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<p>Decision-making is a crucial process that involves selecting a course of action from multiple alternatives. It requires evaluating different options, weighing their potential outcomes, and making a choice based on available information and objectives. In physical education, decision-making plays a vital role in instructing teachers and students to interact with each other, facilitating understanding and retention of previously learned material. In this article discusses decision-making in physical education for teaching and learning, aiming to create engaging and inspiring opportunities for students to learn and improve their thinking skills. To achieve this, we utilize a circular Pythagorean fuzzy set (CPyFS), which captures membership and non-membership grades while exhibiting circular behavior. This approach is particularly useful for handling uncertainty in assessment processes, allowing decision-makers (<InlineEquation ID="IEq485"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_7891_Article_IEq485.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathcal{D}\)</EquationSource> </InlineEquation>) to discuss their opinions within a large domain. The CPyFS technique builds upon fuzzy set (FS) theory, with Pythagorean FS (PyFS) being a special case. Our goal is to define weighted averaging and geometric operators within the CPyFS framework, based on triangular norms. We demonstrate the effectiveness of these aggregation operators (AOs) through examples and establish key mathematical properties, such as idempotency and boundedness. Furthermore, we propose a new model using the weighted aggregated sum product assessment (WASPAS) method, exploring its application in multi-criteria group decision-making (MCGDM). The effectiveness and reliability of this technique are validated through sensitivity analysis and comparative study, showcasing its potential in handling uncertainties in physical education.</p>

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WASPAS-based multi-expert decision algorithm for physical education using circular pythagorean fuzzy aggregation with prioritized weights

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月22日

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  • Dawei Lyu,
  • Xiaoxue Zhang

摘要

Decision-making is a crucial process that involves selecting a course of action from multiple alternatives. It requires evaluating different options, weighing their potential outcomes, and making a choice based on available information and objectives. In physical education, decision-making plays a vital role in instructing teachers and students to interact with each other, facilitating understanding and retention of previously learned material. In this article discusses decision-making in physical education for teaching and learning, aiming to create engaging and inspiring opportunities for students to learn and improve their thinking skills. To achieve this, we utilize a circular Pythagorean fuzzy set (CPyFS), which captures membership and non-membership grades while exhibiting circular behavior. This approach is particularly useful for handling uncertainty in assessment processes, allowing decision-makers ( \(\mathcal{D}\) ) to discuss their opinions within a large domain. The CPyFS technique builds upon fuzzy set (FS) theory, with Pythagorean FS (PyFS) being a special case. Our goal is to define weighted averaging and geometric operators within the CPyFS framework, based on triangular norms. We demonstrate the effectiveness of these aggregation operators (AOs) through examples and establish key mathematical properties, such as idempotency and boundedness. Furthermore, we propose a new model using the weighted aggregated sum product assessment (WASPAS) method, exploring its application in multi-criteria group decision-making (MCGDM). The effectiveness and reliability of this technique are validated through sensitivity analysis and comparative study, showcasing its potential in handling uncertainties in physical education.