An enhanced physical education evaluation algorithm for higher education using interval-valued Fermatean fuzzy information

Abrar Hussain, Kifayat Ullah, Zeeshan Ali, Sarbast Moslem and Tapan Senapati

Socio-Economic Planning Sciences, 2025, vol. 101, issue C

Abstract: 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.

Keywords: Interval-valued fermatean fuzzy information; Sugeno-weber t-norms; Physical education; Multi-attribute group decision-making (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:soceps:v:101:y:2025:i:c:s0038012125001296

DOI: 10.1016/j.seps.2025.102280

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