Purpose –In this paper, we investigate the multi-attribute group decision-making (MAGDM) method for single-valued neutrosophic credibility numbers (SvNCNs), consider a consensus model for group decision-making (GDM) in SvNCN environments, and construct a decision-support system for the evaluation of suppliers of data analysis tools (DAT).
Design/methodology/approach –First, the concept of SvNCNs and the related theory are given, and several dice distance measures for SvNCNs are proposed. Secondly, a consensus model in the SvNCN environment is proposed. At the same time, the subjective and objective weights of attributes are determined by using the AHP method and MEREC method, and the combined weights are calculated based on the Uninorm operator. Then, considering the “limited rationality” behavior of decision makers (DMs), the CPT is integrated into the EDAS method. Finally, an example analysis and comparative analysis are conducted to verify the effectiveness and feasibility of the technique.
Findings –This method enriches the MAGDM theory of SvNCNs by considering group consensus, CPT, and the Uninorm operator to determine the combination weights.
Research limitations/implications –This study contributes to the literature on fuzzy set theory and MAGDM methods, enriching the theoretical and application scenarios of SvNCNs.
Practical implications –This research informs decision information for decision theory for SvNCNs, which applies to several domains, such as MAGDM, large-scale group decision-making, mathematical statistics, and artificial intelligence.
Originality/value –This technique combined the consensus model, CPT-EDAS, and Uninorm operator to enrich the decision theory of SvNCNs.