Abstract convex sets with respect to the class of general min-type functions

2003

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DOI 10.1080/02331930310001611448
Data confidence 70 medium
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Abstract

In this article we investigate subsets of n-dimensional Euclidean space R n with the following separation property: if , then there are a finite number of linear functions , such that We show that every such set is the intersection of its radiant and co-radiant hulls. Also the union of a finite family of the sets under consideration is examined.