Paper published in a book (Scientific congresses, symposiums and conference proceedings)
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 :
Quantitative methods in economics & management Mathematics
Author, co-author :
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
Language :
English
Title :
Explicit descriptions of associative Sugeno integrals
Publication date :
17 June 2010
Event name :
13th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2010)
Event place :
Dortmund, Germany
Event date :
from 28-06-2010 to 02-07-2010
Audience :
International
Main work title :
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
Editor :
Hüllermeier, Eyke
Kruse, Rudolf
Hoffmann, Frank
Publisher :
Springer-Verlag, Berlin, Germany
ISBN/EAN :
978-3-642-14054-9
Collection name :
Communications in Computer and Information Science Vol. 80
