[en] In this paper we describe the class of idempotent n-ary uninorms
on a given chain.When the chain is finite, we axiomatize the latter
class by means of the following conditions: associativity, quasitriviality,
symmetry, and nondecreasing monotonicity. Also, we show that associativity
can be replaced with bisymmetry in this new axiomatization.
Disciplines :
Sciences informatiques Mathématiques
Auteur, co-auteur :
DEVILLET, Jimmy ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Kiss, Gergely
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
On idempotent n-ary uninorms
Date de publication/diffusion :
24 juillet 2019
Nom de la manifestation :
16th International Conference on Modeling Decisions for Artificial Intelligence
Organisateur de la manifestation :
University of Milano-Bicocca
Lieu de la manifestation :
Milan, Italie
Date de la manifestation :
from 04-09-2019 to 06-09-2019
Manifestation à portée :
International
Titre de l'ouvrage principal :
Modeling Decisions for Artifical Intelligence
Editeur scientifique :
Torra, Vicenç
Narukawa, Yasuo
Pasi, Gabriella
Viviani, Marco
Maison d'édition :
Springer, Cham, Suisse
ISBN/EAN :
978-3-030-26772-8
Collection et n° de collection :
Series: Lecture Notes in Artificial Intelligence - Vol. 11676
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