Abstract
We have observed that the support vector clustering method proposed by Asa Ben Hur, David Horn, Hava T. Siegelmann, Vladimir Vapnik, (Journal of Machine Learning Research, (2001), 125–137) can provide cluster boundaries of arbitrary shape based on a Gaussian kernel abstaining from explicit calculations in the high-dimensional feature space. This allows us to apply the method to the training set for building a fuzzy model. In this paper, we suggested a novel method for fuzzy model identification. The premise parameters of rules of the model are identified by the support vector clustering method while the consequent ones are tuned by the least squares method. Our model does not employ any additional method for parameter optimization after the initial model parameters are generated. It gives also promising performances in terms of a large number of rules. We compared the effectiveness and efficiency of our model to the fuzzy neural networks generated by various input space-partition techniques and some other networks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Linkens, D.A., Min-You, C.: Input Selection and Partition Validation for Fuzzy Modelling Using Neural Network, Fuzzy Sets and Systems, Vol. 107. (1999) 299–308
Mu-Song, C., Shinn-Wen, W.: Fuzzy Clustering Analysis for Optimizing Fuzzy Membership Functions, Fuzzy Sets and Systems, Vol. 103. (1999) 239–254
Jang, J.S.R., Sun, C.T., Mizutani, E.: Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence, Prentice-Hall 1997
Ben-Hur, A., Hor, D., Siegelmann, H.T., Vapnik, V.: Support Vector Clustering, Journal of Machine Learning Research, Vol. 2. (2001) 125–137
Duda, R.O., Hart, E.P., Stork, D.G.: Pattern Classification, John Wiley, New York 2001
Suykens, J.A.K., Gestel, T.V., Brabanter, J.D., Moor, D.B., Vandewalle J.: Least Squares Support Vector Machine, World Scientific 2002
Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Learning Internal Representations by Error Propagation, Parallel Data Processing, Cambridge, MA: MIT Press, Vol. 1. (1986)
Bors, A.G., Pitas, I.: Median Radial Basis Function Neural Network, IEEE Trans. Neural Networks, Vol. 7. (1996) 1351–1364
Ignacio, R., Hector, P., Julio, O., Alberto, P.: Self-Organized Fuzzy System Generation from Training Examples, IEEE Trans. Fuzzy Systems, Vol. 8. (2000) 23–36
Cristianini, N., Shawe-Taylor, J.: An Introduction to Support Vector Machines, Cambridge University Press 2000
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Uçar, A., Demir, Y., Güzeliş, C. (2003). Fuzzy Model Identification Using Support Vector Clustering Method. In: Kaynak, O., Alpaydin, E., Oja, E., Xu, L. (eds) Artificial Neural Networks and Neural Information Processing — ICANN/ICONIP 2003. ICANN ICONIP 2003 2003. Lecture Notes in Computer Science, vol 2714. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44989-2_28
Download citation
DOI: https://doi.org/10.1007/3-540-44989-2_28
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40408-8
Online ISBN: 978-3-540-44989-8
eBook Packages: Springer Book Archive