Date
2010
Collection title
Communications in Computer and Information Science
Collection Id
vol 80
Dewey
Algèbre
Sujet
Bounded distributive lattice; Sugeno integral; associativity; idempotency; functional equation
Conference name
International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU2010)
Conference date
06-2010
Conference city
Dortmund
Conference country
Allemagne
Book title
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
Author
Hüllermeier, Eyke; Kruse, Rudolf; Hoffmann, Frank
Publisher
Springer
Publisher city
Berlin
Year
2010
Pages number
764
ISBN
978-3-642-14054-9
Author
Marichal, Jean-Luc
Couceiro, Miguel
Type
Communication / Conférence
Item number of pages
465-470
Abstract (EN)
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.
