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An interactive probabilistic approach to multi-criteria sorting

Author

Listed:
  • Asli Buğdaci
  • Murat Köksalan
  • Selin Özpeynirci
  • Yasemin Serin

Abstract

This article addresses the problem of sorting alternatives evaluated by multiple criteria among preference-ordered classes. An interactive probabilistic sorting approach is developed in which the probability of an alternative being in each class is calculated and alternatives are assigned to classes keeping the probability of incorrect assignments below a specified small threshold value. The decision maker is occasionally required to place alternatives to classes. The probabilities for unassigned alternatives are updated in light of the new information and the procedure is repeated until all alternatives are classified. This is the first sorting approach reported in the literature to use an explicit probability of classifying alternatives that is consistent with the underlying preference structure of the decision maker. The proposed approach is demonstrated in a problem concerning the sorting MBA programs.

Suggested Citation

  • Asli Buğdaci & Murat Köksalan & Selin Özpeynirci & Yasemin Serin, 2013. "An interactive probabilistic approach to multi-criteria sorting," IISE Transactions, Taylor & Francis Journals, vol. 45(10), pages 1048-1058.
    • Handle: RePEc:taf:uiiexx:v:45:y:2013:i:10:p:1048-1058
    DOI: 10.1080/0740817X.2012.721945
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    Cited by:

    1. Kadziński, Miłosz & Ciomek, Krzysztof, 2021. "Active learning strategies for interactive elicitation of assignment examples for threshold-based multiple criteria sorting," European Journal of Operational Research, Elsevier, vol. 293(2), pages 658-680.
    2. Selin Özpeynirci & Özgür Özpeynirci & Vincent Mousseau, 2018. "An interactive algorithm for multiple criteria constrained sorting problem," Annals of Operations Research, Springer, vol. 267(1), pages 447-466, August.
    3. Fernández, Eduardo & Figueira, José Rui & Navarro, Jorge & Solares, Efrain, 2023. "A generalized approach to ordinal classification based on the comparison of actions with either limiting or characteristic profiles," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1309-1322.

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