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Generalizations of Fuzzy c-Means and Fuzzy Classifiers

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Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9978))

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Abstract

Different methods of generalized fuzzy c-means having cluster size variables and cluster covariance variables are compared, which include Gustafson-Kessel’s method, Ichihashi’s method of KL-information, and Yang’s method of fuzzified maximum likelihood. Theoretical properties using fuzzy classifier functions as well as results of numerical experiments are shown.

Yoshiyuki Komazaki is now with Forcia Inc., Shinjuku, Tokyo, Japan.

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References

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Acknowledgment

The authors deeply appreciate useful comments by reviewers. This study has partly been supported by the Grant-in-Aid for Scientific Research (KAKENHI), JSPS, Japan, No. 26330270.

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Authors and Affiliations

  1. Department of Risk Engineering, University of Tsukuba, Tsukuba, Japan

    Sadaaki Miyamoto, Yoshiyuki Komazaki & Yasunori Endo

Authors
  1. Sadaaki Miyamoto
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  2. Yoshiyuki Komazaki
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  3. Yasunori Endo
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Corresponding author

Correspondence to Sadaaki Miyamoto .

Editor information

Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology, Nomi, Ishikawa, Japan

    Van-Nam Huynh

  2. Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan

    Masahiro Inuiguchi

  3. University of Science, Ho Chi Minh City, Vietnam

    Bac Le

  4. Duy Tan University, Da Nang, Vietnam

    Bao Nguyen Le

  5. Université de Technologie de Compiègne , Compiègne, France

    Thierry Denoeux

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Miyamoto, S., Komazaki, Y., Endo, Y. (2016). Generalizations of Fuzzy c-Means and Fuzzy Classifiers. In: Huynh, VN., Inuiguchi, M., Le, B., Le, B., Denoeux, T. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2016. Lecture Notes in Computer Science(), vol 9978. Springer, Cham. https://doi.org/10.1007/978-3-319-49046-5_13

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  • DOI: https://doi.org/10.1007/978-3-319-49046-5_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49045-8

  • Online ISBN: 978-3-319-49046-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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