Evaluation of Fuzzy Quantified Expressions

Anca L. Ralescu, Dan A. Ralescu, Kaoru Hirota

Abstract: We present a fuzzy logic based quantitative treatment for expressions containing quantifiers. For this we develop an evaluation procedure for the truth value of expressions of the form Qx∈X, p(x) where Qx∈X is a quantifier and p is a predicate defined on X. This procedure is consistent, in the sense that it can be applied uniformly regardless of the type (exact or imprecise) of the quantifier and/or predicate used.