Higher Education System Evaluation System Based on Mathematical Modeling

Fei Zhou, Renmeng Jin, Jingnan Hu
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Abstract

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.
基于数学建模的高等教育系统评价体系
高等教育系统在一个国家的发展中起着至关重要的作用。每个国家的高等教育体系都有其优势和劣势,并面临各种外部风险(如全球大流行),因此各国需要重新思考其高等教育体系并做出相应的调整。因此,研究国家高等教育体系的健康状况和可持续性具有重要意义。我们制定了一个评估全国高等教育健康状况的模型。分别考虑高等教育环境、高等教育投入和高等教育产出,建立了包含16个具体指标的三级评价体系。然后,为了进行比较分析,我们选择了美国,中国和印度,这三个国家都是发达国家和发展中国家的代表性国家。采用主成分分析法和模糊综合评价法对国家高等教育系统健康状况进行评价,排名结果为美国>中国>印度。因此,我们认为印度是有更多改进空间的国家,并进行后续分析。
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