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Preference elicitation from inconsistent judgments using multi-objective optimization

Author

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  • Siraj, S.
  • Mikhailov, L.
  • Keane, J.A.

Abstract

Several decision-making techniques involve pairwise comparisons to elicit the preferences of a decision maker (DM). This paper proposes a new approach for prioritization from pairwise comparisons using the concept of indirect judgments. No method exists that simultaneously minimizes deviations from both direct and indirect judgments. In order to estimate preferences, it is sensible to consider both the acquired judgments and the other judgments latent in the DM’s mind. Hence, a technique is developed here to minimize the deviations from both types of judgments.

Suggested Citation

  • Siraj, S. & Mikhailov, L. & Keane, J.A., 2012. "Preference elicitation from inconsistent judgments using multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 220(2), pages 461-471.
  • Handle: RePEc:eee:ejores:v:220:y:2012:i:2:p:461-471
    DOI: 10.1016/j.ejor.2012.01.049
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    1. A Ishizaka & D Balkenborg & T Kaplan, 2011. "Influence of aggregation and measurement scale on ranking a compromise alternative in AHP," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(4), pages 700-710, April.
    2. Siraj, Sajid & Mikhailov, Ludmil & Keane, John, 2012. "A heuristic method to rectify intransitive judgments in pairwise comparison matrices," European Journal of Operational Research, Elsevier, vol. 216(2), pages 420-428.
    3. Carmone, Frank J. & Kara, Ali & Zanakis, Stelios H., 1997. "A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP," European Journal of Operational Research, Elsevier, vol. 102(3), pages 538-553, November.
    4. Van Ittersum, Koert & Pennings, Joost M.E. & Wansink, Brian & van Trijp, Hans C.M., 2007. "The validity of attribute-importance measurement: A review," Journal of Business Research, Elsevier, vol. 60(11), pages 1177-1190, November.
    5. Golany, B. & Kress, M., 1993. "A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices," European Journal of Operational Research, Elsevier, vol. 69(2), pages 210-220, September.
    6. Iqbal Ali & Wade D. Cook & Moshe Kress, 1986. "On the Minimum Violations Ranking of a Tournament," Management Science, INFORMS, vol. 32(6), pages 660-672, June.
    7. Lin, Chang-Chun, 2007. "A revised framework for deriving preference values from pairwise comparison matrices," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1145-1150, January.
    8. Salvatore Greco & Benedetto Matarazzo & Roman Słowiński, 2010. "Dominance-based Rough Set Approach to decision under uncertainty and time preference," Annals of Operations Research, Springer, vol. 176(1), pages 41-75, April.
    9. Patrick T. Harker & Luis G. Vargas, 1987. "The Theory of Ratio Scale Estimation: Saaty's Analytic Hierarchy Process," Management Science, INFORMS, vol. 33(11), pages 1383-1403, November.
    10. Brugha, Cathal M., 2000. "Relative measurement and the power function," European Journal of Operational Research, Elsevier, vol. 121(3), pages 627-640, March.
    11. Ergu, Daji & Kou, Gang & Peng, Yi & Shi, Yong, 2011. "A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP," European Journal of Operational Research, Elsevier, vol. 213(1), pages 246-259, August.
    12. Ludmil Mikhailov & Joshua Knowles, 2010. "Priority Elicitation in the AHP by a Pareto Envelope-Based Selection Algorithm," Lecture Notes in Economics and Mathematical Systems, in: Matthias Ehrgott & Boris Naujoks & Theodor J. Stewart & Jyrki Wallenius (ed.), Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems, pages 249-257, Springer.
    13. Hartvigsen, David, 2005. "Representing the strengths and directions of pairwise comparisons," European Journal of Operational Research, Elsevier, vol. 163(2), pages 357-369, June.
    14. Cook, Wade D. & Kress, Moshe, 1988. "Deriving weights from pairwise comparison ratio matrices: An axiomatic approach," European Journal of Operational Research, Elsevier, vol. 37(3), pages 355-362, December.
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    Cited by:

    1. Lundy, Michele & Siraj, Sajid & Greco, Salvatore, 2017. "The mathematical equivalence of the “spanning tree” and row geometric mean preference vectors and its implications for preference analysis," European Journal of Operational Research, Elsevier, vol. 257(1), pages 197-208.
    2. Bottomley, Paul A. & Doyle, John R., 2013. "Comparing the validity of numerical judgements elicited by direct rating and point allocation: Insights from objectively verifiable perceptual tasks," European Journal of Operational Research, Elsevier, vol. 228(1), pages 148-157.
    3. Bozóki, Sándor & Fülöp, János, 2018. "Efficient weight vectors from pairwise comparison matrices," European Journal of Operational Research, Elsevier, vol. 264(2), pages 419-427.
    4. Li, Kevin W. & Wang, Zhou-Jing & Tong, Xiayu, 2016. "Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices," European Journal of Operational Research, Elsevier, vol. 250(2), pages 628-638.
    5. Dong, Yucheng & Hong, Wei-Chiang & Xu, Yinfeng & Yu, Shui, 2013. "Numerical scales generated individually for analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 229(3), pages 654-662.

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