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Title: Some Remarks on the Generalized Scheme of Reduction to Absurdity and Generalized Hypothetical Syllogism in Fuzzy Logic
Authors: Miś, Katarzyna
Baczyński, Michał
Helbin, Piotr
Keywords: Generalized reduction to absurdity; generalized hypothetical syllogism; fuzzy implications; R-implications; t-norms; fuzzy negations
Issue Date: 2019
Publisher: Atlantis Press
Citation: M. Stepnicka (red.), "Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)" (S. 423-429). Atlantis Press
Series/Report no.: Atlantis Studies in Uncertainty Modelling;
Abstract: In this paper we investigate two generalizations, in fuzzy logic, of classical scheme of reduction to absurdity. We compare them with two possible generalizations of classical hypothetical syllogism (in fuzzy logic) and we show that generalized hypothetical syllogism is more general. We present new results concerning solutions of an inequality and an equation connected directly with generalization of scheme of reduction to absurdity in fuzzy logic.
ISBN: 978-94-6252-770-6
ISSN: 2589-6644
Appears in Collections:Książki/rozdziały (WNŚiT)

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