Quantified Statements and Some Interpretations for the OWA Operator

Patrick Bosc and Ludovic Liétard
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Patrick Bosc: IRISA/ENSSAT Technopole ANTICIPA
Ludovic Liétard: IRISA/ENSSAT Technopole ANTICIPA

A chapter in The Ordered Weighted Averaging Operators, 1997, pp 241-257 from Springer

Abstract: 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.

Keywords: linguistic quantifiers; fuzzy quantified statements; Choquet fuzzy integral; upper and lower mean value; relational databases; flexible querying (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-6123-1_19

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DOI: 10.1007/978-1-4615-6123-1_19

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