Based on the fuzzy comprehensive evaluation theory, an index system for the quality evaluation of public physical education in colleges and universities is established, and the weights and potentials of the corresponding indicators are obtained through the expert scoring method and the analytic hierarchy process. This paper focuses on the GM (1,1) model, the equal-dimension gray number complementary dynamic model and the periodic correction model, and puts forward an improvement plan for the shortcomings and defects of the prediction algorithm. and analysis of development trends. It provides new methods and ideas for the more scientific and rational development of the teaching quality evaluation system of public physical education in colleges and universities.