Reference : Explicit descriptions of associative Sugeno integrals
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/9599
Explicit descriptions of associative Sugeno integrals
English
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 >]
17-Jun-2010
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
Hüllermeier, Eyke
Kruse, Rudolf
Hoffmann, Frank
Springer-Verlag
Communications in Computer and Information Science Vol. 80
465-470
Yes
No
International
978-3-642-14054-9
Berlin
Germany
13th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2010)
[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.
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
