,θ)-univexity

作　　者：汪春峰[1] 李晓爱[1] 

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《河南师范大学学报（自然科学版）》2011年第6期7-13,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：中央高校基本科研业务费专项资金资助(K50510700004)

摘　　要：在d-ρ-(η,θ)不变凸和一致凸函数基础上,提出了d-ρ-(η,θ)一致不变凸函数,并研究了广义d-ρ-(η,θ)一致不变凸多目标规划下可行解为有效解或弱有效解的几个充分条件,以及Mond-Weir和Wolf型下对偶的相关结论.This paper introduces the concepts of d-ρ（η,θ）-univex functions, based on the concepts of d-ρ（η,θ）-invex function and univex function. Using these concepts, several sufficient optimality conditions for feasible solution to be an efficient or a weak efficient solution are obtained and some duality theorems for Mond-Weir and Wolf duality are derived.

关 键 词：多目标规划 广义d-ρ(η θ)一致不变凸 对偶 最优性 

分 类 号：O221.2[理学—运筹学与控制论]