Fuzzy Quantification Using Restriction Levels

Authors:
Daniel Sánchez;Miguel Delgado;María-Amparo Vila
Affiliations:
Dept. Computer Science and A.I., University of Granada, Granada, Spain 18071;Dept. Computer Science and A.I., University of Granada, Granada, Spain 18071;Dept. Computer Science and A.I., University of Granada, Granada, Spain 18071
Venue:
WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
Year:
2009

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Abstract

We introduce a model for the evaluation of fuzzy quantified expressions involving imprecise concepts. Imprecise concepts are assumed to be represented via restriction levels, a recently introduced representation of imprecision that extends the representation of fuzzy sets and introduces new operators. The proposal verifies all the properties required for the evaluation of quantified sentences, including all the properties involving negation. Particularly, the evaluation of "Some of A are ¬A" is definitely 0 for any fuzzy set A.