Convex Geometry on Partially Ordered Sets

Conference paper
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 139)

Abstract

The definition the closure operator for poset covex geometry are presented, the closure axioms of convex geometry on partially ordered sets is given, and a characterestic for the convex geometry on partially ordered sets is investigated. Finally, we study some properties of the convex geometry on partially ordered sets.

Keywords

poset convex geometry rank function feasible set rank axioms of poset convex geometry 
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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.College of Mathematics and Information ScienceWeinan Teachers UniversityWeinanChina

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