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Some results about rank reversal instances in the PROMETHEE methods

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  • Céline Verly
  • Yves De Smet

Abstract

The multicriteria methods based on pairwise comparisons suffer from possible rank reversal occurrences when the set of alternatives is modified. We study this distinctive feature in the scope of the PROMETHEE I and II methods. First, empirical tests are conducted on the basis of artificial datasets in order to quantify the likelihood of rank reversal instances. Then conditions to avoid this phenomenon are provided. Finally, a comparison with a procedure based on a distillation process is performed.

Suggested Citation

  • Céline Verly & Yves De Smet, 2013. "Some results about rank reversal instances in the PROMETHEE methods," International Journal of Multicriteria Decision Making, Inderscience Enterprises Ltd, vol. 3(4), pages 325-345.
    • Handle: RePEc:ids:ijmcdm:v:3:y:2013:i:4:p:325-345
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    Citations

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    Cited by:

    1. František Zapletal, 2022. "Revised PROMETHEE algorithm with reference values," 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. 30(2), pages 521-545, June.
    2. Fontana, Veronika & Ebner, Manuel & Schirpke, Uta & Ohndorf, Markus & Pritsch, Hanna & Tappeiner, Ulrike & Kurmayer, Rainer, 2023. "An integrative approach to evaluate ecosystem services of mountain lakes using multi-criteria decision analysis," Ecological Economics, Elsevier, vol. 204(PA).
    3. Liu, Xianliang & Ma, Yonghao, 2021. "A method to analyze the rank reversal problem in the ELECTRE II method," Omega, Elsevier, vol. 102(C).
    4. Blanca Ceballos & David A. Pelta & María T. Lamata, 2018. "Rank Reversal and the VIKOR Method: An Empirical Evaluation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 513-525, March.
    5. Vicki M. Bier & Simon French, 2020. "From the Editors: Decision Analysis Focus and Trends," Decision Analysis, INFORMS, vol. 17(1), pages 1-8, March.
    6. Llamazares, Bonifacio, 2018. "An analysis of the generalized TODIM method," European Journal of Operational Research, Elsevier, vol. 269(3), pages 1041-1049.

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