Scalarizations for a set optimization problem using generalized oriented distance function

被引：0
作者：
C. S. Khushboo
机构：
[1] University of Delhi,Department of Mathematics
[2] University of Delhi South Campus,Department of Mathematics
来源：
Positivity | 2019年 / 23卷
关键词：
Set optimization; Partial order relation; Scalarization; Generalized oriented distance function; 49J53; 90C26;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to establish scalarizations for minimal and weak minimal solutions of a set optimization problem using generalized oriented distance function introduced by Crespi et al. (Math Methods Oper Res 63:87–106, 2006). The solution concepts are based on a partial set order relation on the family of nonempty bounded sets proposed by Karaman et al. (Positivity 22:783–802, 2018). Finally, we also provide existence results for minimal solutions and sufficient conditions for the solution sets to be closed.
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页码：1195 / 1213
页数：18
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