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三参数直觉模糊集上的距离测度
  • ISSN号：1672-1454
  • 期刊名称：《大学数学》
  • 时间：0
  • 分类：G843[文化科学—体育训练;文化科学—体育学]
  • 作者机构：[1]漳州师范学院,福建漳州363000
  • 相关基金：国家自然基金项目（10971186;11061004;71140004）;福建省资助省属高校科研专项（JK2011031）
作者： 王银军[1], 李克典[1]
关键词： 欧洲杯, 进攻能力, 防守能力, 优势关系法, 聚类分析, European football championships, attack and defense abilities, dominance relation, cluster analysis
中文摘要：

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。

英文摘要：

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.

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期刊信息
  • 《大学数学》
  • 主管单位:国家教育部
  • 主办单位:教育部数学与统计学教学指导委员会 高等教育出版社 合肥工业大学
  • 主编：徐宗本
  • 地址：合肥市屯溪路193号合肥工业大学屯溪校区320信箱
  • 邮编：230009
  • 邮箱：hfdxsx@163.com
  • 电话：0551-62901476
  • 国际标准刊号：ISSN：1672-1454
  • 国内统一刊号：ISSN：34-1221/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:7540