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

Authors:	Robert Baier and Elza M. Farkhi

Affiliation:	(1) Chair of Applied Mathematics, University of Bayreuth, D-95440 Bayreuth, Germany;(2) School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

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.

Keywords:	directed sets directed intervals differences of convex sets and their visualization convex analysis interval analysis
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