Generating ANFISs Through Rule Interpolation: An Initial Investigation

  • Jing Yang
  • Changjing ShangEmail author
  • Ying Li
  • Fangyi Li
  • Qiang Shen
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 840)


The success of ANFIS (Adaptive-Network-based Fuzzy Inference System) mainly owes to the ability of producing nonlinear approximation via extracting effective fuzzy rules from massive training data. In certain practical problems where there is a lack of training data, however, it is difficult or even impossible to train an effective ANFIS model covering the entire problem domain. In this paper, a new ANFIS interpolation technique is proposed in an effort to implement Takagi-Sugeno fuzzy regression under such situations. It works by interpolating a group of fuzzy rules with the assistance of existing ANFISs in the neighbourhood. The proposed approach firstly constructs a rule dictionary by extracting rules from the neighbouring ANFISs, then an intermediate ANFIS is generated by exploiting the local linear embedding algorithm, and finally the resulting intermediate ANFIS is utilised as an initial ANFIS for further fine-tuning. Experimental results on both synthetic and real world data demonstrate the effectiveness of the proposed technique.


ANFIS interpolation Rule dictionary Takagi-Sugeno fuzzy regression Local linear embedding 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Jing Yang
    • 1
    • 2
  • Changjing Shang
    • 2
    Email author
  • Ying Li
    • 1
  • Fangyi Li
    • 1
    • 2
  • Qiang Shen
    • 2
  1. 1.School of Computer ScienceNorthwestern Polytechnical UniversityXi’anChina
  2. 2.Department of Computer Science, Institute of Maths, Physics and Computer ScienceAberystwyth UniversityAberystwythUK

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