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

Peide Liu () and Shufeng Cheng
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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

International Journal of Information Technology & Decision Making (IJITDM), 2020, vol. 19, issue 05, 1353-1387

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.

Keywords: Probability multi-valued neutrosophic sets; likelihood; multi-attributive border approximation area comparison; regret theory; multi-attribute group decision-making (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0219622020500303

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