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A Survey on Kernelized Fuzzy Clustering Tools for Data Processing

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Advances in Computer Science for Engineering and Education IV (ICCSEEA 2021)

Abstract

Although most of the well-known fuzzy clustering algorithms are somewhat sensitive to noise, there are some more profound possibilistic fuzzy clustering techniques based on kernel distance metrics that are not subject to this problem. The paper presents a survey on this type of fuzzy clustering methods. Meanwhile, introducing a particular distance measure based on the Bregman divergence to a fuzzy clustering tool made it possible to improve the algorithm’s performance compared to traditional Euclidean-based analogs. A bunch of experimental evaluation is performed for this set of methods.

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References

  1. Piano, F., et al.: Gene clustering based on RNAi phenotypes of ovary-enriched genes in C. elegans. Current Biol. 12(22), 1959–1964 (2002)

    Google Scholar 

  2. Choy, S.K., et al.: Fuzzy model-based clustering and its application in image segmentation. Pattern Recogn. 68, 141–157 (2017)

    Article  Google Scholar 

  3. Shi, G., et al.: Discovering the trading pattern of financial market participants: comparison of two co-clustering methods. IEEE Access 6, 14431–14438 (2018)

    Article  Google Scholar 

  4. Sheugh, L., Alizadeh, S.H.: A novel 2D-graph clustering method based on trust and similarity measures to enhance accuracy and coverage in recommender systems. Inf. Sci. 432, 210–230 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  5. Zadeh, L.A., et al.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)

    Article  MATH  Google Scholar 

  6. Ruspini, E.H.: A new approach to clustering. Inf. Control 15(1), 22–32 (1969)

    Article  MATH  Google Scholar 

  7. Nayak, J., Naik, B., Behera, H.: Fuzzy C-means (FCM) clustering algorithm: a decade review from 2000 to 2014. Comput. Intell. Data Mining 2, 133–149 (2015)

    Google Scholar 

  8. Hu, Z., et al.: Fuzzy clustering data given in the ordinal scale. Int. J. Intell. Syst. Appl. (IJISA) 9(1), 67–74 (2017)

    Google Scholar 

  9. Hu, Z., et al.: Possibilistic fuzzy clustering for categorical data arrays based on frequency prototypes and dissimilarity measures. Int. J. Intell. Syst. Appl. (IJISA) 9(5), 55–61 (2017)

    Google Scholar 

  10. Hu, Z., et al.: Fuzzy clustering data arrays with omitted observations. Int. J. Intell. Syst. Appl. (IJISA) 9(6), 24–32 (2017)

    Google Scholar 

  11. Dunn, J.C.: A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters. J. Cybern. 3(3), 32–57 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  12. Bezdek, J.C.: Objective function clustering. Pattern recognition with fuzzy objective function algorithms, pp. 43–93 (1981)

    Google Scholar 

  13. Bezdek, J.C., Ehrlich, R., Full, W.: FCM: the fuzzy C -means clustering algorithm. Comput. Geosci. 10(2), 191–203 (1984)

    Article  Google Scholar 

  14. Zhao, F., et al.: Semisupervised approach to surrogate-assisted multiobjective kernel intuitionistic fuzzy clustering algorithm for color image segmentation. IEEE Trans. Fuzzy Syst. 28(6), 1023–1034 (2020)

    Article  Google Scholar 

  15. Gong, M.Y., et al.: Fuzzy C-means clustering with local information and kernel metric for image segmentation. IEEE Trans. Image Process. 22(2), 573–584 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  16. Memon, K.H., et al.: Kernel possibilistic fuzzy C-means clustering with local information for image segmentation. Int. J Fuzzy Syst. 21(1), 321–332 (2019)

    Article  Google Scholar 

  17. Reem, D., Reich, S., Pierro, A.D.: Re-examination of Bregman functions and new properties of their divergences. Math S Classif. 68(1), 279–348 (2019)

    MathSciNet  MATH  Google Scholar 

  18. Hua, X., et al.: Geometric target detection based on total Bregman divergence. Digit. Sig. Process. 75(1), 232–241 (2018)

    Article  MathSciNet  Google Scholar 

  19. Wu, C.M., Zhang, X.: Total Bregman divergence-based fuzzy local information C-means clustering for robust image segmentation. Appl. Soft Comput. 94 (2020)

    Google Scholar 

  20. Yang, X., et al.: A kernel fuzzy c-means clustering-based fuzzy support vector machine algorithm for classification problems with outliers or noises. IEEE Trans. Fuzzy Syst. 19(1), 105–115 (2011)

    Article  Google Scholar 

  21. Yi, D., Fu, X.: Kernel-based fuzzy c-means clustering algorithm based on genetic algorithm. Neurocomputing 188(5), 233–238 (2016)

    Google Scholar 

  22. Izonin, I., et al.: The combined use of the wiener polynomial and SVM for material classification task in medical implants production. Int. J. Intell. Syst. Appl. (IJISA) 10(9), 40–47 (2018)

    Google Scholar 

  23. Pal, N.R., et al.: A possibilistic fuzzy c-means clustering algorithm. IEEE Trans. Fuzzy Syst. 13(4), 517–530 (2005)

    Article  Google Scholar 

  24. Krishnapuram, R., Keller, J.M.: The possibilistic c-means algorithm: insights and recommendations. IEEE Trans. Fuzzy Syst. 4(3), 385–393 (1996)

    Article  Google Scholar 

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Hu, Z., Tyshchenko, O.K. (2021). A Survey on Kernelized Fuzzy Clustering Tools for Data Processing. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education IV. ICCSEEA 2021. Lecture Notes on Data Engineering and Communications Technologies, vol 83. Springer, Cham. https://doi.org/10.1007/978-3-030-80472-5_24

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