Reference : Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a stat...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/9455
Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Mesiar, Radko mailto [Slovak University of Technology, Bratislava, Slovakia > Faculty of Civil Engineering > Dept. of Mathematics and Descriptive Geometry]
Jun-2009
Aequationes Mathematicae
Springer
77
3
207-236
Yes (verified by ORBilu)
International
0001-9054
1420-8903
Basel
Switzerland
[en] aggregation function ; ordinal scale ; order invariance ; comparison meaningfulness ; lattice polynomial function
[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.
University of Luxembourg - UL
F1R-MTH-PUL-09MRDO > MRDO > 01/01/2009 - 31/12/2011 > MARICHAL Jean-Luc
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/9455
10.1007/s00010-009-2961-2
http://arxiv.org/abs/0903.2434

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