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

Oscar Castillo, Cinthia Peraza, Patricia Ochoa, Leticia Amador-Angulo, Patricia Melin, Yongjin Park and Zong Woo Geem
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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

Mathematics, 2021, vol. 9, issue 19, 1-20

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.

Keywords: shadowed type-2 fuzzy systems; harmony search; differential evolution algorithm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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