| The upper bound of the optimal number of clusters in fuzzy clustering |
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| 作者姓名： | 于剑 程乾生 |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China (Grant Nos. 69872003 and 40035010) |
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| 摘 要： | The upper bound of the optimal number of clusters in clustering algorithm is studied in this paper. A new method is proposed to solve this issue. This method shows that the rule cmax≤n~(1/n), which is popular in current papers, is reasonable in some sense. The above conclusion is tested and analyzed by some typical examples in the literature, which demonstrates the validity of the new method.
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| 收稿时间： | 8 August 2000 |
The upper bound of the optimal number of clusters in fuzzy clustering |
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| YU Jian,CHENG Qiansheng.The upper bound of the optimal number of clusters in fuzzy clustering[J].Science in China(Information Sciences),2001,44(2):119-125. |
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| Authors: | YU Jian CHENG Qiansheng |
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| Affiliation: | Department of Computer Science and Technology, North Jiaotang University, |
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| Abstract: | The upper bound of the optimal number of clusters in clustering algorithm is studied in this paper. A new method is proposed
to solve this issue. This method shows that the rulec
max ≤ √n, which is popular in current papers, is reasonable in some sense. The above conclusion is tested and analyzed by some typical
examples in the literature, which demonstrates the validity of the new method. |
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| Keywords: | clustering algorithm cluster validity the optimal number of clusters uncertainty fuzzy clustering |
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