Characterization of some aggregation functions stable for positive linear transformations

[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 :

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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