Article (Scientific journals)
Aggregation on finite ordinal scales by scale independent functions
Marichal, Jean-Luc; Mesiar, Radko
2004In Order: A Journal on the Theory of Ordered Sets and its Applications, 21 (2), p. 155-180
Peer reviewed
 

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Keywords :
aggregation functions; finite ordinal scales; order invariant functions; smooth discrete functions; lattice polynomials
Abstract :
[en] We define and investigate the scale independent aggregation functions that are meaningful to aggregate finite ordinal numerical scales. Here scale independence means that the functions always have discrete representatives when the ordinal scales are considered as totally ordered finite sets. We also show that those scale independent functions identify with the so-called order invariant functions, which have been described recently. In particular, this identification allows us to justify the continuity property for certain order invariant functions in a natural way.
Disciplines :
Quantitative methods in economics & management
Mathematics
Identifiers :
UNILU:UL-ARTICLE-2010-387
Author, co-author :
Marichal, Jean-Luc ;  University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)
Mesiar, Radko;  Slovak Technical University, Bratislava, Slovakia > Department of Mathematics
Language :
English
Title :
Aggregation on finite ordinal scales by scale independent functions
Publication date :
May 2004
Journal title :
Order: A Journal on the Theory of Ordered Sets and its Applications
ISSN :
1572-9273
Publisher :
Kluwer Academic Publishers
Volume :
21
Issue :
2
Pages :
155-180
Peer reviewed :
Peer reviewed
Name of the research project :
F2R-SMA-PUL-03AADC > Aide à la décision / classification > 01/01/2003 – 31/12/2004 > BISDORFF Raymond
Funders :
David M. Kennedy Center for International Studies, Brigham Young University, USA
University of Luxembourg - UL
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since 24 June 2013

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