| 基于模糊Fisher准则的半模糊聚类算法 |
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| 引用本文： | 曹苏群,王士同,陈晓峰,谢振平,邓赵红.基于模糊Fisher准则的半模糊聚类算法[J].电子与信息学报,2008,30(9):2162-2165. |
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| 作者姓名： | 曹苏群 王士同 陈晓峰 谢振平 邓赵红 |
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| 作者单位： | 1. 江南大学信息学院,无锡,214122;淮阴工学院机械系,淮安 223001
2. 江南大学信息学院,无锡,214122 |
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| 基金项目： | 教育部优秀人才支持计划，国家重点实验室基金，教育部科学技术研究项目，国防应用基础研究基金 |
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| 摘 要： | 该文针对线性可分数据提出一种鲁棒的基于模糊Fisher准则的半模糊聚类算法FFC-SFCA。FFC-SFCA通过模糊化散布矩阵，将模糊理论引入Fisher判别方法，通过对模糊Fisher准则函数迭代优化实现聚类。FFC-SFCA的优势在于具有很好的鲁棒性且可以获得可分性好的聚类结果，同时，可以求得最优鉴别矢量和分类阈值。实验证实了FFC-SFCA的有效性以及对两个常规聚类算法的优越性。
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| 关 键 词： | Fisher准则 半模糊聚类 最优鉴别矢量 |
| 收稿时间： | 2007-2-5 |
| 修稿时间： | 2007-9-28 |
Fuzzy Fisher Criterion Based Semi-Fuzzy Clustering Algorithm |
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| Cao Su-qun,Wang Shi-tong,Chen Xiao-feng,Xie Zhen-ping,Deng Zhao-hong.Fuzzy Fisher Criterion Based Semi-Fuzzy Clustering Algorithm[J].Journal of Electronics & Information Technology,2008,30(9):2162-2165. |
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| Authors: | Cao Su-qun Wang Shi-tong Chen Xiao-feng Xie Zhen-ping Deng Zhao-hong |
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| Institution: | (School of Information, Jiangnan University, Wuxi 214122, China) (Department of Mechanical Engineering, Huaiyin Institute of Technology, Huaian 223001, China) |
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| Abstract: | The robust Fuzzy Fisher Criterion based Semi-Fuzzy Clustering Algorithm (FFC-SFCA) for linearly separable data is presented in this paper. FFC-SFCA incorporates Fisher discrimination method with fuzzy theory using fuzzy scatter matrix. By iteratively optimizing the fuzzy Fisher criterion function, the final clustering results are obtained. FFC-SFCA exhibits its robustness and capability to obtain well separable clustering results. In addition, optimal discriminant vector and threshold of classifier can also be figured out. The experimental results for artificial and real datasets demonstrate its validity and distinctive superiority over the two conventional clustering algorithms. |
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| Keywords: | Fisher criterion Semi-fuzzy clustering Optimal discriminant vector |
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