The basic theorem on preconcept lattices

  • Authors:

  • Christian Burgmann;Rudolf Wille

  • Affiliations:

  • Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt;Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt

  • Venue:
  • ICFCA'06 Proceedings of the 4th international conference on Formal Concept Analysis
  • Year:
  • 2006

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Abstract

Preconcept Lattices are identified to be (up to isomorphism) the completely distributive complete lattices in which the supremum of all atoms is equal or greater than the infimum of all coatoms. This is a consequence of the Basic Theorem on Preconcept Lattices, which also offers means for checking line diagrams of preconcept lattices.