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Article

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

Tijuana Institute of Technology, Calzada Tecnologico s/n, Fracc. Tomas Aquino, 22379 Tijuana, Mexico
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Academic Editor: Hsien-Chung Wu
Received: 14 June 2021 / Revised: 5 August 2021 / Accepted: 14 August 2021 / Published: 19 August 2021
(This article belongs to the Special Issue Fuzzy Control Systems: Theory and Applications)
This work is mainly focused on improving the differential evolution algorithm with the utilization of shadowed and general type 2 fuzzy systems to dynamically adapt one of the parameters of the evolutionary method. Previously, we have worked with both kinds of fuzzy systems in different types of benchmark problems and it has been found that the use of fuzzy logic in combination with the differential evolution algorithm gives good results. In some of the studies, it is clearly shown that, when compared to other algorithms, our methodology turns out to be statistically better. In this case, the mutation parameter is dynamically moved during the evolution process by using shadowed and general type-2 fuzzy systems. The main contribution of this work is the ability to determine, through experimentation in a benchmark control problem, which of the two kinds of the used fuzzy systems has better results when combined with the differential evolution algorithm. This is because there are no similar works to our proposal in which shadowed and general type 2 fuzzy systems are used and compared. Moreover, to validate the performance of both fuzzy systems, a noise level is used in the controller, which simulates the disturbances that may exist in the real world and is thus able to validate statistically if there are significant differences between shadowed and general type 2 fuzzy systems. View Full-Text
Keywords: shadowed type-2 fuzzy sets; generalized type-2 fuzzy systems; differential evolution algorithm shadowed type-2 fuzzy sets; generalized type-2 fuzzy systems; differential evolution algorithm
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MDPI and ACS Style

Ochoa, P.; Castillo, O.; Melin, P.; Soria, J. Differential Evolution with Shadowed and General Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Optimal Design of Fuzzy Controllers. Axioms 2021, 10, 194. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10030194

AMA Style

Ochoa P, Castillo O, Melin P, Soria J. Differential Evolution with Shadowed and General Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Optimal Design of Fuzzy Controllers. Axioms. 2021; 10(3):194. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10030194

Chicago/Turabian Style

Ochoa, Patricia, Oscar Castillo, Patricia Melin, and José Soria. 2021. "Differential Evolution with Shadowed and General Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Optimal Design of Fuzzy Controllers" Axioms 10, no. 3: 194. https://0-doi-org.brum.beds.ac.uk/10.3390/axioms10030194

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