Article (Scientific journals)
A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property
Marichal, Jean-Luc; Mathonet, Pierre
1999In IEEE Transactions on Fuzzy Systems, 7 (1), p. 93-96
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Keywords :
Aggregation operators; Interval scales; Invariance; Ordered bisymmetry property; Ordered weighted averaging operators
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
Identifiers :
UNILU:UL-ARTICLE-2010-365
Author, co-author :
Marichal, Jean-Luc ;  University of Liège, Belgium > Department of Management (FEGSS)
Mathonet, Pierre ;  University of Liège, Belgium > Institute of Mathematics
Language :
English
Title :
A characterization of the ordered weighted averaging functions based on the ordered bisymmetry property
Publication date :
February 1999
Journal title :
IEEE Transactions on Fuzzy Systems
ISSN :
1063-6706
eISSN :
1941-0034
Publisher :
IEEE
Volume :
7
Issue :
1
Pages :
93-96
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
University of Liège, Belgium
Available on ORBilu :
since 24 June 2013

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