Explicit descriptions of associative Sugeno integrals

Marichal, Jean-Luc; Couceiro, Miguel

Marichal, Jean-Luc; Couceiro, Miguel (2010), Explicit descriptions of associative Sugeno integrals, in Hüllermeier, Eyke; Kruse, Rudolf; Hoffmann, Frank, 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, Springer : Berlin, p. 465-470. http://dx.doi.org/10.1007/978-3-642-14055-6_48

Type

Communication / Conférence

Date

2010

Conference title

International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU2010)

Conference date

2010-06

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

Book author

Hüllermeier, Eyke; Kruse, Rudolf; Hoffmann, Frank

Publisher

Springer

Series title

Communications in Computer and Information Science

Series number

vol 80

Published in

Berlin

ISBN

978-3-642-14054-9

Number of pages

764

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.

Subjects / Keywords

Bounded distributive lattice; Sugeno integral; associativity; idempotency; functional equation