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Meaningful aggregation functions mapping ordinal scales into an ordinal scale: a state of the art
Abstract
peer reviewedWe 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.F1R-MTH-PUL-09MRDO > MRDO > 01/01/2009 - 31/12/2011 > MARICHAL Jean-Lu- journal article
- http://purl.org/coar/resource_type/c_6501
- info:eu-repo/semantics/article
- peer reviewed
- aggregation function
- ordinal scale
- order invariance
- comparison meaningfulness
- lattice polynomial function
- Business & economic sciences
- Quantitative methods in economics & management
- Physical, chemical, mathematical & earth Sciences
- Mathematics
- Sciences économiques & de gestion
- Méthodes quantitatives en économie & gestion
- Physique, chimie, mathématiques & sciences de la terre
- Mathématiques
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Last time updated on 14/12/2013
This paper was published in Open Repository and Bibliography - Luxembourg.
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