Characterizations of idempotent discrete uninorms

Miguel Couceiro 1 Jimmy Devillet 2 Jean-Luc Marichal 2
1 ORPAILLEUR - Knowledge representation, reasonning
Inria Nancy - Grand Est, LORIA - NLPKD - Department of Natural Language Processing & Knowledge Discovery
Abstract : In this paper we provide an axiomatic characterization of the idempotent discrete uninorms by means of three conditions only: conservativeness, symmetry, and nondecreasing monotonicity. We also provide an alternative characterization involving the bisymmetry property. Finally, we provide a graphical characterization of these operations in terms of their contour plots, and we mention a few open questions for further research.
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Fuzzy Sets and Systems, Elsevier, 2017
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https://hal.inria.fr/hal-01447513
Contributeur : Miguel Couceiro <>
Soumis le : lundi 30 janvier 2017 - 13:48:32
Dernière modification le : jeudi 11 janvier 2018 - 06:25:24

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Miguel Couceiro, Jimmy Devillet, Jean-Luc Marichal. Characterizations of idempotent discrete uninorms. Fuzzy Sets and Systems, Elsevier, 2017. 〈hal-01447513〉

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