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Multiattribute preference models with reference points

Author

Listed:
  • Denis Bouyssou

    (LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

  • Thierry Marchant

    (Department of Data Analysis - UGent - Universiteit Gent = Ghent University = Université de Gand)

Abstract

In the context of multiple attribute decision making, preference models making use of reference points in an ordinal way have recently been introduced in the literature. This text proposes an axiomatic analysis of such models, with a particular emphasis on the case in which there is only one reference point. Our analysis uses a general conjoint measurement model resting on the study of traces induced on attributes by the preference relation and using conditions guaranteeing that these traces are complete. Models using reference points are shown to be a particular case of this general model. The number of reference points is linked to the number of equivalence classes distinguished by the traces. When there is only one reference point, the induced traces are quite rough, distinguishing at most two distinct equivalence classes. We study the relation between the model using a single reference point and other preference models proposed in the literature, most notably models based on concordance and models based on a discrete Sugeno integral.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Denis Bouyssou & Thierry Marchant, 2013. "Multiattribute preference models with reference points," Post-Print hal-02359806, HAL.
    • Handle: RePEc:hal:journl:hal-02359806
    DOI: 10.1016/j.ejor.2013.02.046
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    Cited by:

    1. Dias, Luis C. & Antunes, Carlos Henggeler & Dantas, Guilherme & de Castro, Nivalde & Zamboni, Lucca, 2018. "A multi-criteria approach to sort and rank policies based on Delphi qualitative assessments and ELECTRE TRI: The case of smart grids in Brazil," Omega, Elsevier, vol. 76(C), pages 100-111.
    2. Labreuche, Christophe & Grabisch, Michel, 2018. "Using multiple reference levels in Multi-Criteria Decision aid: The Generalized-Additive Independence model and the Choquet integral approaches," European Journal of Operational Research, Elsevier, vol. 267(2), pages 598-611.
    3. Arwa Khannoussi & Alexandru-Liviu Olteanu & Patrick Meyer & Nawal Benabbou, 2024. "A regret-based query selection strategy for the incremental elicitation of the criteria weights in an SRMP model," Operational Research, Springer, vol. 24(2), pages 1-21, June.
    4. Ferretti, Valentina & Liu, Jun & Mousseau, V & Ouerdane, W, 2017. "Reference-based ranking procedure for environmental decision making: insights from an ex-post analysis," LSE Research Online Documents on Economics 85933, London School of Economics and Political Science, LSE Library.
    5. Alexandru-Liviu Olteanu & Khaled Belahcene & Vincent Mousseau & Wassila Ouerdane & Antoine Rolland & Jun Zheng, 2022. "Preference elicitation for a ranking method based on multiple reference profiles," 4OR, Springer, vol. 20(1), pages 63-84, March.
    6. Arwa Khannoussi & Alexandru-Liviu Olteanu & Christophe Labreuche & Patrick Meyer, 2022. "Simple ranking method using reference profiles: incremental elicitation of the preference parameters," 4OR, Springer, vol. 20(3), pages 499-530, September.

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