基于改进灰靶决策的女子七项全能排名模型

Women's Heptathlon Ranking Model based on Improved Gray Target Decision

女子七项全能是奥运会、锦标赛等重大赛事的比赛项目,考察运动员的综合实力。其排名方式为:先分别对七个单项成绩采用田径全能评分表进行相应转换,再按照加总分数的高低顺序排名。该排名方式可能使总分高但有短板单项的运动员取得很好甚至最好名次,不完全符合"全能"的含义。为此新建一种"罚劣"算子,结合马氏距离构建了一种基于灰靶决策的新排名模型,更能促进运动员要想获得全能比赛的好成绩就必须力求全面平衡发展。

Women＇s Heptathlon is a competition item of the Olympic Games,championship and other major events,it is used to examine comprehensive ability of athletes. The ranking rule is： the individual results are converted into scores though the track and field all-round score table firstly,and sum the scores secondly,finally sorted by the order of the total scores.It is found that the cumulative ranking method may make athletes who have high total scores with short board item obtain a very good or even the best ranking,and not fully meet the all-around＇ meaning.So,a new punishing the bad＇ operator is built,and a new gray target ranking model which is combined with the Mahalanobis distance is constructed,which encourages those athletes who want to obtain goodresults in all-around gamesto strive for abalanced development.