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An interactive procedure for selecting acceptable alternatives in the presence of multiple criteria

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  • Canan Ulu
  • Murat Köksalan

Abstract

In this paper, we consider the multiple criteria decision‐making problem of partitioning alternatives into acceptable and unacceptable sets. We develop interactive procedures for the cases when the underlying utility function of the decision maker is linear, quasiconcave, and general monotone. We present an application of the procedures to the problem of admitting students to the master's degree program at the Industrial Engineering Department, Middle East Technical University. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 592–606, 2001.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:48:y:2001:i:7:p:592-606
    DOI: 10.1002/nav.1036
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    References listed on IDEAS

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    1. Stanley Zionts & Jyrki Wallenius, 1980. "Identifying Efficient Vectors: Some Theory and Computational Results," Operations Research, INFORMS, vol. 28(3-part-ii), pages 785-793, June.
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    3. M. Murat Köksalan, 1989. "Identifying and ranking a most preferred subset of alternatives in the presence of multiple criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 359-372, August.
    4. M. Murat Köksalan & Paul N. S. Sagala, 1995. "Interactive Approaches for Discrete Alternative Multiple Criteria Decision Making with Monotone Utility Functions," Management Science, INFORMS, vol. 41(7), pages 1158-1171, July.
    5. Korhonen, Pekka, 1988. "A visual reference direction approach to solving discrete multiple criteria problems," European Journal of Operational Research, Elsevier, vol. 34(2), pages 152-159, March.
    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. 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.
    8. Pekka Korhonen & Herbert Moskowitz & Jyrki Wallenius, 1986. "A Progressive Algorithm for Modeling and Solving Multiple-Criteria Decision Problems," Operations Research, INFORMS, vol. 34(5), pages 726-731, October.
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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. 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.
    3. Murat Köksalan & Vincent Mousseau & Özgür Özpeynirci & Selin Bilgin Özpeynirci, 2009. "A new outranking‐based approach for assigning alternatives to ordered classes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(1), pages 74-85, February.
    4. 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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