1.School of Information Engineering,Jiangnan University,Wuxi 214122 2.School of Computer Science and Technology,Nanjing University of Science and Technology,Nanjing 210094
Abstract Fuzzy clustering with proportional membership (FCPM) algorithm can solve the clustering problem from different viewpoints. With the collaborative relations among different feature subsets, the collaborative fuzzy clustering is combined with other clustering algorithms to make its clustering result better than that of the one with the original algorithm. An improved fuzzy clustering algorithm is proposed based on the combination of FCPM and collaborative fuzzy clustering. The experimental results on the Wine and Iris datasets show the effectiveness of the proposed method.
[1] Setnes M. Supervised Fuzzy Clustering for Rule Extraction. IEEE Trans on Fuzzy Systems, 2000, 8(4): 416-424 [2] Zhang Min, Yu Jian. Fuzzy Partitional Clustering Algorithms. Journal of Software, 2004, 15(6): 858-868 (in Chinese) (张 敏,于 剑.基于划分的模糊聚类算法.软件学报, 2004, 15(6): 858-868) [3] Nascimento S, Mirkin B, Moura-Pires F. Modeling Proportional Membership in Fuzzy Clustering. IEEE Trans on Fuzzy Systems, 2003, 11(2): 173-186 [4] Pedrycz W. Collaborative Fuzzy Clustering. Pattern Recognition Letters, 2002, 23(14): 1675-1686 [5] Gorinevsky D. An Approach to Parametric Nonlinear Least Square Optimization and Application to Task-Level Learning Control. IEEE Trans on Automatic Control, 1997, 42(7): 912-927 [6] Wasito I, Mirkin B. Nearest Neighbours in Least-Squares Data Imputation Algorithms with Different Missing Patterns. Computational Statistics Data Analysis, 2006, 50(4): 926-949 [7] Nascimento S. Fuzzy Clustering via Proportional Membership Model. Amsterdam, Netherlands: IOS Press, 2005 [8] Zhou Yuanjian, Xie Shengli. An Improved Adaptive Filtering Algorithm Based on Projection of Gradient Vectors and Its Application in Multi-Channel Acoustic Echo Cancellation. Journal of Electronics Information Technology, 2004, 26(4): 568-573 (in Chinese) (周元建,谢胜利.基于梯度向量投影的自适应滤波算法的改进及其在多路回波消除中的应用.电子与信息学报, 2004, 26(4): 568-573) [9] Bertsekas D P. Nonlinear Programming. 2nd Edition. Nashua, USA: Athena Scientific, 2000 [10] Polyak B T. Introduction to Optimization. New York, USA: Optimization Software Inc., 1987 [11] Tang Huanwen, Qin Xuezhi. Practical Methods of Optimization. Dalian, China: Dalian University of Technology Press, 2005 (in Chinese) (唐焕文, 秦学志. 实用最优化方法. 第3版. 大连: 大连理工出版社, 2005) [12] Xue Yi. Principle and Method of Optimization. Beijing, China: Beijing Industrial University Press, 2001 (in Chinese) (薛 毅.最优化原理与方法.北京:北京工业大学出版社, 2001) [13] Nascimento S, Mirkin B, Moura-Pires F. A Fuzzy Clustering Model of Data and Fuzzy C-Means // Proc of the 9th IEEE International Conference on Fuzzy Systems. San Antonio, USA, 2000: 302-307 [14] Xing Zongyi, Jia Limin, Zhang Yong, et al. A Case Study of Data-Driven Interpretable Fuzzy Modeling. Acta Automatica Sinica, 2005, 31(6): 815-823 (in Chinese) (邢宗义,贾利民,张 永,等.一类基于数据的解释性模糊建模方法的研究.自动化学报, 2005, 31(6): 815-823) [15] Qin Shuwei. Studies on Classification and Recognition of Leukocyte Microscope-Image. Master Dissertation. Suzhou, China: Soochow University. School of Electronic Information, 2007 (in Chinese) (秦树伟.白细胞显微图像的分类识别研究.硕士论文.苏州:苏州大学.电子信息学院, 2007) [16] Mirkin B. Concept Learning and Feature Selection Based on Square-Error Clustering. Machine Learning, 1999, 35(1): 25-39 [17] Mitra P, Murthy C A, Pal S K. Unsupervised Feature Selection Using Feature Similarity. IEEE Trans on Pattern Analysis and Machine Intelligence, 2002, 24(3): 301-312
2010, Vol. 23 
