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Lattices of Triadic Concept Graphs

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Conceptual Structures: Logical, Linguistic, and Computational Issues (ICCS 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1867))

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Abstract

Triadic concept graphs have been introduced as a mathematization of conceptual graphs with subdivision. In this paper it is shown that triadic concept graphs of a triadic power context family always form a complete lattice with respect to the generalization order. For stating this result, a clarification of the notion of generalization is needed. It turns out that the generalization order may be differently defined, depending on the assumed background knowledge, respectively.

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Author information

Authors and Affiliations

  1. School of Information Technology, Griffith University, Gold Coast Campus, PMB 50 Gold Coast Mail Centre, QLD 9726, Australia

    Bernd Groh

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

    Rudolf Wille

Authors
  1. Bernd Groh
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  2. Rudolf Wille
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Editors and Affiliations

  1. Institute of Algebra, University of Technology, Dresden, Germany

    Bernhard Ganter

  2. Département d’informatique et de génie logiciel, Université Laval, Pavillon Adrien-Pouliot, 1065, av. de la Médecine, G1V 0A6, Quebec City, Québec, Canada

    Guy W. Mineau

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Groh, B., Wille, R. (2000). Lattices of Triadic Concept Graphs. In: Ganter, B., Mineau, G.W. (eds) Conceptual Structures: Logical, Linguistic, and Computational Issues. ICCS 2000. Lecture Notes in Computer Science(), vol 1867. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10722280_23

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  • DOI: https://doi.org/10.1007/10722280_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67859-5

  • Online ISBN: 978-3-540-44663-7

  • eBook Packages: Springer Book Archive

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