| 基于模糊关系传递闭包的聚类方法 |
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| 引用本文： | 刘宏兵,周文勇,郭振.基于模糊关系传递闭包的聚类方法[J].信阳师范学院学报(自然科学版),2008,21(1):144-146. |
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| 作者姓名： | 刘宏兵 周文勇 郭振 |
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| 作者单位： | 信阳师范学院,计算机科学系,河南,信阳,464000 |
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| 基金项目： | 河南省教育厅自然科学基金
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信阳师范学院青年骨干教师资助计划项目 |
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| 摘 要： | 根据数据之间的相似关系,构造了基于模糊相似关系传递闭包的聚类方法.该方法用数据之间的距离定义模糊相似关系,利用模糊关系的合成算子,构造该关系的传递闭包,该传递闭包是等价关系.以等价类为聚类.实验结果表明该聚类方法可得到与传统K-均值方法相同的聚类结果.
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| 关 键 词： | 相似关系 模糊等价关系 传递闭包 等价类 聚类 模糊关系 关系的传递闭包 聚类方法 Fuzzy Relation Transitive Closure Based Method 均值 结果 实验 等价类 等价关系 合成算子 利用 距离定义 基于模糊 构造 相似关系 数据 |
| 文章编号： | 1003-0972（2008）01-0144-03 |
| 收稿时间： | 2006-12-29 |
| 修稿时间： | 2007-07-31 |
Clustering Method Based on Transitive Closure of Fuzzy Relation |
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| LIU Hong-bing,ZHOU Wen-yong,GUO Zhen.Clustering Method Based on Transitive Closure of Fuzzy Relation[J].Journal of Xinyang Teachers College(Natural Science Edition),2008,21(1):144-146. |
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| Authors: | LIU Hong-bing ZHOU Wen-yong GUO Zhen |
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| Abstract: | Clustering method based on transitive closure of fuzzy relation is formed according to the similarity between data. The proposed method defined the fuzzy similarity by using the distance between data. The transitive closure, which is equivalence relation, is formed by using relation compound operator. The clusters are equivalent classes. The experiments show that the proposed method can achieve the same results as the conventional K-means clustering method. |
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| Keywords: | similar relation fuzzy equivalence relation transitive closure equivalence class clustering |
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