In the conditions of the Digital Economy, rapid turbulent changes in the environment, it becomes vitally important to constantly adjust the priority of previously planned activities, individual tasks and requirements for project solutions, and, first of all, in the field of IT, projects in portfolios, etc. This happens under conditions of increase in the volume of qualitative data, the processing of which at the initial stages of their appearance requires the use of expert methods. However, existing expert methods have been developed to work with small amounts of data.Therefore, the increased interest in the field of portfolio management and business analysis in the development of new universal methods to prioritize big meaningful data is quite justified. The minimax ranking method described in the work is based on taking into account the psychological features of the human brain perception of information about positive and negative emotions, the presence of a sensitivity threshold in identifying differences between two objects, stimuli, etc.Application of the method allows solving the problems of prioritizing projects of large strategic portfolios of companies. The use of the information obtained in this case makes it possible to conduct a business analysis to identify differences in the level of prioritization between groups of projects within the portfolio, both from the standpoint of their holistic perception, and by the totality of the given prioritization parameters.