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Quantified Statements and Some Interpretations for the OWA Operator

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The Ordered Weighted Averaging Operators

Abstract

The interpretation of fuzzy quantified statements of the type “Q X are A” (where Q is a fuzzy quantifier and A is a fuzzy predicate) thanks to the OWA operator is the main topic of this paper. A meaning in terms of α-cuts of fuzzy sets is proposed and the relationships between this approach and fuzzy integrals on the one hand and Dempster-Shafer theory on the other hand, is investigated. The use of fuzzy quantified statements for database querying purposes is also illustrated.

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Author information

Authors and Affiliations

  1. IRISA/ENSSAT Technopole ANTICIPA, BP 447, 22305, Lannion Cédex, France

    Patrick Bosc & Ludovic Liétard

Authors
  1. Patrick Bosc
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  2. Ludovic Liétard
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Editor information

Editors and Affiliations

  1. Iona College, New Rochelle, New York, USA

    Ronald R. Yager

  2. Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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© 1997 Springer Science+Business Media New York

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Bosc, P., Liétard, L. (1997). Quantified Statements and Some Interpretations for the OWA Operator. In: Yager, R.R., Kacprzyk, J. (eds) The Ordered Weighted Averaging Operators. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6123-1_19

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  • DOI: https://doi.org/10.1007/978-1-4615-6123-1_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7806-8

  • Online ISBN: 978-1-4615-6123-1

  • eBook Packages: Springer Book Archive

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