Abstract
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.
This work has been partially supported by the Spanish Government under project TIN2009-08296, and by the Andalusian Government (Junta de Andalucía, Consejería de Innovación, Ciencia y Empresa) under project P07-TIC-03175 ”Representación y Manipulación de Objetos Imperfectos en Problemas de Integración de Datos: Una Aplicación a los Almacenes de Objetos de Aprendizaje”.
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Sánchez, D., Delgado, M., Vila, MA. (2011). An Approach to General Quantification Using Representation by Levels. In: Fanelli, A.M., Pedrycz, W., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2011. Lecture Notes in Computer Science(), vol 6857. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23713-3_7
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DOI: https://doi.org/10.1007/978-3-642-23713-3_7
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