Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulation

Abstract Strategic school policy formulation is critical in guaranteeing the balanced growth of education systems that facilitate both academic and extracurricular objectives. Physical education makes a considerable contribution towards this vision through the promotion of lifelong healthy living, p...

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Main Authors: Fei Ren, Chao Ren
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-03363-3
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author Fei Ren
Chao Ren
author_facet Fei Ren
Chao Ren
author_sort Fei Ren
collection DOAJ
description Abstract Strategic school policy formulation is critical in guaranteeing the balanced growth of education systems that facilitate both academic and extracurricular objectives. Physical education makes a considerable contribution towards this vision through the promotion of lifelong healthy living, physical well-being, and general student development. This research proposes a new decision-making model using Circular Intuitionistic Fuzzy Bonferroni Mean (CIFBM) operators, which combine Aczel-Alsina triangular norms and Bonferroni aggregation rules to handle uncertainty in policy assessment. The essential properties of the proposed operators are investigated and proved. A multi-attribute group decision-making (MAGDM) approach is established to evaluate and rank strategic school policies to meet physical education goals. The methodology focuses on the importance of physical activity in promoting student achievement, cooperation, and educational viability. The case study illustrates the real-world application of the model in maximizing resource utilization, reconciling various interests of stakeholders, and enhancing student success. The findings verify the validity of the developed methodology in optimizing decision-making processes in policy development. This publication provides useful information and guidance for policymakers and educators who want to bring strategic planning into harmony with the development of school-based physical education programs. Abbreviations section is for the symbols, parameters, sets, and indices used throughout the paper.
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spelling doaj-art-6ea9b29a1e3d47aa99bee99e7e8ff4a82025-08-20T03:45:32ZengNature PortfolioScientific Reports2045-23222025-07-0115113410.1038/s41598-025-03363-3Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulationFei Ren0Chao Ren1Yong In University General College Graduate SchoolJiao Zuo University Tai Chi Martial Arts CollegeAbstract Strategic school policy formulation is critical in guaranteeing the balanced growth of education systems that facilitate both academic and extracurricular objectives. Physical education makes a considerable contribution towards this vision through the promotion of lifelong healthy living, physical well-being, and general student development. This research proposes a new decision-making model using Circular Intuitionistic Fuzzy Bonferroni Mean (CIFBM) operators, which combine Aczel-Alsina triangular norms and Bonferroni aggregation rules to handle uncertainty in policy assessment. The essential properties of the proposed operators are investigated and proved. A multi-attribute group decision-making (MAGDM) approach is established to evaluate and rank strategic school policies to meet physical education goals. The methodology focuses on the importance of physical activity in promoting student achievement, cooperation, and educational viability. The case study illustrates the real-world application of the model in maximizing resource utilization, reconciling various interests of stakeholders, and enhancing student success. The findings verify the validity of the developed methodology in optimizing decision-making processes in policy development. This publication provides useful information and guidance for policymakers and educators who want to bring strategic planning into harmony with the development of school-based physical education programs. Abbreviations section is for the symbols, parameters, sets, and indices used throughout the paper.https://doi.org/10.1038/s41598-025-03363-3Physical education goalsStakeholder interestsAczel-alsina operationsBonferroni meanCircular intuitionistic fuzzy setsStrategic school policy formulation
spellingShingle Fei Ren
Chao Ren
Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulation
Scientific Reports
Physical education goals
Stakeholder interests
Aczel-alsina operations
Bonferroni mean
Circular intuitionistic fuzzy sets
Strategic school policy formulation
title Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulation
title_full Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulation
title_fullStr Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulation
title_full_unstemmed Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulation
title_short Optimizing physical education strategies through circular intuitionistic Fuzzy Bonferroni based school policy formulation
title_sort optimizing physical education strategies through circular intuitionistic fuzzy bonferroni based school policy formulation
topic Physical education goals
Stakeholder interests
Aczel-alsina operations
Bonferroni mean
Circular intuitionistic fuzzy sets
Strategic school policy formulation
url https://doi.org/10.1038/s41598-025-03363-3
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