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Optimistic vs Pessimistic Use of Incomplete Weights in Multiple Criteria Decision Making

  • Received : 2015.06.08
  • Accepted : 2015.06.22
  • Published : 2015.11.30

Abstract

This note is concerned with the use of incomplete weights in multiple criteria decision making. In an earlier study, an optimistic use of incomplete weights is developed to prioritize decision alternatives, which applies the most favorable set of weights to the alternative to be evaluated. In this note, we develop a method for a pessimistic use, thereby applying the least favorable weight set to the evaluated alternative. This development makes possible a more detailed prioritization of competing alternatives, and hence enhances decision-making powers.

Keywords

References

  1. Debreu, G., "The coefficient of resource utilization," Econometrica 19 (1951), 273-292. https://doi.org/10.2307/1906814
  2. Farrell, M. J., "The measurement of productive efficiency," Journal of the Royal Statistical Society, Series A 120 (1957), 253-281. https://doi.org/10.2307/2343100
  3. Kmietowiz, Z. W. and A. D. Pearman, "Decision theory, linear partial information and statistical dominance," Omega 12 (1984), 391-399. https://doi.org/10.1016/0305-0483(84)90075-6
  4. Park, K. S., "Mathematical programming models for characterizing dominance and potential optimality when multicriteria alternative values and weights are simultaneously incomplete," IEEE Trans. Syst., Man, Cybern., Part A 34 (2004), 601-614. https://doi.org/10.1109/TSMCA.2004.832828
  5. Park, K. S. and J. W. Cho, "Pro-efficiency: data speak more than technical efficiency," European Journal of Operational Research 215 (2011), 301-308. https://doi.org/10.1016/j.ejor.2011.05.004
  6. Park, K. S. and D. E. Shin, "How to deal with imprecise weights in multiple criteria decision making," Global Business and Management Research: An International Journal 3 (2011), 200-214.
  7. Weber, M., "Decision making with incomplete information," European Journal of Operational Research 28 (1987), 44-57. https://doi.org/10.1016/0377-2217(87)90168-8