The present paper proposes an operational semantic model of natural language quantifiers (e.g., many, some, three) and their use in quantified noun phrases. To this end we use embodied artificial agents that communicate in and interact with the physical world. We argue that existing paradigms such as Generalized Quantifiers (Barwise and Cooper 1981; Montague 1973) and Fuzzy Quantifiers (Zadeh 1983) do not provide a satisfactory models for our situated-interaction scenarios and propose a more adequate semantic model, based on fuzzy-quantification.
Computational complexity of polyadic lifts of generalized quantifiers in natural language