Differences of Convex Compact Sets in the Space of Directed Sets. Part II: Visualization of Directed Sets

Robert Baier, Elza M. Farkhi

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is a continuation of the author's first paper (Set-Valued Anal. 9 (2001), pp. 217-245), where the normed and partially ordered vector space of directed sets is constructed and the cone of all nonempty convex compact sets in ℝn is embedded. A visualization of directed sets and of differences of convex compact sets is presented and its geometrical components and properties are studied. The three components of the visualization are compared with other known differences of convex compact sets.

Original languageEnglish
Pages (from-to)247-272
Number of pages26
JournalSet-Valued Analysis
Volume9
Issue number3
DOIs
StatePublished - 2001

Keywords

  • Convex analysis
  • Differences of convex sets and their visualization
  • Directed intervals
  • Directed sets
  • Interval analysis

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