aggregation function; ordinal scale; order invariance; comparison meaningfulness; lattice polynomial function
Résumé :
[en] We present an overview of the meaningful aggregation functions mapping ordinal scales into an ordinal scale. Three main classes are discussed, namely order invariant functions, comparison meaningful functions on a single ordinal scale, and comparison meaningful functions on independent ordinal scales. It appears that the most prominent meaningful aggregation functions are lattice polynomial functions, that is, functions built only on projections and minimum and maximum operations.
Disciplines :
Méthodes quantitatives en économie & gestion Mathématiques
Identifiants :
UNILU:UL-ARTICLE-2010-416
Auteur, co-auteur :
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Mesiar, Radko; Slovak University of Technology, Bratislava, Slovakia > Faculty of Civil Engineering > Dept. of Mathematics and Descriptive Geometry
Langue du document :
Anglais
Titre :
Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art
