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Communication Dans Un Congrès Année : 2022

T-norms in Many-Valued Logics: a Representation Theorem in the ABOP Framework

Résumé

This paper proposes a study of a configurable aggregation operator in many-valued logic (MVL), called ABOP, standing for ABating OPerator. It focuses on its capacity of implementing any t-norm: the paper's main theorem offers a constructive proof of the existence of a configuration for any given MVL t-norm, showing it is a generalisation of tnorm operators. Furthermore, it specifies the corresponding parameter values. The paper then considers several examples of classical fuzzy logic t-norms adapted to MVL, and examines the corresponding parameters, as instantiation of the general representation theorem.
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Dates et versions

hal-03832483 , version 1 (27-10-2022)

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Citer

Marie-Jeanne Lesot, Adrien Revault d'Allonnes. T-norms in Many-Valued Logics: a Representation Theorem in the ABOP Framework. IEEE World Congress on Computational Intelligence (WCCI) 2022, Jul 2022, Padoue, Italy. ⟨10.1109/FUZZ-IEEE55066.2022.9882563⟩. ⟨hal-03832483⟩
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