Enhanced Technique for Managing the University Physical Education Teaching Quality Based on Interval-Valued Intuitionistic Fuzzy Sets

With the continuous emergence of new teaching philosophies and models in higher education, the original evaluation system has become insufficient to meet the current demands of university physical education (PE) instruction. This limitation has weakened the system's ability to accurately assess and guide teaching practices, resulting in a situation in which PE teaching quality evaluation lags behind pedagogical development and remains reactive rather than proactive. University PE teaching quality evaluation is regarded as a multi-attribute decision-making issue. This paper aims to develop a multi-attribute decision-making approach based on an interval-valued intuitionistic fuzzy combined compromise solution method combined with a cosine similarity measure under interval-valued intuitionistic fuzzy. Attribute weights are determined using the criteria importance through intercriteria correlation method. Finally, a numerical example of university PE teaching quality evaluation is provided, and comparative analyses are conducted to demonstrate the advantages of the proposed interval-valued intuitionistic fuzzy combined compromise solution method.