Abstract
In this paper we are presenting a method using fuzzy logic for dynamic parameter adaptation in the imperialist competitive algorithm, which is usually known by its acronym ICA. The ICA algorithm was initially studied in its original form to find out how it works and what parameters have more effect upon its results. Based on this study, several designs of fuzzy systems for dynamic adjustment of the ICA parameters are proposed. The experiments were performed on the basis of solving complex optimization problems, particularly applied to benchmark mathematical functions. A comparison of the original imperialist competitive algorithm and our proposed fuzzy imperialist competitive algorithm was performed. In addition, the fuzzy ICA was compared with another metaheuristic using a statistical test to measure the advantage of the proposed fuzzy approach for dynamic parameter adaptation.
Highlights
Swarm intelligence techniques have gained popularity in recent decades because of their capacity to locate partially optimal solutions for combinatorial optimization problems
The imperialist competitive algorithm (ICA) [28,29] is tested with 6 mathematical functions with 30 dimensions for each of the β, ξ parameters and a combination of β and ξ and the results that were obtained by the ICA algorithm and our fuzzy ICA proposal are shown in separate tables for each function
The parameters of metaheuristic algorithms have mostly been chosen by trial and error, which is why we decided to carry out a modification to the ICA algorithm to achieve better performance than the original algorithm and improve convergence, in this way avoiding getting stuck in local optima
Summary
Swarm intelligence techniques have gained popularity in recent decades because of their capacity to locate partially optimal solutions for combinatorial optimization problems. ICA was originated on the idea of imperialism and in this process stronger countries try to colonize the weakest countries and make them part of their colonies [4]. This algorithm has been currently used in different industrial applications [5]
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