A Prescriptive Group Decision Making Method with Imprecise Preference Information

불충분 선호 정보하에서 처방적 그룹의사결정방법 지배 규칙에 관한 연구

  • Published : 2004.09.01

Abstract

This paper presents a prescriptive approach to group decision making with group members' imprecise preference information. This includes an alternative method to Salo's inventive approach for identifying group's preferred alternative when attribute weights, consequences, and possibly group members' importance weights are specified in imprecise ways. The imprecise additive group value function can be decomposed into individual group member's imprecise decision making problems, which are finally aggregated to identify group's preferred alternative. The proposed approach is intuitive and easy to implement, and has merits in a couple of points. First. it is possible to view individual group member's inclinations toward conflicting alternatives and the degree of discrepancies to each other. Second, we can observe how much previous decision results of individual decision maker are influenced during interaction since decisions usually are not made at a single step especially in presence of partial preference information. Finally, the individual group member's decision results can be utilized for further investigation of dominance relations among alternatives in a case that interactive questions and responses fail to give a convergent group consensus.

Keywords

References

  1. Ahn, B.S., 'Extending Malakooti's model for ranking multi-criteria alternatives with preference strength and partial information,' IEEE Transactions on Systems, Man, and Cybernetics-Part A, Vol.33(2003), pp.281-287
  2. Cook, W.D. and Seiford, L., 'Priority ranking and consensus formation,' Management Science, Vol.24(1978), pp.1721-1732
  3. Dyer, J.S, and Sarin, R.K, 'Measurable multiattribute value functions,' Operations Research, Vol.22(1979a), pp.810-822
  4. Dyer, J.S. and Sarin, R.K, 'Group preference aggregation rules based on strength of preference,' Management Science, Vol.25(1979b), pp.822-832
  5. Fishburn, P.C., 'Analysis of decisions with incomplete knowledge of probabilities,' Operations Research, Vol.13(1965), pp.217-237
  6. Harsanyi, j.C, 'Cardinal welfare, individual ethics, and interpersonal comparisons of utility theory,' Journal of Political Economy, Vol.63(1955), pp.309-321
  7. Kahneman, D. Slovic, P. and Tversky, A., Judgment Under Uncertainty: Heuristics and Biases, Cambridge : Cambridge University Press, 1982
  8. Keeney, RL. and Kirkwood, C.W., 'Group decision making using cardinal social welfare function,' Management Science, Vol.22(1975), pp.430-437
  9. Keeney, RL. and Raiffa, H., Decisions with Multiple Objectives: Preferences and Value Tradeojfs. Wiley, New York, 1976
  10. Kim, S.H. and Ahn, B.S., 'Interactive group decision making procedure under incomplete information,' European Journal of Operational Research, Vol.116(1999), pp.498-507
  11. Kim, S.H. Choi, S.H. and Kim, J.K., 'An interactive procedure for multiattribute group decision making with incomplete information,' European Journal of Operational Research, Vol.118(1999), pp.139-152
  12. Kim, S.H. and Han, C.H., 'Establishing dominance between alternatives with incomplete information in a hierarchical structured attribute tree,' European Journal of Operational Research, Vol.122(2000), pp. 79-90
  13. Kirkwood, C.W. and Sarin, R.K., 'Ranking with partial information : A method and an application,' Operations Research, Vol.33(1985), pp.38-48
  14. Kmietowcz, Z.W. and Pearman, A.D., 'Decision theory, linear partial information and statistical dominance,' Omega, Vol.12(1984) pp.391-399
  15. Korhonen, P. Moskowitz, H. Wallenius, J. and Zionts, S., 'An interactive approach to multiple criteria optimization with multiple decision-makers,' Naval Research Logistics Quarterly, Vol.33(1986), pp.589-602
  16. Park, K.S. and Kim, S.R, 'Tools for interactive multiattribute decision making with incompletely identified information,' European Journal of Operational Research, Vol.98(1997), pp.111-123
  17. Salo, A.A. and Hamalainen, R.P., 'Preference assessment by imprecise ratio statements,' Operations Research, Vol.40(1992) pp.1053-1061
  18. Salo, A.A., 'Interactive decision aiding for group decision support,' European Journal of Operational Research, Vol.84(1995), pp.134-149
  19. Salo, A.A and Hamalainen, R.P., 'Preference programming through approximate ratio comparisons,' European Journal of Operational Research, Vol.82(1995), pp.458-475
  20. Salo, A.A and Hamalainen, R.P., 'Preference ratios in multiattribute evaluation (PRIME)-elicitation and decision procedures under incomplete information,'IEEE Transactions on Systems, Man, and Cybernetics-Part A, Vol.31(2001), pp.533-545
  21. Sen, A.K., Collective Choice and Socia Welfare, Holden-Day, San Francisco, CA, 1970
  22. Weber, M., 'Decision Making with Incomplete Information,' European Journal of Operational Research, Vol.28(1987), pp.44-57
  23. Sage, A.P. and White, C.C., 'ARIADNE : a knowledge-based interactive system for planning and decision support,' IEEE Transactions on Systems, Man, and Cybernetics, Vol.14(1984), pp.35-47
  24. Zionts, S. and Wallenius, J, 'An interactive programming method for solving the multiple criteria problem,' Management Science, Vol.22(1976), pp.652-663
  25. Zionts, S., 'A multiple criteria method for choosing among discrete alternatives,' European Journal of Operational Research, Vol.7(1981), pp.143-147