Sun Zhan-Li, Au Kin-Fan, Choi Tsan-Ming
Institute of Textiles and Clothing, Hong Kong Polytechnic University, Kowloon, Hong Kong.
IEEE Trans Syst Man Cybern B Cybern. 2007 Oct;37(5):1321-31. doi: 10.1109/tsmcb.2007.901375.
This paper investigates the feasibility of applying a relatively novel neural network technique, i.e., extreme learning machine (ELM), to realize a neuro-fuzzy Takagi-Sugeno-Kang (TSK) fuzzy inference system. The proposed method is an improved version of the regular neuro-fuzzy TSK fuzzy inference system. For the proposed method, first, the data that are processed are grouped by the k-means clustering method. The membership of arbitrary input for each fuzzy rule is then derived through an ELM, followed by a normalization method. At the same time, the consequent part of the fuzzy rules is obtained by multiple ELMs. At last, the approximate prediction value is determined by a weight computation scheme. For the ELM-based TSK fuzzy inference system, two extensions are also proposed to improve its accuracy. The proposed methods can avoid the curse of dimensionality that is encountered in backpropagation and hybrid adaptive neuro-fuzzy inference system (ANFIS) methods. Moreover, the proposed methods have a competitive performance in training time and accuracy compared to three ANFIS methods.
本文研究了应用一种相对新颖的神经网络技术——极限学习机(ELM)来实现神经模糊高木-关野-康(TSK)模糊推理系统的可行性。所提出的方法是常规神经模糊TSK模糊推理系统的改进版本。对于所提出的方法,首先,通过k均值聚类方法对处理的数据进行分组。然后通过极限学习机,随后采用归一化方法,得出每个模糊规则的任意输入的隶属度。同时,通过多个极限学习机获得模糊规则的后件部分。最后,通过权重计算方案确定近似预测值。对于基于极限学习机的TSK模糊推理系统,还提出了两种扩展方法以提高其准确性。所提出的方法可以避免在反向传播和混合自适应神经模糊推理系统(ANFIS)方法中遇到的维数灾难。此外,与三种ANFIS方法相比,所提出的方法在训练时间和准确性方面具有竞争性能。