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Comparison of multi-criteria decision methods through a ranking stability index

Author

Listed:
  • Mbarka Selmi
  • Tarek Kormi
  • Nizar Bel Hadj Ali

Abstract

Various multi-criteria decision-making (MCDM) procedures have been developed over the last few decades to help decision-making in complex and seemingly intractable decision tasks. A major criticism of various MCDM methods is that they may yield different results when applied to the same problem. A comparative study is proposed here to identify similarities and divergences between the most used MCDM methods. Compared approaches include: ELECTRE III, PROMETHEE I and II, TOPSIS, AHP and PEG. Two multi-criteria case studies are presented. Studied methods are employed to establish an arrangement of a number of alternatives based on two and eight conflicting criteria, respectively. A Gini index is used to quantify rankings dispersion of Pareto optima obtained through studied MCDM methods. Results highlight the sensitivity of the Pareto-compromise design and ranking to the applied MCDM method.

Suggested Citation

  • Mbarka Selmi & Tarek Kormi & Nizar Bel Hadj Ali, 2016. "Comparison of multi-criteria decision methods through a ranking stability index," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 27(1/2), pages 165-183.
    • Handle: RePEc:ids:ijores:v:27:y:2016:i:1/2:p:165-183
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    Cited by:

    1. Yohannes A. Alamerew & Marianna Lena Kambanou & Tomohiko Sakao & Daniel Brissaud, 2020. "A Multi-Criteria Evaluation Method of Product-Level Circularity Strategies," Sustainability, MDPI, vol. 12(12), pages 1-20, June.
    2. Asad Mahmoudian Azar Sharabiani & Seyed Meysam Mousavi, 2023. "A Web-Based Decision Support System for Project Evaluation with Sustainable Development Considerations Based on Two Developed Pythagorean Fuzzy Decision Methods," Sustainability, MDPI, vol. 15(23), pages 1-31, December.
    3. Kokaraki, Nikoleta & Hopfe, Christina J. & Robinson, Elaine & Nikolaidou, Elli, 2019. "Testing the reliability of deterministic multi-criteria decision-making methods using building performance simulation," Renewable and Sustainable Energy Reviews, Elsevier, vol. 112(C), pages 991-1007.
    4. Francesco Ciardiello & Andrea Genovese, 2023. "A comparison between TOPSIS and SAW methods," Annals of Operations Research, Springer, vol. 325(2), pages 967-994, June.

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