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Interval Type-3 Fuzzy Differential Evolution for Parameterization of Fuzzy Controllers

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Abstract

Fuzzy logic has been successfully utilized in a plethora of disciplines, and this article is presenting, for the first time, the utilization of interval type-3 fuzzy sets in the differential evolution (DE) algorithm. Type-3 fuzzy theory is a recently new proposal in the literature, and for this work, a study is carried out by varying an important element of interval type-3 fuzzy sets, called the LowerScale (λ) parameter, which is varied to create different fuzzy systems that are used to dynamically move a parameter of differential evolution during execution with the goal of improving its convergence. Experiments with benchmark functions and motor control optimization were undertaken to test the proposed type-3 differential evolution approach. This work aims to find out how the variation of the LowerScale (λ) influences the results on the two different presented case studies. Simulation results demonstrate that interval type-3 in combination with DE outperforms the type-1 and interval type-2 variants of DE, previously proposed in the literature.

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Authors and Affiliations

  1. Tijuana Institute of Technology, Tijuana, Mexico

    Patricia Ochoa, Oscar Castillo & Patricia Melin

  2. UABC University, Tijuana, Mexico

    Juan R. Castro

Authors
  1. Patricia Ochoa
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  2. Oscar Castillo
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  3. Patricia Melin
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  4. Juan R. Castro
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Correspondence to Oscar Castillo.

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Ochoa, P., Castillo, O., Melin, P. et al. Interval Type-3 Fuzzy Differential Evolution for Parameterization of Fuzzy Controllers. Int. J. Fuzzy Syst. 25, 1360–1376 (2023). https://doi.org/10.1007/s40815-022-01451-4

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  • DOI: https://doi.org/10.1007/s40815-022-01451-4

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