Shadowed Type-2 Fuzzy Systems for Dynamic Parameter Adaptation in Harmony Search and Differential Evolution for Optimal Design of Fuzzy Controllers
- Authors
- Castillo, O.; Peraza, C.; Ochoa, P.; Amador-Angulo, L.; Melin, P.; Park, Yongjin; Geem, Zong Woo
- Issue Date
- Oct-2021
- Publisher
- MDPI
- Keywords
- Differential evolution algorithm; Harmony search; Shadowed type-2 fuzzy systems
- Citation
- Mathematics, v.9, no.19
- Journal Title
- Mathematics
- Volume
- 9
- Number
- 19
- URI
- https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/83454
- DOI
- 10.3390/math9192439
- ISSN
- 2227-7390
- 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. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.
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