On the relation between fuzzy and generalized quantifiers

Fuzzy quantified sentences have been widely applied for modeling statements in Natural Language since they allow to represent a broad type of intrinsically imprecise quantified statements that are usually linguistically expressed. Two different frameworks arise in order to model this imprecision in quantification: Zadeh's fuzzy quantifiers and the fuzzification of generalized quantification. For both models several approaches have been developed for assessing the degree of satisfiability of fuzzy quantified sentences. We present and compare both models, concluding that although the concept of quantifier in each model has not the same semantics, we can establish a connection between them and between the evaluation methods in both theories.