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Robust Fuzzy Clustering Using Adaptive Fuzzy Meridians

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Intelligent Information and Database Systems (ACIIDS 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5990))

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Abstract

The fuzzy clustering methods are useful in the data mining applications. This paper describes a new fuzzy clustering method in which each cluster prototype is calculated as a fuzzy meridian. The meridian is the maximum likelihood estimator of the location for the meridian distribution. The value of the meridian depends on the data samples and also depends on the medianity parameter. The sample meridian is extended to fuzzy sets to define a fuzzy meridian. For the estimation of medianity parameter value, the classical Parzen window method by real non–negative weights has been generalized. An example illustrating the robustness of the proposed method was given.

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Author information

Authors and Affiliations

  1. Institute of Electronics, Silesian University of Technology, Akademicka 16, 44-101, Gliwice, Poland

    Tomasz Przybyła

  2. Departament of Biomedical Informatics, Institute of Medical Technology and Equipment, Roosvelta 118, 41-800, Zabrze, Poland

    Janusz Jeżewski, Janusz Wróbel & Krzysztof Horoba

Authors
  1. Tomasz Przybyła
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  2. Janusz Jeżewski
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  3. Janusz Wróbel
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  4. Krzysztof Horoba
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Editor information

Editors and Affiliations

  1. Institute of Informatics, Wroclaw University of Technology, Str. Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland

    Ngoc Thanh Nguyen

  2. Hue University, Str. Le Loi 3, Hue City, Vietnam

    Manh Thanh Le

  3. Faculty of Computer Science and Management, Wroclaw University of Technology, Str. Lukasiewicza 5, 50-370, Wroclaw, Poland

    Jerzy Świątek

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© 2010 Springer-Verlag Berlin Heidelberg

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Przybyła, T., Jeżewski, J., Wróbel, J., Horoba, K. (2010). Robust Fuzzy Clustering Using Adaptive Fuzzy Meridians. In: Nguyen, N.T., Le, M.T., Świątek, J. (eds) Intelligent Information and Database Systems. ACIIDS 2010. Lecture Notes in Computer Science(), vol 5990. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12145-6_21

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  • DOI: https://doi.org/10.1007/978-3-642-12145-6_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12144-9

  • Online ISBN: 978-3-642-12145-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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