Characterization of some functions stable for positive linear transformations

[en] This paper deals with a characterization of a class of aggregation operators. This class concerns operators which are symmetric, increasing, stable for the same positive linear transformations and present a property close to the bisymmetry property: the ordered bisymmetry property. It is proved that the class investigated contains exactly the ordered weighted averaging operators (OWA) introduced by Yager in 1988.

Disciplines :

Mathematics

Author, co-author :

Marichal, Jean-Luc

Mathonet, Pierre ; Université de Liège - ULiège > Département de mathématique > Département de mathématique

Tousset, E.

Language :

English

Title :

Characterization of some functions stable for positive linear transformations

Publication date :

1999

Journal title :

Fuzzy Sets and Systems

ISSN :

0165-0114

eISSN :

1872-6801

Publisher :

Elsevier Science, Amsterdam, Netherlands

Volume :

102

Pages :

293-314

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 09 July 2010

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Bibliography

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