In this paper, a novel group decision-making method is proposed based on the weighted SBM model of data envelopment analysis (DEA) and intuitionistic fuzzy preference relations (IFPRs). Indeed, for the data fuzzy numbers set, the main aim of this study is to measure the efficiency of different alternatives in the framework of IFPRs by the weighted SBM model. In this regard, first, the interval transform function is used to convert IFPRs into interval multiplicative preference relations. After calculating the efficiency, the optimal weights for each IFPR are identified using two cross-efficiency models to obtain the normalized intuitionistic fuzzy priority vector. Then, an algorithm for group decision-making is proposed using a goal programming, SBM model with ideal weights and IFPRs to rank the units. Finally, the model is implemented numerically, and the results are also compared with other models, including the output-oriented Charnes-Cooper-Rhodes) CCR (and basic Banker-Charnes-Cooper (BCC) models. It is shown that the proposed method outperforms traditional CCR and BCC models and provides more reasonable results.