Level-based fuzzy generalized quantification

We propose a new type of generalized quantification using a recently developed representation of fuzziness by levels. This proposal integrates the existent models allowing the extension of crisp quantification to the fuzzy case keeping all the algebraic Boolean properties. Besides, the model covers...

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Bibliographic Details
Published in:Fuzzy sets and systems 2018-08, Vol.345, p.24-40
Main Authors: Ruiz, M. Dolores, Sánchez, Daniel, Delgado, Miguel
Format: Article
Language:English
Subjects:
Fuzzy quantification
Generalized quantifiers
Quantified sentences
Representation by levels
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Summary:We propose a new type of generalized quantification using a recently developed representation of fuzziness by levels. This proposal integrates the existent models allowing the extension of crisp quantification to the fuzzy case keeping all the algebraic Boolean properties. Besides, the model covers new types of quantification not covered by the existent approaches. The advantages of our proposal are clear from the computational and practical perspective, since it allows a parallelization of the algorithm by taking into account a fixed number of levels. Some authors have proposed several properties that a good evaluation method should satisfy. We also prove that our proposal fulfills all the desired properties to be considered a good evaluation method.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2017.06.012