TS-fuzzy system-based support vector regression

  • Authors:
  • Chia-Feng Juang;Cheng-Da Hsieh

  • Affiliations:
  • Department of Electrical Engineering, National Chung Hsing University, Taichung 402, Taiwan, ROC;Department of Electrical Engineering, National Chung Hsing University, Taichung 402, Taiwan, ROC

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2009

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Abstract

This paper proposes a new regression model, the Takagi-Sugeno Fuzzy System-based Support Vector Regression (TSFS-SVR). The TSFS-SVR is motivated by TS-type fuzzy rules and its parameters are learned by a combination of fuzzy clustering and linear SVR. In contrast to a kernel-based SVR, the TSFS-SVR has a smaller number of parameters while retaining the SVR's good generalization ability. In TSFS-SVR, a one-pass clustering algorithm clusters the input training data. A new TS-kernel, which corresponds to a TS-type fuzzy rule, is then constructed by the product of a cluster output and a linear combination of input variables. The TSFS-SVR output is a linear weighted sum of the TS-kernels. To achieve high generalization ability, TSFS-SVR weights are learned through linear SVR. This paper demonstrates the capabilities of TSFS-SVR by conducting simulations in clean and noisy function approximations and signal prediction. This paper also compares simulation results from the TSFS-SVR with Gaussian kernel-based SVR and other learning models.