Socio-Economic Planning Sciences, vol.101, 2025 (SCI-Expanded, SSCI, Scopus)
Physical education in higher education plays a significant role in the holistic development of students, including cognitive, physical, emotional, and social aspects. Decision-making models are essential for assessing the effectiveness of physical education programs in higher education. An interval-valued Fermatean fuzzy set is a practical approach used for handling uncertain and vague type information in the decision-analysis process. This article presents some flexible operations of Sugeno-Weber t-norms to fuse much human information under an interval-valued Fermatean fuzzy environment. We derive innovative mathematical terminologies of Sugeno-Weber t-norms, such as interval-valued Fermatean fuzzy Sugeno-Weber weighted average and interval-valued Fermatean fuzzy Sugeno-Weber weighted geometric operators with dominant properties of idempotency, monotonicity, and boundedness. The multi-attribute group decision-making problem is used to investigate complicated real-life application solutions. To prove the validation and compatibility of diagnosed theories, we discussed an application of physical education with the help of numerical examples and pioneered mathematical approaches. Additionally, a comparison technique is established to contrast the results of the proposed approaches with existing methodologies. Finally, the advantages and limitations of future directions are also discussed.