Article (Scientific journals)
Characterization of some functions stable for positive linear transformations
Marichal, Jean-Luc; Mathonet, Pierre; Tousset, E.
1999In Fuzzy Sets and Systems, 102, p. 293-314
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Keywords :
Aggregation operator; Ordered bisymmetry property; Ordered weighted averaging operators; Interval scale; Invariance
Abstract :
[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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