| 基于粗糙模糊集的聚类决策及应用 |
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| 引用本文： | 王艳平,孙静.基于粗糙模糊集的聚类决策及应用[J].数学的实践与认识,2011,41(21). |
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| 作者姓名： | 王艳平 孙静 |
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| 作者单位： | 辽宁工业大学理学院,辽宁锦州,121001 |
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| 基金项目： | 国家自然科学基金(60674056) |
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| 摘 要： | 对基于粗糙模糊集的聚类问题进行了研究.首先,定义了粗糙模糊值与粗糙模糊集的相似度,给出了粗糙模糊集相似度的一般表达式;然后利用该公式构建了模糊相似矩阵,进而给出了粗糙模糊集的一种聚类方法;最后以实际算例说明了这种思想.
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| 关 键 词： | 粗糙模糊集 相似度 模糊相似矩阵 最大树 聚类 |
Clstering Decision Based on Rough Fuzzy Sets and Its Applications |
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| WANG Yan-Ping,SUN Jing.Clstering Decision Based on Rough Fuzzy Sets and Its Applications[J].Mathematics in Practice and Theory,2011,41(21). |
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| Authors: | WANG Yan-Ping SUN Jing |
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| Institution: | WANG Yan-Ping,SUN Jing (School of Science,Liaoning University of Technology,Jinzhou 121001,China) |
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| Abstract: | To investigate the problems of clustering rough fuzzy sets.First,the similarity measures between rough fuzzy sets and between elements is defined,and a general expression of similarity degree on rough fuzzy sets is given;After that,fuzzy similarity matrix is constructed with this formula;Moreover,an approach to clustering rough fuzzy sets is proposed. Finally,an actual numerical example is given to illustrate this idea. |
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| Keywords: | rough fuzzy set similarity degree fuzzy similarity matrix maximal tree clustering |
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