Araştırma Makalesi

A New Conjugate Gradient Method for Learning Fuzzy Neural Networks

Cilt: 3 Sayı: 2 25 Mart 2021
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A New Conjugate Gradient Method for Learning Fuzzy Neural Networks

Abstract

In this paper, we suggest a conjugate gradient method, which belongs to the op-timization methods for learning a fuzzy neural network model that is based on Takagi Sugeno. Where we developed a new algorithm based on the Polak–Ribière–Polak (PRP) method, The technique developed is converging by assum-ing a certain hypothesis. The numerical results indicate the efficacy of the method developed for classifying data as shown in the table as the new method was supe-rior to the Polak–Ribière–Polak (PRP) and Liu-Storey (LS) methods in average training time, Average training accuracy, Average test accuracy, Average train-ing MSE, and Average test MSE. As for the figures, we showed the superiority of the new algorithm in The average training accuracy and The average training error Compared to Polak–Ribière–Polak (PRP) and Liu-Storey (LS) methods, in 100 No. of training iteration.

Keywords

Kaynakça

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  2. M. Sugeno and G. T. Kang, Structure identification of fuzzy model, Fuzzy Sets Syst., 28 (1), 1988, 15–33.
  3. T. Takagi and M. Sugeno, Fuzzy identification of systems and its applications to modeling and control, IEEE Trans. Syst. Man. Cybern., 1 1985, 116–132.
  4. J. C. Bezdek, J. Keller, R. Krisnapuram, and N. Pal, Fuzzy models and algorithms for pattern recognition and image processing, Springer Science & Business Media, vol. 4. 1999.
  5. J. C. Bezdek, Objective function clustering, in Pattern recognition with fuzzy objective function algorithms, Springer, 1981, 43–93.
  6. X. Gu and S. Wang, Bayesian Takagi–Sugeno–Kang fuzzy model and its joint learning of structure identification and parameter estimation, IEEE Trans. Ind. Informatics, 14(12) 2018, 5327–5337.
  7. R. R. Yager and D. P. Filev, Generation of fuzzy rules by mountain clustering, J. Intell. Fuzzy Syst., 2(3) 1994, 209–219.
  8. R. Krishnapuram and J. M. Keller, A possibilistic approach to clustering, IEEE Trans. fuzzy Syst., 1(2) 1993, 98–110.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

25 Mart 2021

Gönderilme Tarihi

2 Ocak 2021

Kabul Tarihi

20 Ocak 2021

Yayımlandığı Sayı

Yıl 1970 Cilt: 3 Sayı: 2

Kaynak Göster

APA
Mohammed, H., & Abbo, K. K. (2021). A New Conjugate Gradient Method for Learning Fuzzy Neural Networks. Journal of Multidisciplinary Modeling and Optimization, 3(2), 57-69. https://izlik.org/JA92FE79MF
AMA
1.Mohammed H, Abbo KK. A New Conjugate Gradient Method for Learning Fuzzy Neural Networks. jmmo. 2021;3(2):57-69. https://izlik.org/JA92FE79MF
Chicago
Mohammed, Hisham, ve Khalil K. Abbo. 2021. “A New Conjugate Gradient Method for Learning Fuzzy Neural Networks”. Journal of Multidisciplinary Modeling and Optimization 3 (2): 57-69. https://izlik.org/JA92FE79MF.
EndNote
Mohammed H, Abbo KK (01 Mart 2021) A New Conjugate Gradient Method for Learning Fuzzy Neural Networks. Journal of Multidisciplinary Modeling and Optimization 3 2 57–69.
IEEE
[1]H. Mohammed ve K. K. Abbo, “A New Conjugate Gradient Method for Learning Fuzzy Neural Networks”, jmmo, c. 3, sy 2, ss. 57–69, Mar. 2021, [çevrimiçi]. Erişim adresi: https://izlik.org/JA92FE79MF
ISNAD
Mohammed, Hisham - Abbo, Khalil K. “A New Conjugate Gradient Method for Learning Fuzzy Neural Networks”. Journal of Multidisciplinary Modeling and Optimization 3/2 (01 Mart 2021): 57-69. https://izlik.org/JA92FE79MF.
JAMA
1.Mohammed H, Abbo KK. A New Conjugate Gradient Method for Learning Fuzzy Neural Networks. jmmo. 2021;3:57–69.
MLA
Mohammed, Hisham, ve Khalil K. Abbo. “A New Conjugate Gradient Method for Learning Fuzzy Neural Networks”. Journal of Multidisciplinary Modeling and Optimization, c. 3, sy 2, Mart 2021, ss. 57-69, https://izlik.org/JA92FE79MF.
Vancouver
1.Hisham Mohammed, Khalil K. Abbo. A New Conjugate Gradient Method for Learning Fuzzy Neural Networks. jmmo [Internet]. 01 Mart 2021;3(2):57-69. Erişim adresi: https://izlik.org/JA92FE79MF