AHP结合K-Means算法在三分球评价体系中的应用

Application of AHP Combined With K-Means Algorithm in Three-point Ball Evaluation System

随着小球时代的到来,三分球施加于比赛的影响不断加深,不仅NBA联盟对于三分球出手后的保护愈发完善,NBA各大豪强对三分球射手的各项指标也越来越重视。因此,对三分球的研究受到广泛关注。文中选取了7项对三分球能力有显著影响的数据,包括三分球命中率(X1)、三分命中数(X2)、场均得分(X3)、三分球出手速度(X4)、出场次数(X5)、分均命中数(X6)、关键时刻命中率(X7)。针对以上数据,文中首先对其进行了预处理,使用min-max数据标准化方法,建立新的指标体系,在处理后指标数据的基础上,使用层次分析法计算出各指标的权重,进而计算出各球员的三分球能力值,并根据计算结果来对球员进行能力等级划分。由于层次分析法的主观性较强,因此文中又引入了K-Means算法,并结合R来弥补层次分析法的不足,对其进行修正和检验。

With the advent of the small ball era,the influence of the three point shot on the game is deepening.Not only is the protection of the NBA league for the three point shot more and more perfect,but also the major players in the NBA pay more and more attention to the indicators of the three point shooter.Therefore,the research on the three-point shot has received extensive attention This paper selects seven items of data that have a significant impact on the ability of three point shots,including:three point ball hit rate(X_(1)),three point hit number(X_(2)),average field score(X_(3)),three point ball release speed(X_(4)),number of appearances(X_(5)),average point hit number(X_(6)),critical moment hit rate(X_(7)).For the above data,we first preprocess them,use data standardization methods,establish a new indicator system,and on the basis of the processed indicator data,Use the ana-lytic hierarchy process to calculate the weight of each index,and then calculate the three point ability value of each player,and according to the calculation results,divide the players’ability level.Due to the strong subjectivity of the analytic hierarchy process,this paper introduces a combination of algorithms to make up for the shortcomings of the analytic hierarchy process,re-vises and testes it,and combines the two methods to divide the ability of NBA shooters.