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-the 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 natural language. Formalism of FLb is based on the theory of fuzzy logic in narrow sense with evaluated syntax, which provides us means for modelling of the concepts of intension, possible world and extension. Characterization of some of the main properties of the above expressions is provided. We also propose a modified definition of the linguistic variable. (C) 2001 Elsevier Science B.V. All rights reserved.
antonyms intension possible world extension fuzzy logic in narrow and broader sense generalized quantifiers