Mathematical psychology is a branch of psychology, which uses mathematical models to study psychological phenomena. Describe psychological phenomena with quantitative methods. Because of the complexity of the research object, we can only give a vague qualitative description of the research, but with the development of information theory, cybernetics, statistical decision theory and computer science, mathematical psychology has also developed rapidly and made new achievements. Using mathematical models to describe psychological phenomena is not only superior to natural language description in universality, accuracy, deductive ability and predictive ability, but more importantly, it is convenient for computer simulation, which creates better assistance for the research of artificial intelligence.