Ordered Fuzzy Numbers Applied in Bee Swarm Optimization Systems

Dawid Ewald (Casimir the Great University in Bydgoszcz, Poland)

Hubert Zarzycki (General Tadeusz Kosciuszko Military Academy of Land Forces, Poland)

Łukasz Apiecionek (Casimir the Great University in Bydgoszcz, Poland)

acek M. Czerniak (Casimir the Great University in Bydgoszcz, Poland)

Abstract: The paper presents an innovative OFNBee optimization method based on combining the swarm intelligence with the use of directed fuzzy numers OFN. In the introduction, the issues related to the subject of the study, including bee algorithms and OFN numbers, were reviewed. The innovative OFNBee algorithm was presented and verified against a set of known benchmarks functions such as Sphere, Rastrigin, Griewank, Rosenbrock, Schwefel and Ackley. These functions have been applied due to their reliability in the literature. In the further part of the study, the configuration of the algorithm parameters is carried out, including the launch of each mathematical function several dozen times for different data, such as different population sizes. The key part of the research and analysis was to compare OFNBee with six standard ABC, MBO, IMBO, TLBO, HBMO, BBMO bee algorithms. The article ends with a summary and an indication of the possible future works.

Keywords: ABC, BBMO, Fuzzy logic, HBMO, IMBO, MBO, OFN, OFNBee, TLBO, metaheuristic

Categories: H.2, H.3.7, H.5.4