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Evaluation of fuzzy quantified expressions

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Fuzzy Logic in Artificial Intelligence (FLAI 1997)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1566))

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Abstract

We present a fuzzy logic based quantitative treatment for expressions containing quantifiers. For this we develop an evaluation procedure for the truth value of expressions of the form Qx∈X, p(x) where Qx∈X is a quantifier and p is a predicate defined on X. This procedure is consistent, in the sense that it can be applied uniformly regardless of the type (exact or imprecise) of the quantifier and/or predicate used.

Work partially supported by the JSPS short term fellowship at the Tokyo Institute of Technology, March–May 1997.

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Author information

Authors and Affiliations

  1. ECE&CS Department, University of Cincinnati, USA

    Anca L. Ralescu

  2. Mathematical Sciences Department, University of Cincinnati, USA

    Dan A. Ralescu

  3. Computational Intelligence and Systems Science Department, Tokyo Institute of Technology, Japan

    Kaoru Hirota

Authors
  1. Anca L. Ralescu
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  2. Dan A. Ralescu
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  3. Kaoru Hirota
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Editor information

Anca L. Ralescu James G. Shanahan

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© 1999 Springer-Verlag Berlin Heidelberg

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Ralescu, A.L., Ralescu, D.A., Hirota, K. (1999). Evaluation of fuzzy quantified expressions. In: Ralescu, A.L., Shanahan, J.G. (eds) Fuzzy Logic in Artificial Intelligence. FLAI 1997. Lecture Notes in Computer Science, vol 1566. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095082

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  • DOI: https://doi.org/10.1007/BFb0095082

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66374-4

  • Online ISBN: 978-3-540-48358-8

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