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Robustness and information levels in case-based multiple criteria sorting

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  • Vetschera, Rudolf
  • Chen, Ye
  • Hipel, Keith W.
  • Marc Kilgour, D.

Abstract

Case-based preference elicitation methods for multiple criteria sorting problems have the advantage of posing rather small cognitive demands on a decision maker, but they may lead to ambiguous results when preference parameters are not uniquely determined. We use a simulation approach to determine the extent of this problem and to study the impact of additional case information on the quality of results. Our experiments compare two decision analysis tools, case-based distance sorting and the simple additive weighting method, in terms of the effects of additional case information on sorting performance, depending on problem dimension - number of groups, number of criteria, etc. Our results confirm the expected benefit of additional case information on the precision of estimates of the decision maker's preferences. Problem dimension, however, has some unexpected effects.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:202:y:2010:i:3:p:841-852
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    4. Kadziński, Miłosz & Ciomek, Krzysztof, 2021. "Active learning strategies for interactive elicitation of assignment examples for threshold-based multiple criteria sorting," European Journal of Operational Research, Elsevier, vol. 293(2), pages 658-680.
    5. Liu, Jiapeng & Liao, Xiuwu & Yang, Jian-bo, 2015. "A group decision-making approach based on evidential reasoning for multiple criteria sorting problem with uncertainty," European Journal of Operational Research, Elsevier, vol. 246(3), pages 858-873.
    6. Mustajoki, Jyri, 2012. "Effects of imprecise weighting in hierarchical preference programming," European Journal of Operational Research, Elsevier, vol. 218(1), pages 193-201.
    7. Fu-Ling Cai & Xiuwu Liao & Kan-Liang Wang, 2012. "An interactive sorting approach based on the assignment examples of multiple decision makers with different priorities," Annals of Operations Research, Springer, vol. 197(1), pages 87-108, August.
    8. Zhen Zhang & Zhuolin Li, 2023. "Consensus-based TOPSIS-Sort-B for multi-criteria sorting in the context of group decision-making," Annals of Operations Research, Springer, vol. 325(2), pages 911-938, June.
    9. Doumpos, Michael & Zopounidis, Constantin & Galariotis, Emilios, 2014. "Inferring robust decision models in multicriteria classification problems: An experimental analysis," European Journal of Operational Research, Elsevier, vol. 236(2), pages 601-611.
    10. Fernández, Eduardo & Figueira, José Rui & Navarro, Jorge, 2019. "An interval extension of the outranking approach and its application to multiple-criteria ordinal classification," Omega, Elsevier, vol. 84(C), pages 189-198.
    11. Christoph Graf & Magdalena Six, 2014. "The effect of information on the quality of decisions," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(4), pages 647-662, December.
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    13. Doumpos, Michael & Zopounidis, Constantin, 2011. "Preference disaggregation and statistical learning for multicriteria decision support: A review," European Journal of Operational Research, Elsevier, vol. 209(3), pages 203-214, March.
    14. Ichiro Nishizaki & Tomohiro Hayashida & Masakazu Ohmi, 2016. "Multiattribute decision analysis using strict preference relations," Annals of Operations Research, Springer, vol. 245(1), pages 379-400, October.
    15. de Almeida Filho, Adiel T. & Clemente, Thárcylla R.N. & Morais, Danielle Costa & de Almeida, Adiel Teixeira, 2018. "Preference modeling experiments with surrogate weighting procedures for the PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 264(2), pages 453-461.

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