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加权绝对值距离及其应用
引用本文:魏敏兰,刘瑞元.加权绝对值距离及其应用[J].宝鸡文理学院学报(自然科学版),2007,27(2):122-124.
作者姓名:魏敏兰  刘瑞元
作者单位:青海师范大学,数学系,青海,西宁,810008;青海师范大学,数学系,青海,西宁,810008
摘    要:目的研究加权绝对值距离。方法采用聚类分析法。结果定义了加权绝对值距离并讨论了它的性质,然后应用加权绝对值距离对2004年奥运会金牌榜国家前10名进行了聚类分析和实力排序即1)美国、2)俄罗斯、3)中国、4)澳大利亚、5)德国、6)日本、7)法国、8)意大利、9)英国、10)乌克兰。结论应用加权绝对值距离能够科学合理地进行聚类分析。

关 键 词:加权绝对值距离  聚类分析  实力排序
文章编号:1007-1261(2007)02-0122-03
收稿时间:2006-05-18
修稿时间:2006-05-18

Distance of absolute value with weight and its applications
WEI Min-lan,LIU Rui-yuan.Distance of absolute value with weight and its applications[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2007,27(2):122-124.
Authors:WEI Min-lan  LIU Rui-yuan
Institution:Dept. Math. , Qinghai Normal University, Xining 810008, Qinghai, China
Abstract:Aim To investigate a distance of absolute value with weights.Methods The cluster analysis was used.Results A distance of absolute value with weights was definited, and its properities were discussed. The first ten nations in the list of 2004 Olympic gold medals were analyzed by the distance of absolute value with weights, the result shown 1st is USA, 2nd is Russia, 3rd China, 4th Australia, 5th Germany, 6th Japan, 7th France, 8th Italy, 9th Great Britain, 10th Ukraine.Conclusion The cluster analysis was scientific and rational with the distance of absolute value with weights.
Keywords:distance of absolute value with weights  cluster analysis  sort by strength
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