Preference modeling on totally ordered sets by the Sugeno integral

Authors:
A. Rico;M. Grabisch;Ch. Labreuche;A. Chateauneuf
Affiliations:
THALES R & T, Domaine de Corbeville 91404 Orsay Cedex, France and CERMSEM Maison des sciences ééconomiques 106-112, Bld de l'Hopital, 75013 Paris, France;THALES R & T, Domaine de Corbeville 91404 Orsay Cedex, France and LIP6, UPMC, 4 Place Jussieu, 75252 Paris, France;THALES R & T, Domaine de Corbeville 91404 Orsay Cedex, France;CERMSEM Maison des sciences économiques 106-112, Bld de l'Hopital, 75013 Paris, France
Venue:
Discrete Applied Mathematics - Ordinal and symbolic data analysis (OSDA 2000)
Year:
2005

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Abstract

We present in this paper necessary and sufficient conditions for the representation of preferences in a decision-making problem, by the Sugeno integral, in a purely ordinal framework. We distinguish between strong representation (exact) and weak representation (no contradiction on strict preferences).