%0 Journal Article %T 实线性空间中向量优化问题近似真有效解的标量化研究<br>Scalarization for Approximate Proper Efficiency Solutions of Vector Optimization Problems on Real Linear Spaces %A 谢静 %A 高英< %A br> %A XIE Jing %A GAO Ying %J 西南大学学报(自然科学版) %D 2017 %R 10.13718/j.cnki.xdzk.2017.11.012 %X 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.<br>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 %K 实线性空间 %K 向量优化 %K 近似真有效解 %K 标量化< %K br> %K real linear space %K vector optimization %K approximate proper efficiency solutions %K scalarization %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2017/11/201711012.htm