Evaluating and selecting suppliers is a critical and complex process that can dramatically increase the resilience and sustainability of the agri-food supply chain. Owing to the importance of the mentioned issue, this study attempts to develop a hybrid decision-making model to study the supplier selection problem for the agri-food industry, taking into account the impacts of Industry 4.0. At first, the key research indicators are determined through literature analysis and consultation with experts. The weights of the indicators are then evaluated using the lexicographic Best-Worst Method (BWM). Following that, Viekriterijumsko Kompromisno Rangiranje (VIKOR) is employed to identify and rank potential suppliers. According to the results, the most important indicators include cost, agility, quality, pollution control, and smart factories, respectively. Also, to show the validity and robustness of the developed lexicographic BWM, its results were compared with traditional approaches, and the obtained results confirmed the validity and feasibility of the proposed method. Additionally, to demonstrate the validity of the employed VIKOR method, its ranking result was compared with another traditional approach, and the outputs demonstrated the validity of the applied method. Finally, managerial and theoretical implications are provided.