A Novel Approach to Sports Analytics Using Neutrosophic Fermatean Soft Plithogenic Sets: Application to Football Team Performance Evaluation
DOI:
https://doi.org/10.64229/5dege109Keywords:
Neutrosophic set, Neutrosophic Fermatean set, Soft Set Theory, Neutrosophic Fermatean Soft set, Neutrosophic Fermatean Soft Plithogenic set, Neutrosophic Fermatean Soft Plithogenic matrixAbstract
This work presents and elaborates the new notion of Neutrosophic Fermatean Soft Plithogenic Sets (NFSP-sets), which provides a new sophisticated mathematical framework of managing uncertainty, indeterminacy, and contradiction in decision-making systems. The suggested framework is a systematic study of the fundamental operations, algebraic properties, and laws of interaction of NFSP-sets. In order to illustrate its usefulness in practice, an elaborate application is implemented to assess and rank football teams using actual match statistics. The performance data of several games is combined with the AND-PRODUCT rule based on Neutrosophic Fermatean Soft Plithogenic matrices, which provides an accurate and comprehensive evaluation of the performance of a team in terms of teamwork, defense, and scoring efficiency. Numerical tests also prove that the given approach is more accurate and reliable than the traditional ranking models. Altogether, the results confirm the strength and relevance of NFSP-sets in sports analytics, and they may become a strong decision-support tool of systematic and evidence-based performance analysis.
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