On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks

Volume: 21 Number: 3 April 1, 2010
TR EN

On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks

Abstract

In this paper, we suggest two fuzzy estimators in nonparametric regression: fuzzy kernel regression (FNPR) estimator and fuzzy radial basis function (FRBF) networks. Both FNPR estimator and FRBF networks are applied to original data taken from an experiment. We obtain MSE values of the FNPR estimator and FRBF networks and then compare them. We show that the FNPR estimator is more efficient than the FRBF networks.

 Key Words: Fuzzy number, Fuzzy kernel regression estimator, Nonparametric regression, Neural networks, Fuzzy radial basis function networks.

 

Keywords

References

  1. Alefeld, G., Mayer, G., “Interval Analysis: Theory and Applications”, Journal of Computational and Applied Mathematics, 121: 421-464 (2000).
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  3. Cheng, C.B., Lee, E.S., “Fuzzy Regression with Radial Basis Function Network”, Fuzzy Sets and Systems, 119: 291-301 (2001).
  4. Choi, S.W., Lee, D., Park, J.H., Lee, I.B., “Nonlinear Regression Using RBFN with Linear Submodels”, Chemometrics and Intelligent Laboratory Systems, 65: 191-208 (2003).
  5. Chu, C.K., Marron, J.S., “Choosing a Kernel Regression Estimator”, Statistical Science, 6(4): 404-436 (1991).
  6. Eubank, R.L., “Spline Smoothing and
  7. Nonparametric Regression”, Marcel Dekker Inc., New York, 1-8 (1988).
  8. Fu, L., “Neural Networks in Computer Intelligence”, McGraw Hill Inc., Singapure, 94-98 (1996).

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

April 1, 2010

Submission Date

April 1, 2010

Acceptance Date

-

Published in Issue

Year 2008 Volume: 21 Number: 3

APA
Yapıcı Pehlivan, N., & Apaydın, A. (2010). On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks. Gazi University Journal of Science, 21(3), 87-95. https://izlik.org/JA59MW72PY
AMA
1.Yapıcı Pehlivan N, Apaydın A. On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks. Gazi University Journal of Science. 2010;21(3):87-95. https://izlik.org/JA59MW72PY
Chicago
Yapıcı Pehlivan, Nimet, and Ayşen Apaydın. 2010. “On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks”. Gazi University Journal of Science 21 (3): 87-95. https://izlik.org/JA59MW72PY.
EndNote
Yapıcı Pehlivan N, Apaydın A (March 1, 2010) On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks. Gazi University Journal of Science 21 3 87–95.
IEEE
[1]N. Yapıcı Pehlivan and A. Apaydın, “On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks”, Gazi University Journal of Science, vol. 21, no. 3, pp. 87–95, Mar. 2010, [Online]. Available: https://izlik.org/JA59MW72PY
ISNAD
Yapıcı Pehlivan, Nimet - Apaydın, Ayşen. “On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks”. Gazi University Journal of Science 21/3 (March 1, 2010): 87-95. https://izlik.org/JA59MW72PY.
JAMA
1.Yapıcı Pehlivan N, Apaydın A. On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks. Gazi University Journal of Science. 2010;21:87–95.
MLA
Yapıcı Pehlivan, Nimet, and Ayşen Apaydın. “On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks”. Gazi University Journal of Science, vol. 21, no. 3, Mar. 2010, pp. 87-95, https://izlik.org/JA59MW72PY.
Vancouver
1.Nimet Yapıcı Pehlivan, Ayşen Apaydın. On the Comparison of Fuzzy Kernel Regression Estimator and Fuzzy Radial Basis Function Networks. Gazi University Journal of Science [Internet]. 2010 Mar. 1;21(3):87-95. Available from: https://izlik.org/JA59MW72PY