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Preference modelling on totally ordered sets by the Sugeno integral

Author

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  • Agnès Rico

    (Thales Research and Technology [Palaiseau] - THALES [France], CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Michel Grabisch

    (DECISION - LIP6 - Laboratoire d'Informatique de Paris 6 - UPMC - Université Pierre et Marie Curie - Paris 6 - CNRS - Centre National de la Recherche Scientifique)

  • Christophe Labreuche

    (Thales Research and Technology [Palaiseau] - THALES [France])

  • Alain Chateauneuf

    (CERMSEM - CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

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.

Suggested Citation

  • Agnès Rico & Michel Grabisch & Christophe Labreuche & Alain Chateauneuf, 2005. "Preference modelling on totally ordered sets by the Sugeno integral," Post-Print hal-00268984, HAL.
    • Handle: RePEc:hal:journl:hal-00268984
    DOI: 10.1016/j.dam.2004.06.025
    Note: View the original document on HAL open archive server: https://hal.science/hal-00268984
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    Cited by:

    1. Michel Grabisch & Christophe Labreuche, 2010. "A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid," Annals of Operations Research, Springer, vol. 175(1), pages 247-286, March.
    2. Michel Grabisch, 2008. "How to score alternatives when criteria are scored on an ordinal scale," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00340381, HAL.
    3. Grabisch, Michel, 2006. "Representation of preferences over a finite scale by a mean operator," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 131-151, September.
    4. Christophe Labreuche & Michel Grabisch, 2003. "The Choquet integral for the aggregation of interval scales in multicriteria decision making," Post-Print hal-00272090, HAL.

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