半B-(E,F)-凸约束多目标规划的对偶性  

Duality Theorems of Multi-objective Programming for Semiconvex functions

作　　者：马晓娜[1] 

机构地区：[1]宿州学院数学与统计学院,安徽宿州234000

出　　处：《宿州学院学报》2012年第5期4-5,18,共3页Journal of Suzhou University

基　　金：安徽省优秀青年人才基金项目"多重不确定环境下供应商评选研究"(2011SQRL154)

摘　　要：基于B-凸性和半B-(E,F)-凸性,提出了一类新的广义凸性:半B-(E,F)-凸性,给出了半B-(E,F)-凸函数的概念,研究了它的基本性质,并在半(E,F)-凸函数多目标规划的直接对偶定理和逆对偶定理的基础上讨论了半B-(E,F)-凸函数多目标规的直接对偶定理和逆对偶定理,所得到的结果是半(E,F)-凸函数多目标规的直接对偶定理和逆对偶定理的改进与推广。Based on two classes of generalized convex functions, that is, B-convex function and semi B- （E, F）-convex function,semi B-（E,F）-convexity,a new class of generalized convexity,is introduced,including its con-cept and basic properties. The direct duality theorem and the inverse duality theorem of multi B-（E,F）-objec-tive programming for semiconvex function are presented based on the direct duality theorem and the inverse du-ality theorem of multi B-（E,F）-objective programming for semiconvex function. The research can help to ira-prove and extend the direct duality theorem and the inverse duality theorem of multi B-（E,F）-objective programming for semiconvex function.

关 键 词：半B-(E F)-凸函数 多目标规划 有效解 对偶性 

分 类 号：O221.2[理学—运筹学与控制论]