Fuzzy Logic and Applications
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.