凝聚函数拟凸性与伪凸性的充分条件  

Sufficiency Condition of Aggregate Function's Quasi-convex Property and Pseudo-convex Property

作　　者：陈嘉[1] 王纯杰[1] 谭佳伟[1] 赵嘉琦[1] 刘庆怀[1] 

机构地区：[1]长春工业大学基础科学学院,长春130012

出　　处：《吉林大学学报（理学版）》2012年第3期467-471,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10771020)

摘　　要：通过定义函数之间"同定"和"同序"两种关系,讨论这两种关系的相关性质,并在此基础上证明了在上述关系下,拟凸函数和伪凸函数凝聚后仍分别为拟凸函数和伪凸函数的充分条件.On the basis of two relations between functions defined as same positive definite relation and same order relation the properties of the two relations were discussed.Besides a sufficient condition was established to assure that a new quasi-convex function was formed by the quasi-convex functions aggregated,and a sufficient condition was proposed to guarantee that quasi-convex functions were aggregated to form a new pseudo-convex function.

关 键 词：优化 凝聚函数 拟凸函数 伪凸函数 

分 类 号：O221.2[理学—运筹学与控制论]