The article addresses the problem of sorting objects based on incomplete pairwise comparison matrices. An example of using interval-valued fuzzy logic is the ranking of the best female tennis players according to the win/loss ratios. An incomplete pairwise comparison matrix (PCM) is constructed using information obtained from the official website of the Women’s Tennis Association (WTA). The top 29 players on the official WTA rankings have their live results from 1973 to 2024 included in the database. Using Bayesian statistics, an incomplete interval-valued fuzzy preference relation is derived from the incomplete PCM, and various optimization models are used to determine the consistent interval-valued weight vectors.