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Published in:
2011 | OriginalPaper | Chapter
An Approach to General Quantification Using Representation by Levels
Authors : Daniel Sánchez, Miguel Delgado, María-Amparo Vila
Published in: Fuzzy Logic and Applications
Publisher: Springer Berlin Heidelberg
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In this paper we propose an extension of generalized quantification to the fuzzy case using a recently proposed level representation of fuzziness. The level representation allows the extension of crisp quantification to the fuzzy case in a simple way, keeping all its properties. The expressive power of this extension to the theory of generalized quantifiers goes far beyond the usual fuzzy quantification framework based on absolute and relative fuzzy quantifiers. The proposal offer many potentially interesting possibilities for developing applications inspired in the Computing with Words and Perceptions paradigm, remarkably linguistic summarization of data.