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A Fuzzy Harmony Search Algorithm for the Optimization of a Benchmark Set of Functions

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Advances in Soft Computing (MICAI 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11288))

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Abstract

A fuzzy harmony search algorithm (FHS) is presented in this paper. This method uses a fuzzy system for dynamic adaptation of the harmony memory accepting (HMR) parameter along the iterations, and in this way achieving control of the intensification and diversification of the search space. This method was previously applied to classic benchmark mathematical functions with different number of dimensions. However, in this case we decided to apply the proposed FHS to benchmark mathematical problems provided by the CEC 2015 competition, which are unimodal, multimodal, hybrid and composite functions to check the efficiency for the proposed method. A comparison is presented to verify the results obtained with respect to the original harmony search algorithm and fuzzy harmony search algorithm.

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Authors and Affiliations

  1. Division of Graduate Studies, Tijuana Institute of Technology, Tijuana, Mexico

    Cinthia Peraza, Fevrier Valdez, Oscar Castillo & Patricia Melin

Authors
  1. Cinthia Peraza
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  2. Fevrier Valdez
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  3. Oscar Castillo
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  4. Patricia Melin
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Corresponding author

Correspondence to Oscar Castillo .

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Editors and Affiliations

  1. Instituto Politécnico Nacional, Mexico City, Mexico

    Ildar Batyrshin

  2. Universidad Panamericana, Mexico City, Mexico

    María de Lourdes Martínez-Villaseñor

  3. Faculty of Engineering, Universidad Panamericana, Mexico City, Mexico

    Hiram Eredín Ponce Espinosa

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Peraza, C., Valdez, F., Castillo, O., Melin, P. (2018). A Fuzzy Harmony Search Algorithm for the Optimization of a Benchmark Set of Functions. In: Batyrshin, I., Martínez-Villaseñor, M., Ponce Espinosa, H. (eds) Advances in Soft Computing. MICAI 2018. Lecture Notes in Computer Science(), vol 11288. Springer, Cham. https://doi.org/10.1007/978-3-030-04491-6_31

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  • DOI: https://doi.org/10.1007/978-3-030-04491-6_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04490-9

  • Online ISBN: 978-3-030-04491-6

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