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An Improved MABAC Group Decision-Making Method Using Regret Theory and Likelihood in Probability Multi-Valued Neutrosophic Sets

Author

Listed:
  • Peide Liu

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China)

  • Shufeng Cheng

    (School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan Shandong 250014, China)

Abstract

Probability multi-valued neutrosophic set (PMVNS) is a preferable tool to capture the preference and hesitancy of decision makers (DMs) and to depict inconsistent and ambiguous information. In this paper, we improve the multi-attributive border approximation area comparison (MABAC) method under the PMVNS environment and establish a three-phase multi-attribute group decision-making (MAGDM) method. Firstly, some concepts of PMVNS, traditional MABAC method and regret theory (RT) are reviewed. Then, the similarity measure for PMVNSs is defined and utilized to derive the important degree of DMs, and the likelihood of preference relations expressed by the probability multi-valued neutrosophic numbers (PMVNNs) is first presented and employed to replace the distance deviation in traditional MABAC method. Furthermore, a novel MAGDM method where the performance of alternatives is expressed by the PMVNN is established by combining the likelihood-based MABAC method and RT which considered given DMs’ behavior psychology. Finally, a case study is implemented to demonstrate the feasibility and applicability of our proposed approach.

Suggested Citation

  • Peide Liu & Shufeng Cheng, 2020. "An Improved MABAC Group Decision-Making Method Using Regret Theory and Likelihood in Probability Multi-Valued Neutrosophic Sets," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 19(05), pages 1353-1387, August.
  • Handle: RePEc:wsi:ijitdm:v:19:y:2020:i:05:n:s0219622020500303
    DOI: 10.1142/S0219622020500303
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    Cited by:

    1. Bing Yan & Yuan Rong & Liying Yu & Yuting Huang, 2022. "A Hybrid Intuitionistic Fuzzy Group Decision Framework and Its Application in Urban Rail Transit System Selection," Mathematics, MDPI, vol. 10(12), pages 1-26, June.

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