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基于一阶Takagi-Sugeno系统的Pi-Sigma网络的改进神经-模糊梯度学习算法
引用本文:刘燕,杨洁,杨达坤,吴微.基于一阶Takagi-Sugeno系统的Pi-Sigma网络的改进神经-模糊梯度学习算法[J].数学研究及应用,2014,34(1):114-126.
作者姓名:刘燕  杨洁  杨达坤  吴微
作者单位:大连理工大学数学科学学院, 辽宁 大连 116024; 大连工业大学信息科学与工程学院,辽宁 大连 116034;大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024
基金项目:中央高校基本科研基金, 国家自然科学基金(Grant No.11171367),大连工业大学青年基金(Grant No.QNJJ 201308).
摘    要:This paper presents a Pi-Sigma network to identify first-order Tagaki-Sugeno(T-S) fuzzy inference system and proposes a simplified gradient-based neuro-fuzzy learning algorithm.A comprehensive study on the weak and strong convergence for the learning method is made,which indicates that the sequence of error function goes to a fixed value,and the gradient of the error function goes to zero,respectively.

关 键 词:模糊推理系统  学习算法  神经模糊  梯度  一阶  网络  误差函数  强收敛性
收稿时间:2012/7/19 0:00:00
修稿时间:2012/11/25 0:00:00

A Modified Gradient-Based Neuro-Fuzzy Learning Algorithm for Pi-Sigma Network Based on First-Order Takagi-Sugeno System
Yan LIU,Jie YANG,Dakun YANG and Wei WU.A Modified Gradient-Based Neuro-Fuzzy Learning Algorithm for Pi-Sigma Network Based on First-Order Takagi-Sugeno System[J].Journal of Mathematical Research with Applications,2014,34(1):114-126.
Authors:Yan LIU  Jie YANG  Dakun YANG and Wei WU
Institution:School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China; School of Information Science and Engineering, Dalian Polytechnic University, Liaoning 116034, P. R. China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China
Abstract:This paper presents a Pi-Sigma network to identify first-order Tagaki-Sugeno (T-S) fuzzy inference system and proposes a simplified gradient-based neuro-fuzzy learning algorithm. A comprehensive study on the weak and strong convergence for the learning method is made, which indicates that the sequence of error function goes to a fixed value, and the gradient of the error function goes to zero, respectively.
Keywords:first-order Takagi-Sugeno inference system  Pi-Sigma  network  convergence  
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