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A Simulation Study on The Behavior Analysis of The Degree of Membership in Fuzzy c-means Method

  • Okazaki, Takeo (Department of Information Engineering, University of the Ryukyus) ;
  • Aibara, Ukyo (Department of Information Engineering, University of the Ryukyus) ;
  • Setiyani, Lina (Department of Information Engineering, Graduate school of Engineering and Science, University of the Ryukyus)
  • Received : 2015.07.15
  • Accepted : 2015.08.24
  • Published : 2015.08.31

Abstract

Fuzzy c-means method is typical soft clustering, and requires a degree of membership that indicates the degree of belonging to each cluster at the time of clustering. Parameter values greater than 1 and less than 2 have been used by convention. According to the proposed data-generation scheme and the simulation results, some behaviors in the degree of "fuzziness" was derived.

Keywords

References

  1. J. C. Dunn, "A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well- Separated Clusters", Journal. of Cybernetics, Vol.3, pp.32-57, 1974.
  2. J. C. Bezdek, "Pattern Recognition with Fuzzy Objective Function Algorithms", Plenum Press, New York, 1981.
  3. S. Miyamoto, K. Umayahara and M. Mukaidono, "Fuzzy Classification Functions in the Methods of Fuzzy c-Means and Regularization by Entropy", Journal. of Japan Society for Fuzzy Theory and Intelligent Informatics, Vol.10, No.3, pp.548-557, 1998.
  4. H. Henderson and P. Velleman, "Building multiple regression models interactively". Biometrics, vol.37, pp.391-411, 1981. https://doi.org/10.2307/2530428
  5. S. Hotta and K. Urahama, "Retrieval of Videos by Fuzzy Clustering", Image Information and Television Engineers Journals, Vol.53, No.12, pp.1750-1755, 1999. https://doi.org/10.3169/itej.53.1750
  6. L. Bobrowski and J. C. Bezdek, "c-means clustering with the $L_1$ and $L{\infty}$ norms", IEEE Transactions on Systems Man and Cybernetics, Vol.21, No.3, pp.545-554, 1991. https://doi.org/10.1109/21.97475
  7. R. J. Hathaway, J. C. Bezdek and W. Pedrycz, "A parametric model for fusing heterogeneous fuzzy data", IEEE Transactions on Fuzzy Systems, Vol.4, No.3, pp.270-281, 1996. https://doi.org/10.1109/91.531770