Elsevier

Fuzzy Sets and Systems

Volume 124, Issue 3, 16 December 2001, Pages 335-351
Fuzzy Sets and Systems

Antonyms and linguistic quantifiers in fuzzy logic

https://doi.org/10.1016/S0165-0114(01)00104-XGet rights and content

Abstract

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.

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This paper has been supported by the project VS96037 of MŠMT of the Czech Republic.

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