Khan Saraj, Asjad Muhammad Imran, Riaz Muhammad Bilal, Wahab Abdul, Ashaq Hira, Muhammad Taseer
Department of Mathematics, University of Management and Technology, Lahore, Pakistan.
IT4Innovations, VSB - Technical University of Ostrava, Ostrava, Czech Republic.
Heliyon. 2024 Sep 2;10(17):e36993. doi: 10.1016/j.heliyon.2024.e36993. eCollection 2024 Sep 15.
This study introduces an advanced approach for ranking international football players, addressing the inherent uncertainties in performance evaluations. By integrating dual possibility theory and Pythagorean fuzzy sets, the model accommodates varying degrees of ambiguity and imprecision in player attributes. Additionally, the use of hypersoft set theory enriches the analysis by capturing the multifaceted nature of player evaluations. The proposed aggregation operators refine the synthesis of diverse information sources, leading to a comprehensive and nuanced assessment. This research significantly enhances player evaluation methodologies, providing a more adaptable framework for a fair assessment of international football talent. A practical example illustrates the application of dual-possibility Pythagorean fuzzy hypersoft sets (DP-PFHSS). A numerical technique is proposed for solving multi-criteria decision-making (MCDM) challenges with known dual possibility information using the proposed aggregation operators. This decision-making algorithm effectively determines a football player's worth, contributing to the overall ranking and evaluation process. The approach aids in scouting and recruitment by facilitating talent identification and informed player signings. Graphical analysis, comparing existing and proposed methods using average and geometric operators, demonstrates the superiority of the proposed approach in the players evaluation, indicating that is in the top ranking.
本研究介绍了一种用于对国际足球运动员进行排名的先进方法，解决了绩效评估中固有的不确定性问题。通过整合对偶可能性理论和毕达哥拉斯模糊集，该模型能够处理球员属性中不同程度的模糊性和不精确性。此外，超软集理论的应用通过捕捉球员评估的多面性丰富了分析。所提出的聚合算子完善了对各种信息源的综合，从而实现全面且细致入微的评估。本研究显著改进了球员评估方法，为公平评估国际足球人才提供了一个更具适应性的框架。一个实际例子说明了对偶可能性毕达哥拉斯模糊超软集（DP - PFHSS）的应用。提出了一种数值技术，用于使用所提出的聚合算子解决具有已知对偶可能性信息的多准则决策（MCDM）挑战。这种决策算法有效地确定了一名足球运动员的价值，有助于整体排名和评估过程。该方法通过促进人才识别和明智的球员签约，有助于球探和招募工作。通过使用均值和几何算子对现有方法和所提出的方法进行图形分析，证明了所提出的方法在球员评估中的优越性，表明其处于顶级排名。
