Reference : Aggregation on finite ordinal scales by scale independent functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
Aggregation on finite ordinal scales by scale independent functions
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)]
Mesiar, Radko mailto [Slovak Technical University, Bratislava, Slovakia > Department of Mathematics]
Order: A Journal on the Theory of Ordered Sets and its Applications
Kluwer Academic Publishers
[en] aggregation functions ; finite ordinal scales ; order invariant functions ; smooth discrete functions ; lattice polynomials
[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.
David M. Kennedy Center for International Studies, Brigham Young University, USA ; University of Luxembourg - UL
F2R-SMA-PUL-03AADC > Aide à la décision / classification > 01/01/2003 – 31/12/2004 > BISDORFF Raymond
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