Date
2010
Titre de la collection
Communications in Computer and Information Science
n° dans la collection
vol 80
Indexation documentaire
Algèbre
Subject
Bounded distributive lattice; Sugeno integral; associativity; idempotency; functional equation
Titre du colloque
International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU2010)
Date du colloque
06-2010
Ville du colloque
Dortmund
Pays du colloque
Allemagne
Titre de l'ouvrage
Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. 13th International Conference, IPMU 2010, Dortmund, Germany, June 28–July 2, 2010. Proceedings, Part I
Auteur
Hüllermeier, Eyke; Kruse, Rudolf; Hoffmann, Frank
Nom de l'éditeur
Springer
Ville de l'éditeur
Berlin
Année
2010
Nombre total de pages
764
ISBN
978-3-642-14054-9
Auteur
Marichal, Jean-Luc
Couceiro, Miguel
Type
Communication / Conférence
Nombre de pages du document
465-470
Résumé en anglais
The associativity property, usually defined for binary functions, can be generalized to functions of a given fixed arity n ≥ 1 as well as to functions of multiple arities. In this paper, we investigate these two generalizations in the case of Sugeno integrals over bounded distributive lattices and present explicit descriptions of the corresponding associative functions. We also show that, in this case, both generalizations of associativity are essentially the same.
