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Volume 12
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10.3390/axioms12020156
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Article

Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller

by
Patricia Ochoa
,
Cinthia Peraza
,
Oscar Castillo
and
Patricia Melin
*
Tijuana Institute of Technology, TecNM, Tijuana C.P. 22379, Mexico
*
Author to whom correspondence should be addressed.
Axioms 2023, 12(2), 156; https://doi.org/10.3390/axioms12020156
Submission received: 24 December 2022 / Revised: 27 January 2023 / Accepted: 29 January 2023 / Published: 2 February 2023
(This article belongs to the Special Issue Differential Equations and Genetic Algorithms)
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Abstract

The papers using fuzzy logic have generated continuous improvements for applications, and an example of this is the use of generalized type 2 fuzzy systems in real-world problems. The key idea of this paper is to present a generalized type 2 fuzzy system for augmenting differential evolution with dynamic parameter variation in order to enhance its performance and convergence. A generalized type 2 Sugeno controller was implemented with the aim of enhancing the trajectory of a robot, and an analysis of the execution time and the errors obtained by ITAE, IAE, ITSE, ISEV, RMSE, and MSE is presented. In addition, a comparison with different levels of disturbance applied to the controller was performed with the goal of demonstrating the efficiency of a type 2 fuzzy system.
Keywords: type 2 fuzzy system; differential evolution; Sugeno controller type 2 fuzzy system; differential evolution; Sugeno controller

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MDPI and ACS Style

Ochoa, P.; Peraza, C.; Castillo, O.; Melin, P. Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller. Axioms 2023, 12, 156. https://doi.org/10.3390/axioms12020156

AMA Style

Ochoa P, Peraza C, Castillo O, Melin P. Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller. Axioms. 2023; 12(2):156. https://doi.org/10.3390/axioms12020156

Chicago/Turabian Style

Ochoa, Patricia, Cinthia Peraza, Oscar Castillo, and Patricia Melin. 2023. "Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller" Axioms 12, no. 2: 156. https://doi.org/10.3390/axioms12020156

APA Style

Ochoa, P., Peraza, C., Castillo, O., & Melin, P. (2023). Generalized Type 2 Fuzzy Differential Evolution Applied to a Sugeno Controller. Axioms, 12(2), 156. https://doi.org/10.3390/axioms12020156

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