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Level-based fuzzy generalized quantification

delete2018-08-01
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PRE
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M
M. Dolores Ruiz *
D
Daniel Sánchez
M
Miguel Delgado‐Rodríguez
DOI:10.1016/j.fss.2017.06.012delete
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Abstract

Abstract

En 中文
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. (C) 2017 Elsevier B.V. All rights reserved.
Keywords:
Fuzzy quantification
Generalized quantifiers
Quantified sentences
Representation by levels
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Journal

Fuzzy Sets and Systems cover
Fuzzy Sets and Systems
IF:
2.7
Papers:
7.6K
Citations:
1.5W

Organization

U
University of Granada
Scholars:
2.3W
Papers: 1.9W
Citations: 24