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Application of the New FAAO Metaheuristics in Modeling and Simulation of the Search for the Optimum of a Function with Many Extremes

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Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives (IWIFSGN 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1081))

Abstract

The article presents a new multi-criteria optimization method called Fuzzy Artificial Acari Optimization (FAAO). The AAO method was tested using ten commonly known benchmarks functionssuch as; Sphere - with a uniform surface, having only one minimum, Ackley - with a relatively uniform surface, having several dozen local minima and one global maximum with a much smaller value than most local minima, Eggholder -with an uneven surface, several dozen local minima, values similar to its global minimum global and Easom - with a flat surface in the vast majority of the domain, with global minimum of small area relative to the search space. The results were compared with other representatives of the Swarm Intelligence trend, such as ABC, PSO. It is very important to observe that FAAO is almost always the fastest, which can be treated as a good prognosis in the future applications of this metaheuristic.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Casimir the Great University in Bydgoszcz, ul. Chodkiewicza 30, 85-064, Bydgoszcz, Poland

    Jacek M. Czerniak, Dawid Ewald & Piotr Augustyn

  2. University of Information Technology and Management Copernicus, ul. Inowroclawska 56, 53-648, Wroclaw, Poland

    Hubert Zarzycki

Authors
  1. Jacek M. Czerniak
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  2. Dawid Ewald
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  3. Hubert Zarzycki
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  4. Piotr Augustyn
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Corresponding author

Correspondence to Jacek M. Czerniak .

Editor information

Editors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering, Sofia, Bulgaria

    Krassimir T. Atanassov

  2. Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering, Sofia, Bulgaria

    Vassia Atanassova

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  4. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Andrzej Kaluszko

  5. WIT- Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

  6. Polish Acadamy of Sciences, Systems Research Institute, Warsaw, Poland

    Jan W. Owsinski

  7. Intelligent Systems Laboratory, Faculty of Technical Sciences, Bourgas, Bulgaria

    Sotir Sotirov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Evdokia Sotirova

  9. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  10. Polish Academy of Sciences, Systems Research Institute, Warszawa, Poland

    Slawomir Zadrozny

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Czerniak, J.M., Ewald, D., Zarzycki, H., Augustyn, P. (2021). Application of the New FAAO Metaheuristics in Modeling and Simulation of the Search for the Optimum of a Function with Many Extremes. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol 1081. Springer, Cham. https://doi.org/10.1007/978-3-030-47024-1_30

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