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Bayesian best-worst method: A probabilistic group decision making model

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  • Mohammadi, Majid
  • Rezaei, Jafar

Abstract

The best-worst method (BWM) is a multi-criteria decision-making method which finds the optimal weights of a set of criteria based on the preferences of only one decision-maker (DM) (or evaluator). However, it cannot amalgamate the preferences of multiple decision-makers/evaluators in the so-called group decision-making problem. A typical way of aggregating the preferences of multiple DMs is to use the average operator, e.g., arithmetic or geometric mean. However, averages are sensitive to outliers and provide restricted information regarding the overall preferences of all DMs. In this paper, a Bayesian BWM is introduced to find the aggregated final weights of criteria for a group of DMs at once. To this end, the BWM framework is meaningfully viewed from a probabilistic angle, and a Bayesian hierarchical model is tailored to compute the weights in the presence of a group of DMs. We further introduce a new ranking scheme for decision criteria, called credal ranking, where a confidence level is assigned to measure the extent to which a group of DMs prefers one criterion over one another. A weighted directed graph visualizes the credal ranking based on which the interrelation of criteria and confidences are merely understood. The numerical example validates the results obtained by the Bayesian BWM while it yields much more information in comparison to that of the original BWM.

Suggested Citation

  • Mohammadi, Majid & Rezaei, Jafar, 2020. "Bayesian best-worst method: A probabilistic group decision making model," Omega, Elsevier, vol. 96(C).
    • Handle: RePEc:eee:jomega:v:96:y:2020:i:c:s0305048318313963
    DOI: 10.1016/j.omega.2019.06.001
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    1. Edwards, Ward & Barron, F. Hutton, 1994. "SMARTS and SMARTER: Improved Simple Methods for Multiattribute Utility Measurement," Organizational Behavior and Human Decision Processes, Elsevier, vol. 60(3), pages 306-325, December.
    2. Gupta, Himanshu, 2018. "Evaluating service quality of airline industry using hybrid best worst method and VIKOR," Journal of Air Transport Management, Elsevier, vol. 68(C), pages 35-47.
    3. Negin Salimi & Jafar Rezaei, 2016. "Measuring efficiency of university-industry Ph.D. projects using best worst method," Scientometrics, Springer;Akadémiai Kiadó, vol. 109(3), pages 1911-1938, December.
    4. Negin Salimi, 2017. "Quality assessment of scientific outputs using the BWM," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(1), pages 195-213, July.
    5. Rezaei, Jafar & Hemmes, Alexander & Tavasszy, Lori, 2017. "Multi-criteria decision-making for complex bundling configurations in surface transportation of air freight," Journal of Air Transport Management, Elsevier, vol. 61(C), pages 95-105.
    6. Wu, Zhibin & Xu, Jiuping, 2016. "Managing consistency and consensus in group decision making with hesitant fuzzy linguistic preference relations," Omega, Elsevier, vol. 65(C), pages 28-40.
    7. Simonov Kusi-Sarpong & Himanshu Gupta & Joseph Sarkis, 2019. "A supply chain sustainability innovation framework and evaluation methodology," International Journal of Production Research, Taylor & Francis Journals, vol. 57(7), pages 1990-2008, April.
    8. Edmundas Kazimieras Zavadskas & Valentinas Podvezko, 2016. "Integrated Determination of Objective Criteria Weights in MCDM," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 267-283, March.
    9. Forman, Ernest & Peniwati, Kirti, 1998. "Aggregating individual judgments and priorities with the analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 108(1), pages 165-169, July.
    10. Gupta, Himanshu & Barua, Mukesh Kumar, 2016. "Identifying enablers of technological innovation for Indian MSMEs using best–worst multi criteria decision making method," Technological Forecasting and Social Change, Elsevier, vol. 107(C), pages 69-79.
    11. Yan, Hong-Bin & Ma, Tieju & Huynh, Van-Nam, 2017. "On qualitative multi-attribute group decision making and its consensus measure: A probability based perspective," Omega, Elsevier, vol. 70(C), pages 94-117.
    12. Rezaei, Jafar, 2016. "Best-worst multi-criteria decision-making method: Some properties and a linear model," Omega, Elsevier, vol. 64(C), pages 126-130.
    13. Rezaei, Jafar, 2015. "Best-worst multi-criteria decision-making method," Omega, Elsevier, vol. 53(C), pages 49-57.
    14. Morais, Danielle C. & de Almeida, Adiel Teixeira, 2012. "Group decision making on water resources based on analysis of individual rankings," Omega, Elsevier, vol. 40(1), pages 42-52, January.
    15. Mi, Xiaomei & Tang, Ming & Liao, Huchang & Shen, Wenjing & Lev, Benjamin, 2019. "The state-of-the-art survey on integrations and applications of the best worst method in decision making: Why, what, what for and what's next?," Omega, Elsevier, vol. 87(C), pages 205-225.
    16. Ann Davey & David Olson, 1998. "Multiple Criteria Decision Making Models in Group Decision Support," Group Decision and Negotiation, Springer, vol. 7(1), pages 55-75, January.
    17. Ramanathan, R. & Ganesh, L. S., 1994. "Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages," European Journal of Operational Research, Elsevier, vol. 79(2), pages 249-265, December.
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