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On the Uniqueness of Interpretations for Fuzzy IF-THEN Rule Bases

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Computational Intelligence. Theory and Applications (Fuzzy Days 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2206))

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Abstract

A fuzzy IF-THEN rule base is considered as a system of equations for a functional operator. We study several conditions so that such a system of functional equations has at most one solution. Several versions of compactness inspired by the compactness of consequence operators used in the theory of formal systems from mathematical logic play a fundamental role in formulating these conditions and in proving corresponding theorems.

This research was supported by the Deutsche Forschungsgemeinschaft as part of the Collabo-rative Research Center ’Computational Intelligence’ (SFB 531)

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Authors and Affiliations

  1. University of Dortmund, Department of Computer Science I, D-44221, Dortmund, Germany

    Helmut Thiele

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  1. Helmut Thiele
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Editors and Affiliations

  1. Computer Science I, University of Dortmund, 44221, Dortmund, Germany

    Bernd Reusch

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Thiele, H. (2001). On the Uniqueness of Interpretations for Fuzzy IF-THEN Rule Bases. In: Reusch, B. (eds) Computational Intelligence. Theory and Applications. Fuzzy Days 2001. Lecture Notes in Computer Science, vol 2206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45493-4_52

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  • DOI: https://doi.org/10.1007/3-540-45493-4_52

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  • Print ISBN: 978-3-540-42732-2

  • Online ISBN: 978-3-540-45493-9

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