Extended ExpTODIM Framework Based on Improved GRA Approach for Comprehensive Quality Evaluation of Physical Education Institutions Under Hesitant Triangular Fuzzy Sets

Under the new educational philosophy, the comprehensive quality evaluation of students in sports colleges is increasingly receiving attention from educators and society. Because comprehensive quality not only covers professional knowledge and skills, but also includes moral qualities, innovative spirit, teamwork ability, etc., which are all urgent needs for talents in sports colleges and universities in society. However, the comprehensive quality evaluation system for students in sports colleges and universities seems to be unable to fully meet this demand, and there are some problems that cannot be ignored, such as excessive emphasis on grades, fixed evaluation systems, lack of student participation in the evaluation process, and fuzzy evaluation standards. The existence of these problems not only affects the fairness and effectiveness of evaluation, but also hinders the comprehensive development of students and the process of educational reform. Therefore, how to optimize the comprehensive quality evaluation system of students in sports colleges and universities to better adapt to the needs of social development has become an important topic in current sports education research. The comprehensive quality evaluation of physical education institutions is multi-attribute decision-making (MADM). Exponential TODIM (ExpTODIM) and improved grey relational analysis (IGRA) approaches were used to address MADM issues in this context. Hesitant Triangular Fuzzy Sets (HTFSs) have been employed as a tool for characterizing the uncertain information inherent in the comprehensive quality evaluation of physical education institutions. In this paper, we develop a Hesitant Triangular Fuzzy Number Exponential TODIM-IGRA (HTFN-ExpTODIM-IGRA) approach to illustrate the MADM problem under the framework of HTFSs. Finally, numerical study for the comprehensive quality evaluation of physical education institutions, along with comparative analysis, is provided to validate the HTFN-ExpTODIM-IGRA approach.