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Representation of Data Contexts and Their Concept Lattices in General Geometric Spaces

  • Tim B. Kaiser
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3596)

Abstract

We present a possibility for coordinatizing many-valued contexts and their concept lattices, i.e. we investigate when an algebra (in the sense of universal algebra) can be assigned to the object set of a many-valued context such that the extents can be described by the congruence classes of the algebra. Since congruence class spaces have a natural geometric nature the outlined approach can be interpreted as a geometric representation of concept lattices.

Keywords

Equivalence Relation Closure Operator Universal Algebra Concept Lattice Data Context 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Tim B. Kaiser
    • 1
  1. 1.Darmstadt University of TechnologyDarmstadtGermany

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