Abstract
The Best-Worst Method (BWM) is a popular multi-criteria decision-making tool to prioritize alternatives or criteria via a set of subjective pairwise judgments. Deriving the priority weights from best-to-others and others-to-worst preferences is one of the key issues, and several prioritization methods have been proposed to address it. However, their behavior and performances in different situations are yet to investigate. In this study, we analyze the performance of four prioritization methods from theoretical and experimental perspectives. For this purpose, we first show that when the given preference is fully multiplicative consistent, the prioritization methods produce the same weight priority, and it can directly obtain through the analytic formulae without solving the optimization model. For inconsistent preferences, the prioritization methods are compared in terms of deviation from the original preferences and total order violation measures. Simulation experiments suggest that Euclidean distance and order violations metric based measures could lead to different choices of prioritization methods.
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References
Brunelli, M., & Rezaei, J. (2019). A multiplicative best-worst method for multi-criteria decision making. Operations Research Letters, 47(1), 12–15.
Harker, P. T., & Vargas, L. G. (1987). The theory of ratio scale estimation: Saaty’s analytic hierarchy process. Management Science, 33(11), 1383–1403.
Liang, F., Brunelli, M., & Rezaei, J. (2020). Consistency issues in the best worst method: Measurements and thresholds. Omega, 96, 102175.
Mi, X., & Liao, H. (2019). An integrated approach to multiple criteria decision making based on the average solution and normalized weights of criteria deduced by the hesitant fuzzy best worst method. Computers & Industrial Engineering, 133, 83–94.
Rezaei, J. (2015). Best-worst multi-criteria decision-making method. Omega, 53, 49–57.
Rezaei, J. (2016). Best-worst multi-criteria decision-making method: Some properties and a linear model. Omega, 64, 126–130.
Saaty, T. L. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15(3), 234–281.
Saaty, T. L. (2008). Relative measurement and its generalization in decision making why pairwise comparisons are central in mathematics for the measurement of intangible factors the analytic hierarchy/network process. RACSAM-Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 102, 251–318.
Subramanian, N., & Ramanathan, R. (2012). A review of applications of analytic hierarchy process in operations management. International Journal of Production Economics, 138(2), 215–241.
Thurstone, L. L. (1927). A law of comparative judgment. Psychological Review, 34(4), 273.
Zyoud, S. H., & Fuchs-Hanusch, D. (2017). A bibliometric-based survey on AHP and TOPSIS techniques. Expert Systems with Applications, 78, 158–181.
Acknowledgements
This work is partially supported by the Spanish Ministry of Economy and Competitiveness through the FEDER-UJA project 1380637, and ERDF, by the Spanish Ministry of Science, Innovation and Universities through a Formación de Profesorado Universitario (FPU2019/01203) grant and by the Junta de Andalucía Andalusian Plan for Research, Development, and Innovation (POSTDOC 21-00461), and by the Grants for the Requalification of the Spanish University System for 2021–2023 in the María Zambrano modality (UJA13MZ).
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Dutta, B., García-Zamora, D., Labella, Á., Martínez, L. (2023). Which Prioritization Method Is Better for Deriving Priority from Best-Worst Preferences? A Theoretical and Experimental Analysis. In: Rezaei, J., Brunelli, M., Mohammadi, M. (eds) Advances in Best-Worst Method. BWM 2023. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-40328-6_4
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DOI: https://doi.org/10.1007/978-3-031-40328-6_4
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