Abstract
Fuzzy c-means (FCM) clustering is based on minimizing the fuzzy within cluster scatter matrix trace but FCM neglects the between cluster scatter matrix trace that controls the distances between the class centroids. Based on the principle of cluster centers separation, fuzzy cluster centers separation (FCCS) clustering is an extended fuzzy c-means (FCM) clustering algorithm. FCCS attaches importance to both the fuzzy within cluster scatter matrix trace and the between cluster scatter matrix trace. However, FCCS has the same probabilistic constraints as FCM, and FCCS is sensitive to noises. To solve this problem, possibilistic cluster centers separation (PCCS) clustering is proposed based on possibilistic c-means (PCM) clustering and FCCS.Experimental results show that PCCS deals with noisy data better than FCCS and has better clustering accuracy than FCM and FCCS.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981)
Bezdek, J.C., et al.: Fuzzy Models and Algorithms for Pattern Recognition and Image Processing. Kluwer Academic, Dordrecht (1999)
Fukuyama, Y., Sugeno, M.: A New Method of Choosing the Number of Clusters for Fuzzy C-Means Method. In: Proceedings of the 5th Fuzzy System Symposium, pp. 247–250 (1989)
Wu, K.L., Yu, J., Yang, M.S.: A Novel Fuzzy Clustering Algorithm Based on a Fuzzy Scatter Matrix with Optimality Tests. Pattern Recognition Letters 26, 639–652 (2005)
Wu, X.H., Zhou, J.J.: Fuzzy Clustering Models Based on Cluster Centers Separation. Journal of South China University of Technology (Natural Science Edition) 36(4), 110–114 (2008)
Krishnapuram, R., Keller, J.: The Possibilistic C-Means Algorithm: Insights and Recommendations. IEEE Trans. Fuzzy Systems 4(3), 385–393 (1996)
Yang, M.S., Wu, K.L.: Unsupervised Possibilistic Clustering. Pattern Recognition 39(1), 5–21 (2006)
Pal, N.R., Pal, K., Bezdek, J.C.: A Possibilistic Fuzzy C-Means Clustering Algorithm. IEEE Trans. Fuzzy Systems 13(4), 517–530 (2005)
Bezdek, J.C., Keller, J.M., Krishnapuram, R., et al.: Will the Real Iris Data Stand up? IEEE Trans. Fuzzy System 7(3), 368–369 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wu, X., Wu, B., Sun, J., Fu, H., Zhao, J. (2010). Fuzzy Cluster Centers Separation Clustering Using Possibilistic Approach. In: Tan, Y., Shi, Y., Tan, K.C. (eds) Advances in Swarm Intelligence. ICSI 2010. Lecture Notes in Computer Science, vol 6146. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13498-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-13498-2_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13497-5
Online ISBN: 978-3-642-13498-2
eBook Packages: Computer ScienceComputer Science (R0)