Optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy model

Abstract Teaching quality in college physical education (PE) promotes students’ overall physical and mental development. Improving this quality thus entails assessing mainly intrinsically complex variables that tend to include probabilities and subjective factors. This paper develops a new decision-...

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Main Authors: Duo Huang, Yangjun Liu
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-06233-0
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author Duo Huang
Yangjun Liu
author_facet Duo Huang
Yangjun Liu
author_sort Duo Huang
collection DOAJ
description Abstract Teaching quality in college physical education (PE) promotes students’ overall physical and mental development. Improving this quality thus entails assessing mainly intrinsically complex variables that tend to include probabilities and subjective factors. This paper develops a new decision-making framework to enhance the quality of college PE teaching through a Complex Interval-Valued Fermatean Fuzzy Dombi Aggregation (CIVFFDA) Operator. The objective framework incorporates differentiated criteria, such as instructor competence, student activity level, the quality of facilities, and teaching performance during several PE course options. Using complex interval-valued Fermatean fuzzy sets (CIVFFS), this model incorporates the fuzziness and hesitancy inherent in experts’ evaluations of teaching activity quality, providing a more comprehensive representation. The Dombi aggregation operator is applied for the evaluation aggregation, so the relative importance of the criteria is appropriately reflected. This paper’s findings illustrate the effectiveness of employing fuzzy sets (FS) in supporting the decision to select exemplary teaching practices that foster college PE improvement. Therefore, this study benefits the decision-making process for maximizing educational quality and offers suggestions for enhancing PE to administrators and educators.
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institution Kabale University
issn 2045-2322
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spelling doaj-art-ced9c2575a874ac99ab5bf6407fd31cf2025-08-20T04:01:35ZengNature PortfolioScientific Reports2045-23222025-07-0115112610.1038/s41598-025-06233-0Optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy modelDuo Huang0Yangjun Liu1Sports Health and Industrial Development Research Center, School of Physical Education, Shangrao Normal UniversitySchool of Physical Education and Health, Chengdu University of Traditional Chinese MedicineAbstract Teaching quality in college physical education (PE) promotes students’ overall physical and mental development. Improving this quality thus entails assessing mainly intrinsically complex variables that tend to include probabilities and subjective factors. This paper develops a new decision-making framework to enhance the quality of college PE teaching through a Complex Interval-Valued Fermatean Fuzzy Dombi Aggregation (CIVFFDA) Operator. The objective framework incorporates differentiated criteria, such as instructor competence, student activity level, the quality of facilities, and teaching performance during several PE course options. Using complex interval-valued Fermatean fuzzy sets (CIVFFS), this model incorporates the fuzziness and hesitancy inherent in experts’ evaluations of teaching activity quality, providing a more comprehensive representation. The Dombi aggregation operator is applied for the evaluation aggregation, so the relative importance of the criteria is appropriately reflected. This paper’s findings illustrate the effectiveness of employing fuzzy sets (FS) in supporting the decision to select exemplary teaching practices that foster college PE improvement. Therefore, this study benefits the decision-making process for maximizing educational quality and offers suggestions for enhancing PE to administrators and educators.https://doi.org/10.1038/s41598-025-06233-0Complex interval-valued fermatean fuzzy setsDombi aggregation operatorMulti-criteria group decision-makingTeaching quality in college physical education
spellingShingle Duo Huang
Yangjun Liu
Optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy model
Scientific Reports
Complex interval-valued fermatean fuzzy sets
Dombi aggregation operator
Multi-criteria group decision-making
Teaching quality in college physical education
title Optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy model
title_full Optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy model
title_fullStr Optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy model
title_full_unstemmed Optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy model
title_short Optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy model
title_sort optimization of teaching quality of college physical education by using decision making technique under complex interval valued fermatean fuzzy model
topic Complex interval-valued fermatean fuzzy sets
Dombi aggregation operator
Multi-criteria group decision-making
Teaching quality in college physical education
url https://doi.org/10.1038/s41598-025-06233-0
work_keys_str_mv AT duohuang optimizationofteachingqualityofcollegephysicaleducationbyusingdecisionmakingtechniqueundercomplexintervalvaluedfermateanfuzzymodel
AT yangjunliu optimizationofteachingqualityofcollegephysicaleducationbyusingdecisionmakingtechniqueundercomplexintervalvaluedfermateanfuzzymodel