A Shadowed Type-2 Fuzzy Approach for Crossover Parameter Adaptation in Differential Evolution

Author:

Ochoa Patricia1,Peraza Cinthia1ORCID,Castillo Oscar1ORCID,Geem Zong Woo2ORCID

Affiliation:

1. Tijuana Institute of Technology, TecNM, Calzada Tecnologico s/n, Fracc. Tomas Aquino, Tijuana 22379, Mexico

2. College of IT Convergence, Gachon University, Seongnam 13120, Republic of Korea

Abstract

The shadowed type-2 fuzzy systems are used more frequently today as they provide an alternative to classical fuzzy logic. The primary purpose of fuzzy logic is to simulate reasoning in a computer. This work aims to use shadowed type-2 fuzzy systems (ST2-FS) to dynamically adapt the crossing parameter of differential evolution (DE). To test the performance of the dynamic crossing parameter, the motor position control problem was used, which contains an interval type-2 fuzzy system (IT2-FS) for controlling the motor. A comparison is made between the original DE and the algorithm using shadowed type-2 fuzzy systems (DE-ST2-FS), as well as a comparison with the results of other state-of-the-art metaheuristics.

Publisher

MDPI AG

Subject

Computational Mathematics,Computational Theory and Mathematics,Numerical Analysis,Theoretical Computer Science

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