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2023 | OriginalPaper | Chapter

1. Probabilistic Group Decision-Making Using BWT

Authors : Majid Mohammadi, Fuqi Liang, Matteo Brunelli, Jafar Rezaei

Published in: Advances in Best-Worst Method

Publisher: Springer Nature Switzerland

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Abstract

In this study, we propose a probabilistic group decision-making method based on the Best-Worst Tradeoff method (BWT) and the Bayesian approach. BWT is a pairwise comparison method that is used to elicit the tradeoffs among a set of attributes (criteria) in a multi-criteria decision-making problem. While BWT is suitable for a single decision-maker situation, Bayesian BWT is suitable for aggregating the tradeoffs among a number of criteria coming from a number of decision-makers or experts. The proposed method aggregates the scaling constants (weights), and assigns a confidence number (between zero and one), to inform about the confidence we have about the ranking order of the criteria. We demonstrate how the method is used in a real-world setting. Data is collected from three experts on ranking a number of European seaports that are performing differently with respect to a number of relevant criteria. We think that the method has great potential in real-world group decision-making problems.

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next chapter Robust Stakeholder-Based Group-Decision Making Framework: The Multi-Actor Multi-Criteria Analysis (MAMCA) with the Integration of Best-Worst Method (BWM)
Footnotes
Literature
1.
Brunelli, M. (2023). Why should not a decision analyst be content with only (\(n-1\)) pairwise comparisons? Echoes from the literature. In Proceedings of the Third International Workshop on Best-Worst Method (BWM2022) (pp. 33–40). Advances in Best-Worst Method. Springer.
2.
Dyer, J. S., & Sarin, R. K. (1979). Measurable multiattribute value functions. Operations Research, 27(4), 810–822.CrossRef
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Fishburn, P. C. (1967). Methods of estimating additive utilities. Management Science, 13(7), 435–453.CrossRef
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Greco, S., Ehrgott, M., & Figueira, J. (2016). Multiple criteria decision analysis: state of the art surveys (2nd ed.). International Series in Operations Research and Management Science. Springer.
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Keeney, R. L., & Raiffa, H. (1976). Decision analysis with multiple conflicting objectives. John Wiley & Sons.
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Keeney, R.L., & Raiffa, H. (1993). Decisions with multiple objectives: preferences and value trade-offs. Cambridge University Press.
7.
Liang, F., Brunelli, M., & Rezaei, J. (2022). Best-worst tradeoff method. Information Sciences, 610, 957–976.CrossRef
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Mohammadi, M., & Rezaei, J. (2020). Bayesian best-worst method: A probabilistic group decision making model. Omega, 96, 102075.CrossRef
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Plummer, M. (2012). Jags version 3.3.0 user manual.
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Rezaei, J. (2015). Best-worst multi-criteria decision-making method. Omega, 53, 49–57.CrossRef
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Zardari, N. H., Ahmed, K., Shirazi, S. M., & Yusop, Z. B. (2015). Weighting methods and their effects on multi-criteria decision making model outcomes in water resources management. Springer International Publishing.
Metadata
Title
Probabilistic Group Decision-Making Using BWT
Authors
Majid Mohammadi
Fuqi Liang
Matteo Brunelli
Jafar Rezaei
Copyright Year
2023
Book
Advances in Best-Worst Method

Print ISBN: 978-3-031-40327-9

Electronic ISBN: 978-3-031-40328-6

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-3-031-40328-6_1

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