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Preference modelling on totally ordered sets by the Sugeno integral

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Author Info
Agnès Rico (TRT - Thales Research & Technology France - THALES, CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)
Michel Grabisch () (LIP6 - Laboratoire d'Informatique de Paris 6 - CNRS : UMR7606 - Université Pierre et Marie Curie - Paris VI)
Christophe Labreuche () (TRT - Thales Research & Technology France - THALES)
Alain Chateauneuf (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - CNRS : UMR8095 - Université Panthéon-Sorbonne - Paris I)

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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 and weak representations.

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Publisher Info
Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number hal-00268984_v1.

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Date of creation: Apr 2005
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Publication status: Published, Discrete Applied Mathematics, 2005, 147, 1, 113-124
Handle: RePEc:hal:cesptp:hal-00268984_v1

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Related research
Keywords: Preference representation; Sugeno integral; Ordinal information;

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  1. Christophe Labreuche & Michel Grabisch, 2003. "The Choquet integral for the aggregation of interval scales in multicriteria decision making," Post-Print hal-00272090_v1, HAL. [Downloadable!]
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