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An interactive algorithm for multiple criteria constrained sorting problem

Author

Listed:
  • Selin Özpeynirci

    () (İzmir University of Economics)

  • Özgür Özpeynirci

    () (İzmir University of Economics)

  • Vincent Mousseau

    () (CentraleSupélec, Université Paris Saclay)

Abstract

Abstract In this study, we consider the multiple criteria constrained sorting problem and propose an interactive algorithm. The problem is to assign alternatives evaluated on multiple criteria to sorted categories where categories may have size restrictions. The proposed interactive algorithm determines the eligible categories for each alternative and the alternatives with a single eligible category are assigned to the corresponding categories. In case of no such alternative exists, the algorithm asks the DM to assign an alternative to a category and proceeds. The algorithm has the capability to detect and resolve any inconsistencies that may arise during the iterations. We implement the algorithm on two different real life problems considering two underlying sorting methods, MR-Sort and UTADIS and present the computational results.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:annopr:v:267:y:2018:i:1:d:10.1007_s10479-017-2418-2
    DOI: 10.1007/s10479-017-2418-2
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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.
    2. Canan Ulu & Murat Köksalan, 2001. "An interactive procedure for selecting acceptable alternatives in the presence of multiple criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(7), pages 592-606, October.
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    4. Canan Ulu & Murat Köksalan, 2014. "An interactive approach to multicriteria sorting for quasiconcave value functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(6), pages 447-457, September.
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    8. 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.
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