A Kind of Unified Strict Efficiency via Improvement Sets in Vector Optimization  

作　　者：Hui Guo Yan-Qin Bai 

机构地区：[1]Department of Mathematics,Chongqing Normal University,Chongqing 401331,China [2]College of Sciences,Shanghai University,Shanghai 200444,China

出　　处：《Journal of the Operations Research Society of China》2018年第4期557-569,共13页中国运筹学会会刊（英文）

基　　金：This research was supported by the National Natural Science Foundation of China(No.11671062);the Chongqing Municipal Education Commission(No.KJ1500310);the Doctor startup fund of Chongqing Normal University(No.16XLB010).

摘　　要：In this paper,we propose a kind of unified strict efficiency named E-strict efficiency via improvement sets for vector optimization.This kind of efficiency is shown to be an extension of the classical strict efficiency andε-strict efficiency and has many desirable properties.We also discuss some relationships with other properly efficiency based on improvement sets and establish the corresponding scalarization theorems by a base-functional and a nonlinear functional.Moreover,some examples are given to illustrate the main conclusions.

关 键 词：E-strict efficiency Improvement sets Linear scalarization Nonlinear scalarization Vector optimization 

分 类 号：O17[理学—数学]