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An Application of Constrained Multicriteria Sorting to Student Selection

In: Portfolio Decision Analysis

Author

Listed:
  • Julie Stal-Le Cardinal

    (Laboratoire Génie Industriel)

  • Vincent Mousseau

    (Ecole Centrale Paris)

  • Jun Zheng

    (Laboratoire Génie Industriel)

Abstract

This research considers decision situations in which a portfolio of individuals is to be selected. Criteria relative to quality of individuals conflict with constraints on the composition of the group. This work applies to student selection problems in which the group criteria conflict with the constraints relative to the student portfolio. In this chapter, we propose an innovative methodology to support such a decision. In the first step, the Electre Tri method sorts students into ordered predefined categories according to how each student individually fulfills the selection requirements; in a second analysis, a mathematical programming formulation combines the results of the first step with the requirements on the student group to select a group of students who are individually good and satisfactory as a group. The methodology identifies a portfolio of students that is a good compromise between group constraints and the Electre Tri student classification. Although this new methodology is applied in the context of student selection, it can be applied widely in other multicriteria portfolio decision contexts.

Suggested Citation

  • Julie Stal-Le Cardinal & Vincent Mousseau & Jun Zheng, 2011. "An Application of Constrained Multicriteria Sorting to Student Selection," International Series in Operations Research & Management Science, in: Ahti Salo & Jeffrey Keisler & Alec Morton (ed.), Portfolio Decision Analysis, chapter 0, pages 213-240, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-9943-6_10
    DOI: 10.1007/978-1-4419-9943-6_10
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    Citations

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    Cited by:

    1. Ciomek, Krzysztof & Kadziński, Miłosz & Tervonen, Tommi, 2017. "Heuristics for selecting pair-wise elicitation questions in multiple criteria choice problems," European Journal of Operational Research, Elsevier, vol. 262(2), pages 693-707.
    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. Selin Özpeynirci & Özgür Özpeynirci & Vincent Mousseau, 2021. "An interactive algorithm for resource allocation with balance concerns," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(4), pages 983-1005, December.
    4. Costa, Ana Sara & Corrente, Salvatore & Greco, Salvatore & Figueira, José Rui & Borbinha, José, 2020. "A robust hierarchical nominal multicriteria classification method based on similarity and dissimilarity," European Journal of Operational Research, Elsevier, vol. 286(3), pages 986-1001.
    5. Tom Pape, 2020. "Value of agreement in decision analysis: Concept, measures and application," Papers 2012.13816, arXiv.org.
    6. Murat Köksalan & Vincent Mousseau & Selin Özpeynirci, 2017. "Multi-Criteria Sorting with Category Size Restrictions," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 5-23, January.
    7. 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.
    8. Pape, Tom, 2017. "Value of agreement in decision analysis: concept, measures and application," LSE Research Online Documents on Economics 68682, London School of Economics and Political Science, LSE Library.
    9. Schäfer, Luca E. & Dietz, Tobias & Barbati, Maria & Figueira, José Rui & Greco, Salvatore & Ruzika, Stefan, 2021. "The binary knapsack problem with qualitative levels," European Journal of Operational Research, Elsevier, vol. 289(2), pages 508-514.

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