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On the Non-falsity and Threshold Preserving Variants of MTL Logics

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In this paper we study the definition and axiomatisation of non-falsity preserving and threshold preserving companions of several extensions of the Monoidal t-norm based fuzzy logic MTL. More in detail, we first extend some recent preliminary results on non-falsity preserving logics, and then we present a new study on threshold-preserving companions of the main three fuzzy logics, Łukasiewicz, Product and Gödel logics.

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Lecture Notes in Computer Science, 2025, vol. 15883, p. 335-346

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(c) Esteva Massaguer, Francesc, et al. 2025

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Articles publicats en revistes (Matemàtiques i Informàtica)

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On the Non-falsity and Threshold Preserving Variants of MTL Logics