A novel multiple criteria ranking approach for determining the Most Valuable Player (MVP) of a sport season: A numerical study from NBA league

Vildan Özkir, Ali Değirmenci
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Abstract

Team sports have gained a significant place in society, generating debates about team strengths, player merits, and ultimately, determining champions. The National Basketball Association (NBA) offers various individual awards, with the MVP award holding paramount importance. Selecting the MVP necessitates a comprehensive approach considering both statistical performance and team success throughout the season. This study presents a fuzzy decision-making approach to compare the performance of players and identify the MVP of the League. A case study for the 2022-2023 NBA season is presented in this study, wherein 535 players' regular season statistics are analyzed. Correlation analysis is employed to eliminate the criteria which are dependent on each other. Therefore, the number of criteria has been decreased from twenty to seven which are defined as key metrics: (i) matches won, (ii) points scored per game, (iii) shooting percentage, (iv) rebounds per game, (v) assists per game, (vi) steals per game, and (vii) blocks per game. After correlation analysis, Full Consistency Method (FUCOM) is employed to determine the importance weights of the criteria. We have employed a specific normalization procedure and employed information axiomatic design (IAD) to rank players based on their total information contents. The case study proves the feasibility and applicability of the proposed methodology for multiple criteria ranking problem. Future research may focus on position-specific rankings, providing more accurate assessments, and extending analysis to youth leagues for draft day decisions.
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一种新的多标准排名方法来确定一个运动赛季最有价值球员(MVP):一项来自NBA联盟的数值研究
团队运动在社会中占有重要地位,引发了关于团队力量、球员价值以及最终决定冠军的争论。美国国家篮球协会(NBA)提供各种个人奖项,其中最有价值球员奖最为重要。选择MVP需要综合考虑整个赛季的数据表现和球队的成功。本研究提出了一种模糊决策方法来比较球员的表现,并确定联盟的MVP。本研究以2022-2023赛季为例,分析了535名球员的常规赛数据。相关分析用于消除相互依赖的准则。因此,标准的数量已经从20个减少到7个,这些标准被定义为关键指标:(i)赢得的比赛,(ii)场均得分,(iii)命中率,(iv)场均篮板,(v)场均助攻,(vi)场均抢断,(vii)场均盖帽。在进行相关分析后,采用完全一致性法(FUCOM)确定各指标的重要权重。我们采用了一种特定的规范化程序,并采用了信息公理设计(IAD),根据玩家的总信息内容对他们进行排名。实例研究证明了该方法在多准则排序问题中的可行性和适用性。未来的研究可能会集中在特定位置的排名上,提供更准确的评估,并将分析扩展到青年联盟的选秀日决定。
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