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WASPAS-based multi-expert decision algorithm for physical education using circular pythagorean fuzzy aggregation with
Dawei Lyu1, Xiaoxue Zhang2,3
1College of Physical Education and Health, East China Jiaotong University, Nan Chang, 330013, Jiangxi, China. lvdawei13330116957@163.com.
Scientific Reports
|July 21, 2025
Summary
This study introduces a novel approach using circular Pythagorean fuzzy sets (CPyFS) to enhance decision-making in physical education. The method effectively manages uncertainty, improving teaching and learning outcomes.
Area of Science:
- Educational Technology
- Fuzzy Set Theory
- Decision Sciences
Background:
- Decision-making is critical in physical education for effective teaching and student learning.
- Current methods struggle to adequately address the inherent uncertainties in educational assessments.
- There is a need for advanced tools to support complex decision-making processes in educational settings.
Purpose of the Study:
- To introduce a novel decision-making framework for physical education using circular Pythagorean fuzzy sets (CPyFS).
- To develop and define weighted averaging and geometric operators within the CPyFS framework.
- To propose and validate a new model for multi-criteria group decision-making (MCGDM) in physical education.
Main Methods:
- Utilization of circular Pythagorean fuzzy sets (CPyFS) to handle membership and non-membership grades with circular behavior.
- Definition of weighted averaging and geometric aggregation operators (AOs) based on triangular norms within the CPyFS.
- Application of the weighted aggregated sum product assessment (WASPAS) method for multi-criteria group decision-making (MCGDM).
Main Results:
- The CPyFS framework effectively captures uncertainty in decision-making processes.
- Defined aggregation operators demonstrate key mathematical properties like idempotency and boundedness.
- The proposed WASPAS model, integrated with CPyFS, shows effectiveness and reliability in handling uncertainties, validated by sensitivity analysis.
Conclusions:
- Circular Pythagorean fuzzy sets offer a robust tool for enhancing decision-making in physical education.
- The developed aggregation operators and WASPAS model provide a reliable method for addressing uncertainty in educational contexts.
- This research contributes to improving teaching and learning through advanced decision-support systems in physical education.
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