集合族最小元素间关于各种集序关系的关系

ATASEVER GÜVENÇ, İlknur
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引用次数: 0

摘要

本文研究了集值优化问题的解概念之一——集优化准则的若干集序关系。详细地比较了关于这些集序关系的集合族的最小元素。为了进行这种比较,使用了本文中提到的集序关系之间的关系。另外,在一类极小集不是另一类极小集的子集的情况下,给出了例子。
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Relations Among Minimal Elements of a Family of Sets with Respect to Various Set Order Relations
In this article, some set order relations given for set-optimization criterion which is one of the solution concept of set-valued optimization problems are considered. Minimal elements of a family of sets with respect to these set order relations are compared in detail. For this comparison relations between set order relations mentioned in this article are used. Also, in cases where a family of minimal sets is not a subset of the other one, examples are given.
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