| 基于直觉模糊等价关系的聚类算法 |
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| 引用本文： | 陈东锋,雷英杰,田野.基于直觉模糊等价关系的聚类算法[J].空军工程大学学报,2007,8(1):63-65. |
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| 作者姓名： | 陈东锋 雷英杰 田野 |
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| 作者单位： | 空军工程大学导弹学院 陕西三原713800 |
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| 基金项目： | 陕西省自然科学基金资助项目(2006F18) |
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| 摘 要： | 首先引入直觉模糊集的模运算、直觉模糊集之间的关系及合成运算的定义,然后提出了直觉模糊集的截集定义,揭示了利用直觉模糊等价关系的分类原理,并讨论了基于直觉模糊等价关系的模糊聚类算法,从而使直觉模糊集的基本理论得到进一步扩展。最后给出了该算法的一个数值实例。
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| 关 键 词： | 模糊集合 直觉模糊集 模糊聚类 模糊关系 |
| 文章编号： | 1009-3516（2006）01-0063-03 |
| 收稿时间： | 2006-03-07 |
| 修稿时间： | 2006-03-07 |
Clustering Algorithm Based on Intuitionistic Fuzzy Equivalent Relations |
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| CHEN Dong-feng,LEI Ying-jie,TIAN Ye.Clustering Algorithm Based on Intuitionistic Fuzzy Equivalent Relations[J].Journal of Air Force Engineering University(Natural Science Edition),2007,8(1):63-65. |
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| Authors: | CHEN Dong-feng LEI Ying-jie TIAN Ye |
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| Institution: | The Missile Institute, Air Force Engineering University, Sanyuan 713800, Shaanxi, China |
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| Abstract: | Firstly,the definitions of modular operations,the relationship between intuitionistic fuzzy sets(IFSs) and their composition operations are introduced,then the definition of truncated set for IFSs is presented,and the principle for classification using intuitionistic fuzzy equivalent relations is reveled.The clustering algorithm based on intuitionistic fuzzy equivalent relations is discussed,so the basic theorems of IFSs are further generalized.Finally,a numerical example is given. |
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| Keywords: | fuzzy sets intuitionistic fuzzy sets fuzzy clustering fuzzy relations |
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