Median algebras; Aggregation Functions; Distributive lattices
Résumé :
[en] A median algebra is a ternary algebra that satisfies every equation satisfied by the median terms of distributive lattices. We present a characterization theorem for aggregation functions over conservative median algebras. In doing so, we give a characterization of conservative median algebras by means of forbidden substructures and by providing their representation as chains.
Disciplines :
Mathématiques
Auteur, co-auteur :
Couceiro, Miguel; Université de Lorraine, Nancy, France > LORIA (CNRS - Inria Nancy Grand Est)
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
TEHEUX, Bruno ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Median Preserving Aggregation Functions
Date de publication/diffusion :
juillet 2015
Nom de la manifestation :
Proc. 8th Int. Summer School on Aggregation Operators and their Applications (AGOP 2015)
Organisateur de la manifestation :
Michał Baczyński (chair) Bernard De Baets (chair) Radko Mesiar (chair)
Lieu de la manifestation :
University of Silesia, Katowice, Pologne
Date de la manifestation :
from 07-07-2015 to 10-07-2015
Manifestation à portée :
International
Titre de l'ouvrage principal :
Proceedings of the 8th Int. Summer School on Aggregation Operators
