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Multiple criteria sorting models and methods. Part II: theoretical results and general issues

Author

Listed:
  • Khaled Belahcène

    (Université de Technologie de Compiègne)

  • Vincent Mousseau

    (Université Paris-Saclay)

  • Wassila Ouerdane

    (Université Paris-Saclay)

  • Marc Pirlot

    (Université de Mons)

  • Olivier Sobrie

    (Université de Mons)

Abstract

Multiple criteria sorting methods assign objects into ordered categories while objects are characterized by a vector of n attributes values. Categories are ordered, and the assignment of the object is monotonic w.r.t. to some underlying order on the attributes scales (criteria). We drew a landscape of these methods in Part I “Survey of the literature” (published in a previous issue of the present journal) and we aim to provide a theoretical view of the field in this second part. We describe a general framework for MCS models and position some existing models in the picture. Issues related to imperfect or insufficient information are then discussed. We also address questions that arise in the final phase of a decision aiding process as, e.g., explaining a recommendation or suggesting efficient ways of improving an object assignment.

Suggested Citation

  • Khaled Belahcène & Vincent Mousseau & Wassila Ouerdane & Marc Pirlot & Olivier Sobrie, 2023. "Multiple criteria sorting models and methods. Part II: theoretical results and general issues," 4OR, Springer, vol. 21(2), pages 181-204, June.
    • Handle: RePEc:spr:aqjoor:v:21:y:2023:i:2:d:10.1007_s10288-022-00531-3
    DOI: 10.1007/s10288-022-00531-3
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    References listed on IDEAS

    as
    1. Greco, Salvatore & Mousseau, Vincent & Slowinski, Roman, 2010. "Multiple criteria sorting with a set of additive value functions," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1455-1470, December.
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    Full references (including those not matched with items on IDEAS)

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