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实线性空间中向量优化问题近似真有效解的标量化研究 被引量:3

Scalarization for Approximate Proper Efficiency Solutions of Vector Optimization Problems on Real Linear Spaces
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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.
作者 谢静 高英
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
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