Decision Algorithm for Physical Education in Higher Education and Circular Fermatean Fuzzy Framework

This paper seeks to establish the significance of efficient evaluation of physical education programs in colleges and universities in the development of human personality, emotional health and fitness and the sociable demeanor of the learners. Nevertheless, the critical assessment methods present strong problems due to the inherent randomness and individuality. To overcome these complexities, an enhanced method of Circular Interval-Valued Fermatean Fuzzy Dombi Mean (CrIVF-FDM) operators is proposed in this research work. Through the application of Fermatean fuzzy sets, the degrees of importance and interdependence of criteria are considered in the model, together with the aggregation flexibility that the Dombi mean operator provides. Thus, the algorithm contains circular interval values to capture source uncertainty and ambiguity clearly while providing a sound assessment basis. The study also shows the effectiveness of the algorithm using physical education programs of higher learning institutions, and therefore, the Algorithm can provide summarized, accurate, and flexible quality assurance assessment. The findings suggest that it may help decision-makers crack this particular nut in determining the best courses of action toward increasing the quality of physical education, cultivating leadership, and enhancing students’ all-around growth. The decision maker in this work collects human opinion-based data to rank alternatives through CrIVF-FDM operators that employ on defined criteria and find out a best alternative.