实线性空间中向量优化问题近似真有效解的标量化研究  

Scalarization for Approximate Proper Efficiency Solutions of Vector Optimization Problems on Real Linear Spaces

作　　者：谢静 高英 

机构地区：[1]重庆师范大学数学科学学院,重庆401331

出　　处：《西南大学学报（自然科学版）》2017年第11期81-86,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11201511);重庆市科委项目(cstc2015jcyjA00005);重庆市教委项目(KJ1500309)

摘　　要：研究了实线性空间中向量优化问题的近似真有效解及其标量化.首先,指出已有结果的不合理性,通过例子对其进行了说明.其次,利用co-radiant集给出了实线性空间中一种新的近似真有效解,并对它进行了标量化研究.In this paper,we introduce the approximate proper efficiency solutions of vector optimization problems and present their linear scalarizations.First,we point out the irrationality of the existing results and give a description by examples.Then,using the co-radiant set,we introduce a new kind of approximate proper efficiency solutions in real linear spaces and present linear scalarizations for these solutions.

关 键 词：实线性空间 向量优化 近似真有效解 标量化 

分 类 号：O221.6[理学—运筹学与控制论]