摘要
首先在K-(F,α,ρ,d)-B凸函数和广义K-(F,α,ρ,d)-B凸函数概念基础上,建立了一类广义K-(F,α,ρ,d)-B凸半无限多目标规划的Wolfe型对偶问题;然后,在广义K-(F,α,ρ,d)-B凸函数的情形下给出和证明了弱对偶定理、强对偶、限制逆对偶定理和严格逆对偶定理.
In this paper, firstly, Wolfe type dual problems for generalized K-（F,α,ρ,d）-B- convex semi-infinite mul- tiobjective programming are established on the basis of concepts of the K-（F,α,ρ,d）-B-convex function and general ized K-（F,α,ρ,d）-B-convex function. Then, weak duality, strong duality, restricted converse duality and strict converse duality theorems are given and proved involving the generalized K-（F,α,ρ,d）-B-convex functions.
出处
《江苏师范大学学报（自然科学版）》
CAS
2012年第4期38-42,共5页
Journal of Jiangsu Normal University：Natural Science Edition
基金
陕西省教育厅专项科研基金资助课题(06JK152)
延安大学重点科研项目(YDZ2012-04)
