Communication publiée dans un ouvrage (Colloques, congrès, conférences scientifiques et actes)
Explicit descriptions of associative Sugeno integrals
COUCEIRO, Miguel; MARICHAL, Jean-Luc
2010 • In Hüllermeier, Eyke; Kruse, Rudolf; Hoffmann, Frank (Eds.) Information Processing and Management of Uncertainty in Knowledge-Based Systems: 13th International Conference, IPMU 2010, Dortmund, Germany, June 28–July 2, 2010. Proceedings, Part I
[en] The associativity property, usually defined for binary functions, can be generalized to functions of a given fixed arity $n\geq 1$ 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.
Disciplines :
Méthodes quantitatives en économie & gestion Mathématiques
Auteur, co-auteur :
COUCEIRO, Miguel ; 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
Langue du document :
Anglais
Titre :
Explicit descriptions of associative Sugeno integrals
Date de publication/diffusion :
17 juin 2010
Nom de la manifestation :
13th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2010)
Lieu de la manifestation :
Dortmund, Allemagne
Date de la manifestation :
from 28-06-2010 to 02-07-2010
Manifestation à portée :
International
Titre de l'ouvrage principal :
Information Processing and Management of Uncertainty in Knowledge-Based Systems: 13th International Conference, IPMU 2010, Dortmund, Germany, June 28–July 2, 2010. Proceedings, Part I
Editeur scientifique :
Hüllermeier, Eyke
Kruse, Rudolf
Hoffmann, Frank
Maison d'édition :
Springer-Verlag, Berlin, Allemagne
ISBN/EAN :
978-3-642-14054-9
Collection et n° de collection :
Communications in Computer and Information Science Vol. 80
