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An approach for solving discrete alternative multiple criteria problems involving ordinal criteria

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  • Murat Köksalan
  • Mark H. Karwan
  • Stanley Zionts

Abstract

The existence of ordinal criteria is a factor that complicates multiple criteria problems. In this article we develop an approach for the problem of choosing among discrete alternatives assuming that criteria are ordinal. The approach requires pairwise comparisons of alternatives by the decision maker. Based on these comparisons, presumably inferior alternatives are eliminated. Experience on randomly generated problems indicates that the approach usually chooses one of the most preferred alternatives and requires a small number of pairwise comparisons.

Suggested Citation

  • Murat Köksalan & Mark H. Karwan & Stanley Zionts, 1988. "An approach for solving discrete alternative multiple criteria problems involving ordinal criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(6), pages 625-641, December.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:6:p:625-641
    DOI: 10.1002/1520-6750(198812)35:63.0.CO;2-E
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    References listed on IDEAS

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    1. Rivett, Patrick, 1977. "Multidimension scaling for multiobjective policies," Omega, Elsevier, vol. 5(4), pages 367-379.
    2. Siskos, J., 1982. "A way to deal with fuzzy preferences in multi-criteria decision problems," European Journal of Operational Research, Elsevier, vol. 10(3), pages 314-324, July.
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    1. Robert F. Dell & Mark H. Karwan, 1990. "An interactive MCDM weight space reduction method utilizing a tchebycheff utility function," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(2), pages 263-277, April.
    2. Lahdelma, Risto & Salminen, Pekka & Kuula, Markku, 2003. "Testing the efficiency of two pairwise comparison methods in discrete multiple criteria problems," European Journal of Operational Research, Elsevier, vol. 145(3), pages 496-508, March.
    3. Leskinen, Pekka & Kangas, Annika S. & Kangas, Jyrki, 2004. "Rank-based modelling of preferences in multi-criteria decision making," European Journal of Operational Research, Elsevier, vol. 158(3), pages 721-733, November.
    4. Sun, Minghe & Steuer, Ralph E., 1996. "InterQuad: An interactive quad tree based procedure for solving the discrete alternative multiple criteria problem," European Journal of Operational Research, Elsevier, vol. 89(3), pages 462-472, March.
    5. Wade D. Cook & Moshe Kress, 1996. "An extreme‐point approach for obtaining weighted ratings in qualitative multicriteria decision making," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(4), pages 519-531, June.
    6. 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.
    7. Min, Hokey & Mitra, Amitava & Oswald, Sharon, 1997. "Competitive benchmarking of health care quality using the analytic hierarchy process: an example from Korean cancer Clinics," Socio-Economic Planning Sciences, Elsevier, vol. 31(2), pages 147-159, June.

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