Results
Title

Generalized Type-2 Fuzzy Approach for Parameter Adaptation in the Whale Optimization Algorithm.

Authors

Amador-Angulo, Leticia; Castillo, Oscar; Melin, Patricia; Geem, Zong Woo

Abstract

An enhanced whale optimization algorithm (WOA) through the implementation of a generalized type-2 fuzzy logic system (GT2FLS) is outlined. The initial idea is to improve the efficacy of the original WOA using a GT2FLS to find the optimal values of the r → 1 and r → 2 parameters of the WOA, for the case of optimizing mathematical functions. In the WOA algorithm, r → 1 is a variable that affects the new position of the whale in the search space, in this case, affecting the exploration, and r → 2 is a variable that has an effect on finding the local optima, which is an important factor for the exploration. The efficiency of a fuzzy WOA with a GT2FLS (FWOA-GT2FLS) is highlighted by presenting the excellent results of the case study of the benchmark function optimization. A relevant analysis and comparison with a bio-inspired algorithm based on artificial bees is also presented. Statistical tests and comparisons with other bio-inspired algorithms and the initial WOA, with type-1 FLS (FWOA-T1FLS) and interval type-2 FLS (FWOA-IT2FLS), are presented. For each of the methodologies, the metric for evaluation is the average of the minimum squared errors.

Subjects

METAHEURISTIC algorithms; MATHEMATICAL functions; FUZZY logic; FUZZY systems; BEES

Publication

Mathematics (2227-7390), 2024, Vol 12, Issue 24, p4031

ISSN

2227-7390

Publication type

Academic Journal

DOI

10.3390/math12244031