2012年欧洲杯足球赛各球队攻守能力的聚类分析

Cluster Analysis on the Football Teams’ Attack and Defense Abilities in the 2012 European Football Championship

通过查阅文献和专家问卷调查,选取反映球队攻守能力的9项主要指标,对2012年欧洲杯足球赛决赛阶段的十六强31场比赛进行统计,并运用粗糙集优势关系、Matlab聚类、等级相关分析等方法对所得数据进行处理和分析。结果表明:运用粗糙集优势关系法和Matlab聚类法对球队的攻守指标进行综合评价具有较高的可靠性,粗糙集优势关系法能够客观反映各队攻守能力,进行球队排序,Matlab聚类法能较合理有效地阐释欧洲足坛实力格局。

Using the methods of literature and experts questionnaire survey, the author sets up 9 indexes of reflecting attack and defense abilities of football teams, collecting these indexes quantitative datas from 16 teams, 31 matches in the 2012 European football championship. Using the theory of dominance relation total order reduction method, clus- ter analysis of Matlab, grade correlation analysis etc to study. The conclusion shows： it is more reliable to make quantitative evaluation of the indexes by adopting the theory of dominance relation total order reduction method, which reflects objective attack and defense abilities of the football teams. The method of cluster analysis is effective and rea- sonable interpretation of European football strength situation. Revealing the tendency of football＇ s development, while exploring a kind of suitable and available methods for the ability of football teams.