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What Is Fuzzy about Fuzzy Clustering? Understanding and Improving the Concept of the Fuzzifier

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Advances in Intelligent Data Analysis V (IDA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2810))

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Abstract

The step from the well-known c-means clustering algorithm to the fuzzy c-means algorithm and its vast number of sophisticated extensions and generalisations involves an additional clustering parameter, the so called fuzzifier. This fuzzifier controls how much clusters may overlap. It also has some negative effects causing problems for clusters with varying data density, noisy data and large data sets with a higher number of clusters. In this paper we take a closer look at what the underlying general principle of the fuzzifier is. Based on these investigations, we propose an improved more general framework that avoids the undesired effects of the fuzzifier.

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© 2003 Springer-Verlag Berlin Heidelberg

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Klawonn, F., Höppner, F. (2003). What Is Fuzzy about Fuzzy Clustering? Understanding and Improving the Concept of the Fuzzifier. In: R. Berthold, M., Lenz, HJ., Bradley, E., Kruse, R., Borgelt, C. (eds) Advances in Intelligent Data Analysis V. IDA 2003. Lecture Notes in Computer Science, vol 2810. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45231-7_24

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  • DOI: https://doi.org/10.1007/978-3-540-45231-7_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40813-0

  • Online ISBN: 978-3-540-45231-7

  • eBook Packages: Springer Book Archive

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