Pareto bordered sets

被引：0
|
作者：
Pintea, Cornel [1 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, Cluj Napoca, Romania
来源：
OPTIMIZATION | 2023年
关键词：
Closed convex sets; Minkowski sets; Pareto bordered sets;
D O I：
10.1080/02331934.2023.2280038
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we consider the closed convex sets with full Pareto-like relative boundary and call them Pareto bordered sets. We gradually characterize such sets by paying some special attention, at first, to those Pareto bordered sets which contain no lines and then to the arbitrary ones. We also provide some additional sufficient requirements on the representatives of a family of Pareto bordered sets such that their intersection remains Pareto bordered.
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页数：17
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