Improved Kernel Possibilistic Fuzzy Clustering Algorithm Based on Invasive Weed Optimization

Expand
  • (College of Electrical Engineering and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China)

Online published: 2015-04-02

Abstract

Fuzzy c-means (FCM) clustering algorithm is sensitive to noise points and outlier data, and the possibilistic fuzzy c-means (PFCM) clustering algorithm overcomes the problem well, but PFCM clustering algorithm has some problems: it is still sensitive to initial clustering centers and the clustering results are not good when the tested datasets with noise are very unequal. An improved kernel possibilistic fuzzy c-means algorithm based on invasive weed optimization (IWO-KPFCM) is proposed in this paper. This algorithm first uses invasive weed optimization (IWO) algorithm to seek the optimal solution as the initial clustering centers, and introduces kernel method to make the input data from the sample space map into the high-dimensional feature space. Then, the sample variance is introduced in the objection function to measure the compact degree of data. Finally, the improved algorithm is used to cluster data. The simulation results of the University of California-Irvine (UCI) data sets and artificial data sets show that the proposed algorithm has stronger ability to resist noise, higher cluster accuracy and faster convergence speed than the PFCM algorithm.

Cite this article

ZHAO Xiao-qiang* (赵小强), ZHOU Jin-hu (周金虎) . Improved Kernel Possibilistic Fuzzy Clustering Algorithm Based on Invasive Weed Optimization[J]. Journal of Shanghai Jiaotong University(Science), 2015 , 20(2) : 164 -170 . DOI: 10.1007/s12204-015-1605-z

References

[1] Krishnapuram R, Keller J M. A possibilistic approach to clustering [J]. IEEE Transactions on Fuzzy Systems, 1993, 1(2): 98-110.
[2] Zhang Xiang, Wang Shi-tong. Mahalanobis distancebased possibilistic clustering algorithm and its analysis[J]. Journal of Data Acquisition & Processing, 2011,26(1): 101-105 (in Chinese).
[3] Xie Z P, Wang S T, Chung F L. An enhanced possibilistic c-means clustering algorithm EPCM [J]. Soft Computing, 2008, 12: 593-611.
[4] Pal N R, Pal K, Keller J M, et al. A possibilistic fuzzy c-means clustering algorithm [J]. IEEE Transactions on Fuzzy Systems, 2005, 13(4): 517-530.
[5] Wu Xiao-hong, Zhou Jian-jiang. A novel possibilistic fuzzy c-means clustering [J]. Acta Electronica Sinica,2008, 36(10): 1996-2000 (in Chinese).
[6] Mehrabian A R, Lucas C. A novel Numerical optimization algorithm inspired from weed colonization[J]. Ecological Informatics, 2006, 1(4): 355-366.
[7] Roy S, Islam S M, Das S, et al. Multimodal optimization by artificial weed colonies enhanced with localized group search optimizers [J]. Applied Soft Computing,2012, 13: 27-46.
[8] Han Yi, Cai Jian-hu, Li Yan-lai, et al. Invasive weed optimization and its advances [J]. Computer Science,2011, 38(3): 20-23 (in Chinese).
[9] Chen Huan, Zhou Yong-quan, Zhao Guang-wei.Multi-population invasive weed optimization algorithm based on chaotic sequence [J]. Journal of Computer Applications, 2012, 32(7): 1958-1961 (in Chinese).
[10] Han Xu-dong, Xia Shi-xiong, Liu Bing, et al. Kernelbased fast improved possibilistic c-means clustering algorithm[J]. Computer Engineering and Applications,2011, 47(6): 176-180 (in Chinese).
[11] Yang Miin-Shen, Wu Kuo-Lung. Unsupervised possibilistic clustering [J]. Pattern Recognition, 2006, 39:5-21.
[12] Zhao Xiao-qiang, Zhou Jin-hui, Yang Jia-min. A fuzzy clustering algorithm of data mining based on IWO [C]//Proceedings of the 32nd Chinese Control Conference. Xi’an, China: [s.n.], 2013: 7988-7993 (in Chinese).
Options
Outlines

/