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(h,φ)-不变凸多目标半无限规划的对偶性

Duality of Multiple-Objective Semi-infinite Programming with(h,φ) Invex Function
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摘要 利用Ben-Tal广义代数运算,定义了一类(h,φ)-ρ不变凸函数,研究了涉及此类函数的多目标半无限规划,在更弱的凸性下,得到了一些对偶性条件. Based on the Ben-tal generalized algebraic operation, a class of (h, φ)--p invex functions is de-fined, a multiple-objective semi-infinite programming involving this kind of functions is researched, and some important duality conclusions are obtained under weaker convexity.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第7期28-32,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(60873099) 延安大学科研基金(YDK2004-196)
关键词 广义代数运算 (h φ)-ρ不变凸函数 半无限规划 多目标 对偶性 generalized algebraic operation (h, φ)--p invex function semi-infinite programming multiple objective duality
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