Relational Scaling in Relational Semantic Systems

  • Authors:
  • Karl Erich Wolff

  • Affiliations:
  • Mathematics and Science Faculty, Darmstadt University of Applied Sciences, Darmstadt, Germany D-64295

  • Venue:
  • ICCS '09 Proceedings of the 17th International Conference on Conceptual Structures: Conceptual Structures: Leveraging Semantic Technologies
  • Year:
  • 2009

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Abstract

In this paper two developments in Conceptual Knowledge Processing are combined, namely Contextual Logic introduced by Rudolf Wille and Temporal Concept Analysis introduced by the author. The basic structures connecting both theories are Relational Semantic Systems (RSS), each consisting of conceptual scales and a Relational Data Systems (RDS) for the representation of relational knowledge. We introduce the notion of a concept graph of a RSS. As opposed to the definition of a concept graph of a power context family the concepts used in the concept graph of a RSS are taken from the conceptual scales and not from the concept lattices of the contexts of k-ary relations. For the graphical representation of relational knowledge in information maps we modify tools from Temporal Concept Analysis and develop relational trace diagrams . Its usefulness is shown in a small example of a Relational Semantic System.