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.
出处
《西南大学学报(自然科学版)》
CAS
CSCD
北大核心
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)
关键词
实线性空间
向量优化
近似真有效解
标量化
real linear space
vector optimization
approximate proper efficiency solutions
scalarization