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Effects of imprecise weighting in hierarchical preference programming

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  • Mustajoki, Jyri

Abstract

Preference programming is a general term for multi-criteria decision analytical approaches allowing incomplete preference information. In the PAIRS method, interval judgments are assigned to weight ratios between attributes to model imprecision in multi-attribute value trees. This paper studies the effects of a hierarchical model structure on the overall imprecision, as the form of the hierarchy also affects the form of imprecision that can be assigned to the model. The aim is to find out good procedural practices for reducing overall imprecision descending inherently from the model structure. The study provides simulation results about the ability of various weighting schemes to identify dominated alternatives, which are discussed with respect to other issues related to the weighting process. According to the results, a hierarchical model is structurally somewhat more unable to identify dominances than a corresponding nonhierarchical model, but its cognitive advantages often cancel out this. The results also suggest paying reasonable attention to the precision of the lower level judgments and to identifying possible correlations between the criteria.

Suggested Citation

  • Mustajoki, Jyri, 2012. "Effects of imprecise weighting in hierarchical preference programming," European Journal of Operational Research, Elsevier, vol. 218(1), pages 193-201.
    • Handle: RePEc:eee:ejores:v:218:y:2012:i:1:p:193-201
    DOI: 10.1016/j.ejor.2011.10.033
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    1. Vetschera, Rudolf & Chen, Ye & Hipel, Keith W. & Marc Kilgour, D., 2010. "Robustness and information levels in case-based multiple criteria sorting," European Journal of Operational Research, Elsevier, vol. 202(3), pages 841-852, May.
    2. Guo, Peijun & Tanaka, Hideo, 2010. "Decision making with interval probabilities," European Journal of Operational Research, Elsevier, vol. 203(2), pages 444-454, June.
    3. Craig W. Kirkwood & Rakesh K. Sarin, 1985. "Ranking with Partial Information: A Method and an Application," Operations Research, INFORMS, vol. 33(1), pages 38-48, February.
    4. Salvatore Greco & Roman Słowiński & José Rui Figueira & Vincent Mousseau, 2010. "Robust Ordinal Regression," International Series in Operations Research & Management Science, in: Matthias Ehrgott & José Rui Figueira & Salvatore Greco (ed.), Trends in Multiple Criteria Decision Analysis, chapter 0, pages 241-283, Springer.
    5. Poyhonen, Mari & Vrolijk, Hans & Hamalainen, Raimo P., 2001. "Behavioral and procedural consequences of structural variation in value trees," European Journal of Operational Research, Elsevier, vol. 134(1), pages 216-227, October.
    6. Martin Weber & Franz Eisenführ & Detlof von Winterfeldt, 1988. "The Effects of Splitting Attributes on Weights in Multiattribute Utility Measurement," Management Science, INFORMS, vol. 34(4), pages 431-445, April.
    7. Greco, Salvatore & Mousseau, Vincent & Slowinski, Roman, 2008. "Ordinal regression revisited: Multiple criteria ranking using a set of additive value functions," European Journal of Operational Research, Elsevier, vol. 191(2), pages 416-436, December.
    8. Arbel, Ami, 1989. "Approximate articulation of preference and priority derivation," European Journal of Operational Research, Elsevier, vol. 43(3), pages 317-326, December.
    9. M. Weber, 1985. "A Method of Multiattribute Decision Making with Incomplete Information," Management Science, INFORMS, vol. 31(11), pages 1365-1371, November.
    10. Insua, David Rios & French, Simon, 1991. "A framework for sensitivity analysis in discrete multi-objective decision-making," European Journal of Operational Research, Elsevier, vol. 54(2), pages 176-190, September.
    11. Mats Danielson, 2004. "Handling Imperfect User Statements In Real-Life Decision Analysis," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 513-534.
    12. Mustajoki, Jyri & Hamalainen, Raimo P. & Lindstedt, Mats R.K., 2006. "Using intervals for global sensitivity and worst-case analyses in multiattribute value trees," European Journal of Operational Research, Elsevier, vol. 174(1), pages 278-292, October.
    13. Durbach, Ian N. & Stewart, Theodor J., 2009. "Using expected values to simplify decision making under uncertainty," Omega, Elsevier, vol. 37(2), pages 312-330, April.
    14. Salo, Ahti A. & Hamalainen, Raimo P., 1995. "Preference programming through approximate ratio comparisons," European Journal of Operational Research, Elsevier, vol. 82(3), pages 458-475, May.
    15. Hodgkin, Julie & Belton, Valerie & Koulouri, Anastasia, 2005. "Supporting the intelligent MCDA user: A case study in multi-person multi-criteria decision support," European Journal of Operational Research, Elsevier, vol. 160(1), pages 172-189, January.
    16. Ahti A. Salo & Raimo P. Hämäläinen, 1992. "Preference Assessment by Imprecise Ratio Statements," Operations Research, INFORMS, vol. 40(6), pages 1053-1061, December.
    17. Ahn, Byeong Seok & Sam Park, Kyung & Hee Han, Chang & Kyeong Kim, Jae, 2000. "Multi-attribute decision aid under incomplete information and hierarchical structure," European Journal of Operational Research, Elsevier, vol. 125(2), pages 431-439, September.
    18. Butler, John & Jia, Jianmin & Dyer, James, 1997. "Simulation techniques for the sensitivity analysis of multi-criteria decision models," European Journal of Operational Research, Elsevier, vol. 103(3), pages 531-546, December.
    19. Angilella, Silvia & Greco, Salvatore & Lamantia, Fabio & Matarazzo, Benedetto, 2004. "Assessing non-additive utility for multicriteria decision aid," European Journal of Operational Research, Elsevier, vol. 158(3), pages 734-744, November.
    20. Craig W. Kirkwood, 1992. "Estimating the Impact of Uncertainty on a Deterministic Multiattribute Evaluation," Management Science, INFORMS, vol. 38(6), pages 819-826, June.
    21. William G. Stillwell & Detlof von Winterfeldt & Richard S. John, 1987. "Comparing Hierarchical and Nonhierarchical Weighting Methods for Eliciting Multiattribute Value Models," Management Science, INFORMS, vol. 33(4), pages 442-450, April.
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