[en] In this paper we provide two axiomatizations of the class of idempotent discrete uninorms as conservative binary operations, where an operation is conservative if it always outputs one of its input values. More precisely we first show that the idempotent discrete uninorms are exactly those operations that are conservative, symmetric, and nondecreasing in each variable. Then we show that, in this characterization, symmetry can be replaced with both bisymmetry and existence of a neutral element.
Disciplines :
Sciences informatiques Mathématiques
Auteur, co-auteur :
Couceiro, Miguel; LORIA, CNRS - Inria Nancy Grand Est - Université de Lorraine
DEVILLET, Jimmy ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
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 discrete uninorms
Date de publication/diffusion :
juin 2017
Nom de la manifestation :
Proc. 9th Int. Summer School on Aggregation Operators and their Applications (AGOP 2017)
Organisateur de la manifestation :
Vicenç Torra
Lieu de la manifestation :
Skövde, Suède
Date de la manifestation :
from 19-06-2017 to 22-06-2017
Manifestation à portée :
International
Titre de l'ouvrage principal :
Aggregation Functions in Theory and in Practice
Auteur, co-auteur :
De Baets, Bernard
Editeur scientifique :
Torra, Vicenç
Mesiar, Radko
Maison d'édition :
Springer, Berlin, Allemagne
Edition :
2018
ISBN/EAN :
978-3-319-59306-7
Collection et n° de collection :
Series: Advances in Intelligent Systems and Computing, Vol. 581
