摘要
在广义弧式凸性函数:ρ-弧式拟凸、ρ-弧式伪凸函数的条件下,讨论了其多目标规划的对偶问题,论证了其弱对偶定理、直接对偶定理、逆对偶定理.
Under the conditions of generalized arcwise convex functions:ρ-arcwise quasiconvex and arcwise pseudoconvex functions,the duality problem of the multiobjective programming is discussed in this paper,and its weakly,direct and converse theorems are proved.
出处
《东北师大学报(自然科学版)》
CAS
CSCD
北大核心
2009年第1期27-30,共4页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10076006)
关键词
ρ-弧式拟凸函数
ρ-弧式伪凸函数
多目标规划
有效解
对偶定理
ρ-arcwise quasiconvex function
ρ-arcwise pseudoconvex function
multionbjective programming
efficient solution
duality theorems