Article (Scientific journals)
Characterization of some aggregation functions stable for positive linear transformations
Marichal, Jean-Luc; Mathonet, Pierre; Tousset, Eric
1999In Fuzzy Sets and Systems, 102 (2), p. 293-314
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Keywords :
Aggregation functions; Interval scale; Invariance; Algebraic properties of aggregation functions; Fuzzy multiple criteria decision making
Abstract :
[en] This paper deals with the characterization of some classes of aggregation functions often used in multicriteria decision making problems. The common properties involved in these characterizations are "increasing monotonicity" and "stability for positive linear transformations". Additional algebraic properties related to associativity allow to completely specify the functions.
Disciplines :
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2010-366
Author, co-author :
Marichal, Jean-Luc ;  University of Liège, Belgium > Department of Management (FEGSS)
Mathonet, Pierre ;  University of Liège, Belgium > Institute of Mathematics
Tousset, Eric;  University of Liège, Belgium > Institute of Mathematics
Language :
English
Title :
Characterization of some aggregation functions stable for positive linear transformations
Publication date :
01 March 1999
Journal title :
Fuzzy Sets and Systems
ISSN :
0165-0114
eISSN :
1872-6801
Publisher :
Elsevier Science, Amsterdam, Netherlands
Volume :
102
Issue :
2
Pages :
293-314
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
University of Liège, Belgium
Available on ORBilu :
since 24 June 2013

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