Reference : Explicit descriptions of associative Sugeno integrals
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http://hdl.handle.net/10993/9599
Explicit descriptions of associative Sugeno integrals
English
Couceiro, Miguel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc mailto [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)
from 28-06-2010 to 02-07-2010
Dortmund
Germany
[en] bounded distributive lattice ; Sugeno integral ; associativity ; idempotency ; functional equation
[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 - UL
F1R-MTH-PUL-09MRDO > MRDO > 01/01/2009 - 31/12/2011 > MARICHAL Jean-Luc
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/9599
10.1007/978-3-642-14055-6_48
http://link.springer.com/chapter/10.1007%2F978-3-642-14055-6_48

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