Antonyms and linguistic quantifiers in fuzzy logic☆
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2023, Fuzzy Sets and SystemsCitation Excerpt :In fact, in classical logic, these two terms have the same meaning. However, this is not necessarily the case in fuzzy logic and its extensions, when working in environments with ambiguity or uncertainty ([18]). For example, with the predicate ‘big’ and its antonym ‘small’, it is not equivalent saying ‘the house is not big’, and ‘the house is small’.
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2022, Fuzzy Sets and SystemsType 〈 1, 1 〉 fuzzy quantifiers determined by fuzzy measures on residuated lattices. Part I. Basic definitions and examples
2014, Fuzzy Sets and SystemsCitation Excerpt :However, in this series of papers we are mainly interested in establishing a theoretical framework for a sufficiently general class of fuzzy quantifiers that can be tailored to individual applications with important theoretical properties guaranteed. Research in the field of fuzzy quantifiers started with work by Zadeh [41,42] and was continued by Ralescu [37], Thiele [38] and others [24,25,29]. Dubois et al. reported important results on syllogisms involving vaguely specified numerical quantifiers [8] and on automated reasoning in probabilistic knowledge bases with probabilities expressed as quantifiers [7].
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This paper has been supported by the project VS96037 of MŠMT of the Czech Republic.