journal6 ›› 2003, Vol. 24 ›› Issue (3): 37-41.

• 博士论坛 • 上一篇    下一篇

模糊相似矩阵的构造

  

  1. (武汉大学测绘学院,湖北 武汉 430079)
  • 出版日期:2003-09-15 发布日期:2012-11-07
  • 作者简介:王新洲(1954-),男,湖北省黄陂人,博士,武汉大学测绘学院教授,博士生导师,主要从事测量数据处理理论与应用研究.

Construction of Fuzzy Similar Matrix

  1. (College of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China)
  • Online:2003-09-15 Published:2012-11-07

摘要:对现有的13种模糊相似矩阵构造方法进行全面比较,提出了3条选择模糊相似矩阵构造方法的原则,即正确性原则、不变性原则和可区分性原则.结果显示,只有绝对值倒数法完全满足这3条原则,最宜用来构造模糊相似矩阵,而最大最小法和算术平均最小法可作为检验方法.

关键词: 模糊聚类分析, 模糊相似矩阵, 整体分辨率, 类间分辨率

Abstract: The construction of fuzzy similar matrix is not only the fundamental but also the most important work in fuzzy cluster's analysis.There are thirteen kinds of methods in the construction of the fuzzy similar matrix,which were put forward by many scholars for a long time.Without any standard for method choosing,people always choose their favorite methods,so there is some problems,such as whether those methods have the same cluster’s result,which method is the best if the results are different.In order to answer those questions,three principles about  how to choose the method of the construction of the fuzzy similar matrix are put forward in this paper,and then a complete comparison among all the construction methods is made,at last the best method used in the construction of the fuzzy similar matrix meeting the three principles is recommended.

Key words: fuzzy cluster's analysis;fuzzy similar matrix, whole resolution, cluster resolution

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