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International Journal for Uncertainty Quantification
IF: 0.967 5-Year IF: 1.301 SJR: 0.531 SNIP: 0.8 CiteScore™: 1.52

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2017019632
pages 207-228


Nunu Wang
School of Business, Central South University, Changsha 410083, China
Hongyu Zhang
School of Business, Central South University, Changsha 410083, China


The diversity of characteristics of decision-makers (DMs) in multicriteria group decision-making (MCGDM) problems necessitates subdivision of DMs into several groups: DMs within each group should be as similar as possible, while those from different groups may show marked distinctions. In view of this, the probability multivalued linguistic neutrosophic sets (PMVLNSs) are proposed in this study, in order to depict the group evaluation information via the linguistic term sets (LTSs), which ensure more easy and accurate evaluations of DMs, as well as furnish the probability information with a comprehensive indication of the opinion distribution of DMs within each group. This paper presents a novel decision-making method with probability multivalued linguistic neutrosophic numbers (PMVLNNs) for solving the MCGDM problems with unknown weight vectors of criteria and groups. The definition of PMVLNSs is provided with further discussion of the applied comparison method, projection measurement, and aggregation operator of PMVLNNs. Then, elaboration of a novel extended interactive and multicriteria decision-making (TODIM) method with PMVLNNs for solving the MCGDM problems is described. Finally, the applicability of the proposed method is verified by its application to a practical project selection example. Feasibility of the ranking results obtained is proven by comparison with those provided by five other available methods.