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Unit representation of semiorders I: Countable sets

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  • 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)

  • Marc Pirlot

    (Faculté polytechnique de Mons - UMons - Université de Mons)

Abstract

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  • Denis Bouyssou & Marc Pirlot, 2021. "Unit representation of semiorders I: Countable sets," Post-Print hal-03280649, HAL.
    • Handle: RePEc:hal:journl:hal-03280649
    DOI: 10.1016/j.jmp.2021.102566
    Note: View the original document on HAL open archive server: https://hal.science/hal-03280649
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    References listed on IDEAS

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    1. Candeal, Juan Carlos & Indurain, Esteban & Zudaire, Margarita, 2002. "Numerical representability of semiorders," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 61-77, January.
    2. Gensemer, Susan H., 1988. "On numerical representations of semiorders," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 277-286, June.
    3. Avraham Beja & Itzhak Gilboa, 1989. "Numerical Representations of Imperfectly Ordered Preferences (A Unified Geometric Exposition," Discussion Papers 836, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Fuad Aleskerov & Denis Bouyssou & Bernard Monjardet, 2007. "Utility Maximization, Choice and Preference," Springer Books, Springer, edition 0, number 978-3-540-34183-3, December.
    5. Marc Pirlot, 1990. "Minimal representation of a semiorder," ULB Institutional Repository 2013/165863, ULB -- Universite Libre de Bruxelles.
    6. Abrísqueta, Francisco J. & Candeal, Juan C. & Induráin, Esteban & Zudaire, Margarita, 2009. "Scott-Suppes representability of semiorders: Internal conditions," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 245-261, March.
    7. Gensemer, Susan H., 1987. "On relationships between numerical representations of interval orders and semiorders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 157-169, October.
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