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On the Contextual Logic of Ordinal Data

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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

This paper reports on first attempts to develop a contextual logic of ordinal data. The investigations are based on a mathematical theory of ordinal contexts which has been developed within Formal Concept Analysis. From ordinal contexts, binary power context families are derived as semantic basis of a contextual logic of ordinal data. They are used to characterize compound attributes extensionally. In this way, the contextual logic becomes a relational logic within the framework of the Peircean Algebraic Logic, as reconstructed by R. W. Burch. The considerations of this papers are discussed through an example of ordinal data investigated toward a meaningful representation in ordered vector spaces.

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Authors and Affiliations

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

    Silke Pollandt & Rudolf Wille

Authors
  1. Silke Pollandt
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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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Pollandt, S., Wille, R. (2000). On the Contextual Logic of Ordinal Data. 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_21

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  • DOI: https://doi.org/10.1007/10722280_21

  • 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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