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A multidimensional spatial model for preference representation in multi-criteria group decision aiding

Author

Listed:
  • Arwa Khannoussi

    (IMT Atlantique, Lab-STICC, UMR CNRS 6285)

  • Antoine Rolland

    (ERIC, Univ Lyon, Univ Lyon 2, ERIC UR 3083)

  • Julien Velcin

    (ERIC, Univ Lyon, Univ Lyon 2, ERIC UR 3083)

Abstract

In this work we propose to use a multidimensional spatial model to represent preferences of a group of decision makers in multi-criteria decision aiding. The decision makers are represented in a shared space with the alternatives so that their positions are consistent with the preferences that they express on pairs of alternatives. We show how the parameters of this preference model can be learnt from holistic preference judgements, and discuss its various consequences and properties.

Suggested Citation

  • Arwa Khannoussi & Antoine Rolland & Julien Velcin, 2025. "A multidimensional spatial model for preference representation in multi-criteria group decision aiding," 4OR, Springer, vol. 23(2), pages 163-191, June.
    • Handle: RePEc:spr:aqjoor:v:23:y:2025:i:2:d:10.1007_s10288-024-00579-3
    DOI: 10.1007/s10288-024-00579-3
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    References listed on IDEAS

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    1. Mareschal, Bertrand & Brans, Jean-Pierre, 1988. "Geometrical representations for MCDA," European Journal of Operational Research, Elsevier, vol. 34(1), pages 69-77, February.
    2. Eguia, Jon X., 2011. "Foundations of spatial preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 200-205, March.
    3. Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, vol. 135(1), pages 269-305, July.
    4. Liu, Jiapeng & Liao, Xiuwu & Kadziński, Miłosz & Słowiński, Roman, 2019. "Preference disaggregation within the regularization framework for sorting problems with multiple potentially non-monotonic criteria," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1071-1089.
    5. Anghel Negriu & Cyrille Piatecki, 2012. "On the performance of voting systems in spatial voting simulations," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 7(1), pages 63-77, May.
    6. Figueira, Jose & Roy, Bernard, 2002. "Determining the weights of criteria in the ELECTRE type methods with a revised Simos' procedure," European Journal of Operational Research, Elsevier, vol. 139(2), pages 317-326, June.
    7. Jon Eguia, 2013. "On the spatial representation of preference profiles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 103-128, January.
    8. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    9. Jacquet-Lagreze, Eric & Siskos, Yannis, 2001. "Preference disaggregation: 20 years of MCDA experience," European Journal of Operational Research, Elsevier, vol. 130(2), pages 233-245, April.
    10. Ghaderi, Mohammad & Ruiz, Francisco & Agell, Núria, 2017. "A linear programming approach for learning non-monotonic additive value functions in multiple criteria decision aiding," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1073-1084.
    11. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1984. "Prométhée: a new family of outranking methods in multicriteria analysis," ULB Institutional Repository 2013/9305, ULB -- Universite Libre de Bruxelles.
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