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International Conference on Conceptual Structures

ICCS 1998: Conceptual Structures: Theory, Tools and Applications pp 194–208Cite as

Triadic concept graphs

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1453))

Abstract

In the paper “Conceptual Graphs and Formal Concept Analysis”, the author has presented a first attempt in unifying the Theory of Conceptual Graphs and Formal Concept Analysis. This context-based approach, which is philosophically supported by Peirce's pragmatic epistemology, is grounded on families of related formal contexts whose formal concepts allow a mathematical representation of the concepts and relations of conceptual graphs. Such representation of a conceptual graph is called a “concept graph” of the context family from which it is derived. In this paper the theory of concept graphs is extended to allow a mathematical representation of nested conceptual graphs by “triadic concept graphs”. As in the preceding paper, our focuss lies on the mathematical structure theory, which later could be used for extending the already developed logical theory of simple concept graphs. The overall aim of this research is to contribute to the development of a contextual logic as basis of Conceptual Knowledge Processing.

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, D-64289, Darmstadt

    Rudolf Wille

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  1. Rudolf Wille
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Marie-Laure Mugnier Michel Chein

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© 1998 Springer-Verlag Berlin Heidelberg

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Wille, R. (1998). Triadic concept graphs. In: Mugnier, ML., Chein, M. (eds) Conceptual Structures: Theory, Tools and Applications. ICCS 1998. Lecture Notes in Computer Science, vol 1453. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054915

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  • DOI: https://doi.org/10.1007/BFb0054915

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64791-1

  • Online ISBN: 978-3-540-68673-6

  • eBook Packages: Springer Book Archive

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