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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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
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