Abstract
It is known that with a proper fuzzy membership function, a fuzzy support vector machine can effectively reduce the effects of outliers when solving the classification problem. In this paper, a new fuzzy membership function is proposed to the nonlinear fuzzy support vector machine. The fuzzy membership is calculated in the feature space and is represented by kernels. This method gives good performance on reducing the effects of outliers and significantly improves the classification accuracy and generalization.
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References
Vapnik VN (1995) The Nature of statistic learning theory. Springer, Berlin Heidelberg New York
Cortes C, Vapnik VN (1995) Support-vector networks. Mach Learn 20:273–297
Mangasarian OL, Musicant DR (1999) Successive overrelaxation for support vector machines. IEEE Trans Neural Netw 10(5):1032–1037
Song Q (2002) Robust support vector machine with bullet hole image classification. IEEE Trans Syst Cybern 32(4):440–448
Lin CF, Wang SD (2002) Fuzzy support vector machines. IEEE Trans Neural Netw 13(2):464–471
Guyon I, Matic N, Vapnik VN (1996) Discovering information patterns and data cleaning. MIT Press, Cambridge, pp 181C203
Zhang XG (1999) Using class-center vectors to build support vector machines. In: IEEE proceedings of the neural networks and signal processing IX, Aug 1999
Herbrich R, Weston J (2001) Adaptive margin support vector machines for classification. In: Proceedings of the 9th ICANN, vol 2, Sept 1999, pp. 880 C 885. 649–668
Scholkopf B (1997) Support vector learning, PhD dissertation, Technische Universitat Berlin, Germany
Burges CJC (1996) Simplified support vector decision rules. In: Saitta L (ed)Proceedings of the 13th international conference on machine learning
Courant R, Hilbert D (1953) Methods of mathematical physics, vol I. Interscience, New York
Graf A, Smola A, Orer SB (2003) Classification in a normalized feature space using support vector machines. IEEE Trans Neural Netw 14(3)
Acknowledgements
This work was supported by National Science Foundation of China under Grant 60471055 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20040614017.
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Jiang, X., Yi, Z. & Lv, J.C. Fuzzy SVM with a new fuzzy membership function. Neural Comput & Applic 15, 268–276 (2006). https://doi.org/10.1007/s00521-006-0028-z
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DOI: https://doi.org/10.1007/s00521-006-0028-z