Modified bat algorithm with quaternion representation

Fister, Iztok, Brest, Janez, Fister, Iztok [Jr.] and Yang, Xin-She ORCID: https://orcid.org/0000-0001-8231-5556 (2015) Modified bat algorithm with quaternion representation. 2015 IEEE Congress on Evolutionary Computation (CEC). In: IEEE Congress on Evolutionary Computation (CEC 2015), 25-28 May 2015, Sendai, Japan. . ISSN 1089-778X [Conference or Workshop Item] (doi:10.1109/CEC.2015.7256930)

Abstract

This paper introduces a modified bat algorithm using quaternion representation of individuals. Quaternions are a number system, which extends complex numbers. They are successfully applied to problems of theoretical physics and to those areas needing fast rotation calculations. We propose the application of quaternions in optimization, more precisely, we have been using quaternions for representation of individuals in bat algorithm belonging to a swarm intelligence family. It is expected that the problems with stagnation in swarm intelligence should be reduced or even eliminated. We believe that this representation could successfully be applied also to the other swarm intelligence and evolutionary algorithms.

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