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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 342))

Abstract

In this paper, we present the extension of the fuzzy possibilistic C-means (FPCM) algorithm using type-2 fuzzy logic techniques, with the goal of improving the performance of this algorithm. We also performed the comparison of this proposed algorithm against the interval type-2 fuzzy C-means (IT2FCM) algorithm to observe whether the proposed approach performs better than this algorithm. The proposed extension was realized considering both of the weight exponents (fuzzy and possibilistic), m and η, as interval fuzzy sets.

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References

  1. Bezdek, J.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum, Berlin (1981)

    Google Scholar 

  2. Hirota, K., Pedrycz, W.: Fuzzy computing for data mining. Proc. IEEE 87(9), 1575–1600 (1999)

    Article  Google Scholar 

  3. Iyer, N.S., Kendel, A., Schneider, M.: Feature-based fuzzy classification for interpretation of mammograms. Fuzzy Sets Syst. 114, 271–280 (2000)

    Article  MATH  Google Scholar 

  4. Philips, W.E., Velthuinzen, R.P., Phuphanich, S., Hall, L.O., Clark, L.P., Sibiger, M.L.: Aplication of fuzzy C-means segmentation technique for tissue differentiation in MR images of hemorrhagic glioblastoma multiforme. Magn. Reson. Imaging 13(2), 277–290 (1995)

    Article  Google Scholar 

  5. Yang, M.-S., Hu, Y.-J., Lin, K.C.-R., Lin, C.C.-L.: Segmentation techniques for tissue differentiation in MRI of ophthalmology using fuzzy clustering algorithms. Magn. Reson. Imaging 20, 173–179 (2002)

    Google Scholar 

  6. Chang, X., Li, W., Farrell, J.: A C-means clustering based fuzzy modeling method. In: Fuzzy Systems, 2000. The Ninth IEEE International Conference on FUZZ IEEE 2000, vol. 2, pp. 937–940 (2000)

    Google Scholar 

  7. Krishnapuram, R., Keller, J.M.: A possibilistic approach to clustering. IEEE Trans. Fuzzy Syst. 1(2), 98, 110 (1993)

    Google Scholar 

  8. Pal, N.R., Pal, K., Bezdek, J.C.: A mixed C-means clustering model. In: Proceedings of the Sixth IEEE International Conference on Fuzzy Systems, 1997, vol. 1, pp. 11, 21, 1–5 Jul 1997

    Google Scholar 

  9. Pal, N.R., Pal, K., Keller, J.M., Bezdek, J.C.: A possibilistic fuzzy C-means clustering algorithm. IEEE Trans. Fuzzy Syst. 13(4), 517–530 (2005)

    Article  MathSciNet  Google Scholar 

  10. Karnik, N., Mendel, M.: Operations on type-2 set. Fuzzy Set Syst. 122, 327–348 (2001)

    Google Scholar 

  11. Mendel, J.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and new directions. Prentice-Hall Inc., Upper Saddle River (2001)

    Google Scholar 

  12. Rhee, F.C., Hwang, C.: A type-2 fuzzy C-means clustering algorithm. In: Annual Conference of the North American Fuzzy Information Processing Society, vol. 4, pp. 1926–1929 (2001)

    Google Scholar 

  13. Hwang, C., Rhee, F.C.-H.: Uncertain fuzzy clustering: interval type-2 fuzzy approach to C-means. IEEE Trans. Fuzzy Syst. 15(1), 107, 120 (2007)

    Google Scholar 

  14. Zarandi, M.H.F., Zarinbal, M., Türksen, I.B.: Type-II fuzzy possibilistic C-mean clustering. In: IFSA/EUSFLAT Conference, pp. 30–35 (2009)

    Google Scholar 

  15. Choi, B., Rhee, F.: Interval type-2 fuzzy membership function generation methods for pattern recognition. Inf. Sci. 179(13), 2102–2122 (2009)

    Article  MATH  Google Scholar 

  16. Rubio, E., Castillo, O.: Interval type-2 fuzzy clustering for membership function generation. In: 2013 IEEE Workshop on Hybrid Intelligent Models and Applications (HIMA), pp. 13, 18, 16–19 Apr 2013

    Google Scholar 

  17. Ceylan, R., Özbay, Y., Karlik, B.: A novel approach for classification of ECG arrhythmias: type-2 fuzzy clustering neural network. Expert Syst. Appl. 36(3), 6721–6726 (2009) (Part 2)

    Google Scholar 

  18. Tlig, L., Sayadi, M., Fnaeich, F.: A new descriptor for textured image segmentation based on fuzzy type-2 clustering approach. In: 2010 2nd International Conference on Image Processing Theory Tools and Applications (IPTA), pp. 258–263, 7–10 July 2010

    Google Scholar 

  19. Zarandi, M.H.F., Zarinbal, M.: A new image enhancement method type-2 possibilistic c-mean approach. In: IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint, pp. 1131, 1135, 24–28 June 2013

    Google Scholar 

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Rubio, E., Castillo, O., Melin, P. (2016). Interval Type-2 Fuzzy Possibilistic C-Means Clustering Algorithm. In: Zadeh, L., Abbasov, A., Yager, R., Shahbazova, S., Reformat, M. (eds) Recent Developments and New Direction in Soft-Computing Foundations and Applications. Studies in Fuzziness and Soft Computing, vol 342. Springer, Cham. https://doi.org/10.1007/978-3-319-32229-2_14

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  • DOI: https://doi.org/10.1007/978-3-319-32229-2_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32227-8

  • Online ISBN: 978-3-319-32229-2

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