How can we effectively promote and improve the quality of innovation and entrepreneurship education in colleges and universities? The key lies in enhancing the capacity of teachers to impart innovative entrepreneurial education. The article takes the requirements of innovation and entrepreneurship education and the connotation of teaching ability as the orientation and establishes the evaluation index system of dual innovation education teaching ability of college teachers by combining the CIPP model. The IAHP method and the improved CRITIC method, respectively, calculate the subjective and objective weights of each index in the index system, and then they introduce the game theory idea to amalgamate and assign weights to the index system Based on the gray fuzzy mathematical theory, a fuzzy comprehensive evaluation model of the teaching ability of innovation and entrepreneurship education among college teachers was established. Using University Y as the research object, data analysis was carried out to determine the differences between teachers’ dual entrepreneurship teaching abilities, comprehensive evaluation, and the application effectiveness of the evaluation system. The maximum mean value for teachers’ innovative entrepreneurship education teaching ability is 4,085, and the minimum skewness coefficient is only −0.475, suggesting a trend towards correct skewness. Teachers’ mastery of dual-creation theory is proportionately weighted at 25.52%, and the fuzzy comprehensive evaluation score is 81.97, which is a good grade. The evaluation index system, combined with the fuzzy comprehensive evaluation model, can help college teachers clarify the problems of dual-creation education, which is conducive to improving their dual-creation teaching ability.