© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.During the Covid-19 outbreak, different types of vaccines have been produced and tested in different countries. However, the produced vaccines have different features from each other, and governments are undergoing a decision process for vaccine selection. Criteria such as side effects of vaccines, supply chain processes, storage conditions, costs and perception on people play a crucial role in decision-making. In this study, vaccine selection is considered in an analytical framework. In this context, we focus on vaccine selection using the interval-valued intuitionistic fuzzy VIKOR method (VIseKriterijumska Optimize Kompromisno Resenje), one of the multi-criteria decision-making methods. In addition, interval valued intuitionistic fuzzy numbers (IVIFN) have been integrated into the VIKOR method to eliminate the uncertainty in decision processes. First, the concept, comparison, and distances of IVIFNs are briefly presented in the first section. The extension classical VIKOR approach is then developed to address vaccine selection problem with IVIFNs, and its significant aspect is that it can completely accept the finite justification of decision-makers as a real progress in decision-making. In this study, the applicability of the interval-valued intuitionistic VIKOR (IVIFV) method to evaluate the vaccines produced for the covid-19 outbreak was discussed. With the IVIFV method, the performances of the vaccines based on various criteria were evaluated and a ranking is represented among the vaccines accordingly.