The Lattice of Concept Graphs of a Relationally Scaled Context

  • Authors:
  • Susanne Prediger;Rudolf Wille

  • Affiliations:
  • -;-

  • Venue:
  • ICCS '99 Proceedings of the 7th International Conference on Conceptual Structures: Standards and Practices
  • Year:
  • 1999

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Abstract

The aim of this paper is to contribute to Data Analysis by clarifying how concept graphs may be derived from data tables. First it is shown how, by the method of relational scaling, a many-valued data context can be treinsformed into a power context family. Then it is proved that the concept graphs of a power context family form a lattice which can be described as a subdirect product of specific intervals of the concept lattices of the power context fajnily (each extended by a new top-element). How this may become practical is demonstrated using a data table about the domestic flights in Austria. Finally, the lattice of syntactic concept graphs over an alphabet of object, concept, and relation names is determined and related to the lattices of concept graphs of the power context families which are semantic models of the given contextual syntax.