In this paper, we propose a consistency and consensus-based method to solve the group decision-making (GDM) problems within the framework of interval-valued intuitionistic multiplicative preference relations (IVIMPRs). First, we introduce a similarity measure that expresses the similarity between two decision makers (DMs). Then, a similarity-based consensus index is offered to evaluate closeness between individuals' judgments. Based on the consensus index, the concept of acceptable consensus for IVIMPRs is presented. In the sequel, a consistency and consensus improvement model that aims at retaining original opinions of the DMs is introduced to make consistency and consensus of IVIMPRs acceptable. Moreover, the DMs' comprehensive weights are obtained by combining their subjective weights and objective weights. Afterward, to derive priority weights of alternatives, a programming model is established and solved by three approaches considering DMs' different risk attitudes. Finally, a GDM method with IVIMPRs is offered, and its application to select the partners is offered.
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