p-E-凸集及其若干性质  

p-E-Convex Set and Its Properties

作　　者：刘卫锋[1] 

机构地区：[1]郑州航空工业管理学院数理系,河南郑州450015

出　　处：《郑州大学学报（理学版）》2014年第1期28-32,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：河南省教育厅科学技术研究重点项目;编号12B110027

摘　　要：在p-凸集和E-凸集概念基础上,通过将p-凸集和E-凸集相结合,提出了一种广义凸集——p-E-凸集,使得凸集、p-凸集和E-凸集成为它的特例,推广了凸集的概念.最后,初步研究了p-E-凸集的性质.Based on the concepts of p-convex sets and E-convex sets,a generalized convex set defined as p-E-convex set was proposed by combining p-convex sets with E-convex sets,so that p-convex sets,Econvex sets and convex sets were made particular cases,and the concept of a convex sets was generalized.Some properties of p-E-convex sets were investigated.

关 键 词：凸集 p-E-凸集 p-凸集 E-凸集 

分 类 号：O221.2[理学—运筹学与控制论]