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Relational Scaling in Relational Semantic Systems

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Conceptual Structures: Leveraging Semantic Technologies (ICCS 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5662))

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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.

This work is supported by DFG-RFBR project COMO, GZ: 436 RUS 113/829/0-1.

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Author information

Authors and Affiliations

  1. Mathematics and Science Faculty, Darmstadt University of Applied Sciences, Schoefferstr. 3, D-64295, Darmstadt, Germany

    Karl Erich Wolff

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  1. Karl Erich Wolff
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Editor information

Editors and Affiliations

  1. Institut AIFB, Universität Karlsruhe (TH), 76128, Karlsruhe, Germany

    Sebastian Rudolph

  2. SAP Research Center CEC Dresden, Chemnitzer Strasse 48, 01187, Dresden, Germany

    Frithjof Dau

  3. Higher School of Economics, Department of Applied Mathematics and Information Science, State University, Kirpichnaya 33/5, 105679, Moscow, Russia

    Sergei O. Kuznetsov

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Wolff, K.E. (2009). Relational Scaling in Relational Semantic Systems. In: Rudolph, S., Dau, F., Kuznetsov, S.O. (eds) Conceptual Structures: Leveraging Semantic Technologies. ICCS 2009. Lecture Notes in Computer Science(), vol 5662. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03079-6_24

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  • DOI: https://doi.org/10.1007/978-3-642-03079-6_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03078-9

  • Online ISBN: 978-3-642-03079-6

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