基于Fuzzy等价关系的矩形聚类方法  

The Method of Rectangle Clustering under Fuzzy Equivalence Relation

作　　者：叶林[1] 陈东升[2] 

机构地区：[1]青岛理工大学计算机学院,山东青岛266520 [2]郑州轻工业学院信息与计算科学系,河南郑州450002

出　　处：《数学的实践与认识》2007年第9期104-108,共5页Mathematics in Practice and Theory

基　　金：河南省科技厅基金(0413031920);河南省教育厅基金(04922022)

摘　　要：证明了Boole矩阵与模糊矩阵等价的充分必要条件,总结出Fuzzy聚类的矩形方法.针对《中国大学评价》中的6所林业院校,应用矩形方法,直接从模糊关系矩阵逐步降低阈值,得到分类的矩形表.此方法操作简单,形象直观,分类合理.The sufficient and necessary condition of equivalence between Boole matrix and fuzzy matrix is proved. The method of fuzzy clustering is illustrated. In regard to the six colleges of forestry in 《The Evaluation to Colleges in China》, the rectangle clustering is applied, the threshold of fuzzy relation matrix is reduced gradually. At last, the classified rectangle graph is obtained. The operation is simple and visual, the class is reasonable.

关 键 词：模糊关系矩阵 Fuzzy聚类 阔值 截矩阵 

分 类 号：O212.4[理学—概率论与数理统计]