Abstract
In the presented paper, new clustering method based on minimization of a criterion function is proposed. Its goal is to find prototypes placed near the classes boundary. The proposed method may be useful in applications to classification algorithms. The clustering performance was examined using the Ripley dataset, and the results seem to be encouraging.
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
Bezdek, J.C.: Pattern recognition with fuzzy objective function algorithms. Plenum Press, New York (1982)
Burges, C.J.C.: A tutorial on suport vector machines for pattern recognition. Data Mining and Knowledge Discovery 2, 121–167 (1998)
Duda, R.O., Hart, P.E.: Pattern classification and scene analysis. Wiley, New York (1973)
Duda, R.O., Hart, P.E., Stork, D.G.: Pattern classification. Wiley Interscience, New York (2000)
Leski, J.: Ho-Kashyap classifier with generalization control. Pattern Recognition Letters 24, 2281–2290 (2003)
Mangasarian, O.L., Musicant, D.R.: Lagrangian support vector machines. Journal of Machine Learning Research 1, 161–177 (2001)
Pedrycz, W., Waletzky, J.: Fuzzy clustering with partial supervision. IEEE Trans. Systems, Man and Cybernetics - Part B: Cybernetics 27, 787–795 (1997)
Ripley, B.D.: Pattern recognition and neural networks. Cambridge Univ. Press, Cambridge (1996)
Tou, J.T., Gonzalez, R.C.: Pattern recognition principles. Addison-Wesley, London (1974)
Vapnik, V.: Statistical learning theory. Wiley, New York (1998)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Jezewski, M., Leski, J. (2011). Fuzzy Clustering Finding Prototypes on Classes Boundary. In: Burduk, R., Kurzyński, M., Woźniak, M., Żołnierek, A. (eds) Computer Recognition Systems 4. Advances in Intelligent and Soft Computing, vol 95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20320-6_19
Download citation
DOI: https://doi.org/10.1007/978-3-642-20320-6_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-20319-0
Online ISBN: 978-3-642-20320-6
eBook Packages: EngineeringEngineering (R0)