Antonyms and linguistic quantifiers in fuzzy logic

The paper is a contribution to the theory of fuzzy logic in broader sense ( FLb), namely the discussion of linguistic expressions fundamental for it-th e evaluating linguistic predications, the pairs "nominal syntagm-antonym", and the theory of linguistic quantifiers. The aim is to develop a theory of natural human reasoning, whose characteristic feature is the use of natura l language. Formalism of FLb is based on the theory of fuzzy logic in narro w sense with evaluated syntax, which provides us means for modelling of the concepts of intension, possible world and extension. Characterization of s ome of the main properties of the above expressions is provided. We also pr opose a modified definition of the linguistic variable. (C) 2001 Elsevier S cience B.V. All rights reserved.