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An interactive approach to multicriteria sorting for quasiconcave value functions

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  • Canan Ulu
  • Murat Köksalan

Abstract

In this article, we develop an interactive algorithm to place alternatives in ordered preference classes for a decision maker (DM) with an increasing quasiconcave value function. Such value functions are quite general in that they include linear and concave value functions. Our aim is to elicit sorting information from the DM as few times as possible; our algorithm places other alternatives using previous responses from the DM utilizing properties of quasiconcave value functions. As an application, we sort 81 global MBA programs into preference classes using criteria such as alumni career progress, idea generation, and diversity. We study the performance of our proposed algorithm, when we change the number of criteria, number of alternatives, and introduce response errors. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 447–457, 2014

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:61:y:2014:i:6:p:447-457
    DOI: 10.1002/nav.21595
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    References listed on IDEAS

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    1. Köksalan, Murat & Büyükbasaran, Tayyar & Özpeynirci, Özgür & Wallenius, Jyrki, 2010. "A flexible approach to ranking with an application to MBA Programs," European Journal of Operational Research, Elsevier, vol. 201(2), pages 470-476, March.
    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.
    3. Zopounidis, Constantin & Doumpos, Michael, 2002. "Multicriteria classification and sorting methods: A literature review," European Journal of Operational Research, Elsevier, vol. 138(2), pages 229-246, April.
    4. Doumpos, Michael & Zopounidis, Constantin, 2004. "Developing sorting models using preference disaggregation analysis: An experimental investigation," European Journal of Operational Research, Elsevier, vol. 154(3), pages 585-598, May.
    5. Payne, John W & Bettman, James R & Schkade, David A, 1999. "Measuring Constructed Preferences: Towards a Building Code," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 243-270, December.
    6. Pekka Korhonen & Jyrki Wallenius & Stanley Zionts, 1984. "Solving the Discrete Multiple Criteria Problem using Convex Cones," Management Science, INFORMS, vol. 30(11), pages 1336-1345, November.
    7. Koksalan, Murat & Ulu, Canan, 2003. "An interactive approach for placing alternatives in preference classes," European Journal of Operational Research, Elsevier, vol. 144(2), pages 429-439, January.
    8. John W. Chinneck, 2008. "Feasibility and Infeasibility in Optimization," International Series in Operations Research and Management Science, Springer, number 978-0-387-74932-7, September.
    9. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2002. "Rough sets methodology for sorting problems in presence of multiple attributes and criteria," European Journal of Operational Research, Elsevier, vol. 138(2), pages 247-259, April.
    10. Murat Koksalan, M. & Taner, Orhan V., 1992. "An approach for finding the most preferred alternative in the presence of multiple criteria," European Journal of Operational Research, Elsevier, vol. 60(1), pages 52-60, July.
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    Cited by:

    1. 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.
    2. Jiapeng Liu & Miłosz Kadziński & Xiuwu Liao & Xiaoxin Mao, 2021. "Data-Driven Preference Learning Methods for Value-Driven Multiple Criteria Sorting with Interacting Criteria," INFORMS Journal on Computing, INFORMS, vol. 33(2), pages 586-606, May.
    3. Nasim Nasrabadi & Akram Dehnokhalaji & Pekka Korhonen & Jyrki Wallenius, 2019. "Using convex preference cones in multiple criteria decision making and related fields," Journal of Business Economics, Springer, vol. 89(6), pages 699-717, August.

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