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Interpolation in fuzzy logic

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Abstract.

We investigate interpolation properties of many-valued propositional logics related to continuous t-norms. In case of failure of interpolation, we characterize the minimal interpolating extensions of the languages. For finite-valued logics, we count the number of interpolating extensions by Fibonacci sequences.

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Authors and Affiliations

  1. Institut für Algebra und Computermathematik, Technische Universität Wien, Wiedner Hauptstr. 8, A-1040 Wien, Austria (e-mail: baaz@logic.at) , , , , , , AT

    Matthias Baaz

  2. Institut für Informationssysteme, Technische Universität Wien, Paniglgasse 16, A-1040 Wien, Austria (e-mail: veith@dbai.tuwien.ac.at) , , , , , , AT

    Helmut Veith

Authors
  1. Matthias Baaz
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  2. Helmut Veith
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Received: 10 December 1997

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Baaz, M., Veith, H. Interpolation in fuzzy logic. Arch Math Logic 38, 461–489 (1999). https://doi.org/10.1007/s001530050151

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  • DOI: https://doi.org/10.1007/s001530050151

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