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Fuzzy Quantification Using Restriction Levels

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Fuzzy Logic and Applications (WILF 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5571))

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Abstract

We introduce a model for the evaluation of fuzzy quantified expressions involving imprecise concepts. Imprecise concepts are assumed to be represented via restriction levels, a recently introduced representation of imprecision that extends the representation of fuzzy sets and introduces new operators. The proposal verifies all the properties required for the evaluation of quantified sentences, including all the properties involving negation. Particularly, the evaluation of “Some of A are ¬A” is definitely 0 for any fuzzy set A.

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Authors and Affiliations

  1. Dept. Computer Science and A.I., University of Granada, E.T.S.I.I.T., C/ Periodista Daniel Saucedo Aranda s/n, 18071, Granada, Spain

    Daniel Sánchez, Miguel Delgado & María-Amparo Vila

Authors
  1. Daniel Sánchez
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  2. Miguel Delgado
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  3. María-Amparo Vila
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Università di Palermo, via Archirafi, 34, 90123, Palermo, Italy

    Vito Di Gesù

  2. Center for Soft Computing Research, Machine Intelligence Unit, Indian Statistical Institute,, 203 Barrackpore Trunk Road, 700 108, Kolkata, India

    Sankar Kumar Pal

  3. Dipartimento di Scienze Applicate, Università di Napoli "Parthenope", Via Alcide De Gasperi, 5,, 80133, Napoli, Italy

    Alfredo Petrosino

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© 2009 Springer-Verlag Berlin Heidelberg

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Sánchez, D., Delgado, M., Vila, MA. (2009). Fuzzy Quantification Using Restriction Levels. In: Di Gesù, V., Pal, S.K., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2009. Lecture Notes in Computer Science(), vol 5571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02282-1_4

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  • DOI: https://doi.org/10.1007/978-3-642-02282-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02281-4

  • Online ISBN: 978-3-642-02282-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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