Higher Education System Evaluation System Based on Mathematical Modeling

The higher education system plays a vital role in the development of a country. Each country's higher education system has its strengths and weaknesses, and it faces various external risks (such as the global pandemic), so countries need to rethink their higher education systems and make adjustment accordingly. Therefore, it is important to study the health status and sustainability of the national higher education system. We have developed a model for assessing health status in higher education at the national level. We respectively consider the higher education environment, higher education input and higher education output, and then a three-level evaluation system with 16 specific indicators was established. Then, in order to make a comparative analysis, we chose the United States, China and India, which are all representative countries of developed and developing countries. The health status of national higher education system was evaluated by using principal component analysis method and fuzzy comprehensive evaluation method, and the ranking result was the United States> China> India. So we identify India as the country with more room for improvement, and conduct follow-up analysis.