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A Smoothing Algorithm with Constant Learning Rate for Training Two Kinds of Fuzzy Neural Networks and Its Convergence

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成果类型:
期刊论文
作者:
Li, Long*;Qiao, Zhijun;Long, Zuqiang
通讯作者:
Li, Long
作者机构:
[Li, Long; Long, Zuqiang] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421008, Hunan, Peoples R China.
[Qiao, Zhijun] Univ Texas Rio Grande Valley, Dept Math, Edinburg, TX 78539 USA.
通讯机构:
[Li, Long] H
Hengyang Normal Univ, Coll Math & Stat, Hengyang 421008, Hunan, Peoples R China.
语种:
英文
关键词:
Smoothing algorithm;max-product fuzzy neural network;max-min fuzzy neural network;Convergence;Constant learning rate
期刊:
Neural Processing Letters
ISSN:
1370-4621
年:
2020
卷:
51
期:
2
页码:
1093-1109
基金类别:
This project is partially supported by the Natural Science Foundation of China (11401185), the Hunan Provincial Natural Science Foundation of China (2017JJ2011, 14JJ6039), the Scientific Research Fund of Hunan Provincial Education Department (17A031, 13B004), the Science and Technology Plan Project of Hunan Province (Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, 2016TP1020) and China Scholarship Council. This project is partially supported by the Natural Science Foundation of China (11401185), the Hunan Provincial Natural Science Foundation of China (2017JJ2011, 14JJ6039), the Scientific Research Fund of Hunan Provincial Education Department (17A031, 13B004), the Science and Technology Plan Project of Hunan Province (Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, 2016TP1020) and China Scholarship Council.
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this paper, a smoothing algorithm with constant learning rate is presented for training two kinds of fuzzy neural networks (FNNs): max-product and max-min FNNs. Some weak and strong convergence results for the algorithm are provided with the error function monotonically decreasing, its gradient going to zero, and weight sequence tending to a fixed value during the iteration. Furthermore, conditions for the constant learning rate are specified to guarantee the convergence. Finally, three numerical examples are given to illustrate the feasibil...

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