向量优化中一类新的真有效解及其线性标量化  

A Kind of New Proper Efficiency and Its Linear Scalarization in Vector Optimization

作　　者：马莉 李飞[1] MA Li;LI Fei(School of Mathematical Sciences,Inner Mongolia University,Hohhot 01002l,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2023年第4期342-347,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金项目(11601248)。

摘　　要：基于向量优化问题的严有效解和E-严有效解的思想,利用改进集、回收锥等工具提出了一类新的真有效解概念——广义E-严有效解,给出了广义E-严有效解的存在性定理,并利用基泛函建立了广义E-严有效解的线性标量化定理。Based on the ideas of strict efficiency and E-strict efficiency,a kind of new proper efficient solution named generalized E-strict efficiency by improvement set and recession cone is proposed.The existence theorem for generalized E-strict efficiency is constructed and the linear scalarization theorems for generalized E-strict efficiency using a base-functional are established.

关 键 词：向量优化 改进集 E-严有效解 广义E-严有效解 线性标量化 

分 类 号：O221.2[理学—运筹学与控制论]