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Shadowed Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Harmony Search and Differential Evolution for Optimal Design of Fuzzy Controllers

Author

Listed:
  • Oscar Castillo

    (Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana 22379, Mexico)

  • Cinthia Peraza

    (Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana 22379, Mexico)

  • Patricia Ochoa

    (Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana 22379, Mexico)

  • Leticia Amador-Angulo

    (Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana 22379, Mexico)

  • Patricia Melin

    (Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana 22379, Mexico)

  • Yongjin Park

    (Department of Transportation Engineering, Keimyung University, Daegu 42601, Korea)

  • Zong Woo Geem

    (College of IT Convergence, Gachon University, Seongnam 13120, Korea)

Abstract

This article mainly focuses on the utilization of shadowed type-2 fuzzy systems used to achieve the goal of dynamically adapting the parameters of two already known algorithms in the literature: the harmony search and the differential evolution algorithms. It has already been established that type-2 fuzzy logic enhances the performance of metaheuristics by enabling parameter adaptation; however, the utilization of fuzzy logic results in an increased execution time. For this reason, in this article, the shadowed type-2 fuzzy approach is put forward as a way of reducing execution time, while maintaining the good results that the complete type-2 fuzzy model produces. The harmony search and differential evolution algorithms with shadowed type-2 parameter adaptations were applied to the problem of optimally designing fuzzy controllers. The simulations were performed with the controllers working in an ideal situation, and then with a real situation under different noise levels in order to reach a conclusion regarding the performance of each of the algorithms that were applied.

Suggested Citation

  • Oscar Castillo & Cinthia Peraza & Patricia Ochoa & Leticia Amador-Angulo & Patricia Melin & Yongjin Park & Zong Woo Geem, 2021. "Shadowed Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Harmony Search and Differential Evolution for Optimal Design of Fuzzy Controllers," Mathematics, MDPI, vol. 9(19), pages 1-20, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2439-:d:648189
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    References listed on IDEAS

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    1. Ahmadianfar, Iman & Kheyrandish, Ali & Jamei, Mehdi & Gharabaghi, Bahram, 2021. "Optimizing operating rules for multi-reservoir hydropower generation systems: An adaptive hybrid differential evolution algorithm," Renewable Energy, Elsevier, vol. 167(C), pages 774-790.
    2. K. Z. Gao & P. N. Suganthan & Q. K. Pan & T. J. Chua & T. X. Cai & C. S. Chong, 2016. "Discrete harmony search algorithm for flexible job shop scheduling problem with multiple objectives," Journal of Intelligent Manufacturing, Springer, vol. 27(2), pages 363-374, April.
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