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Parameter Optimization for Membership Functions of Type-2 Fuzzy Controllers for Autonomous Mobile Robots Using the Firefly Algorithm

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Fuzzy Information Processing (NAFIPS 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 831))

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Abstract

This paper describes the comparison of dynamic adjustment parameters in the firefly algorithm using type-1 and type-2 fuzzy logic for the optimization of a fuzzy controller. The adjustment is performed to improve the behavior of the method. Fuzzy systems use fuzzy sets by defining membership functions, which indicate how much an element belongs to the fuzzy set. Type-2 fuzzy logic assigns degrees of belonging that are fuzzy and this can be viewed as an extension of type-1 fuzzy logic. The Firefly algorithm has 3 main parameters Beta, Gamma and Alpha with a range of 0 to 1 each, which need to the dynamically adjusted to improve the performance of the algorithm.

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Authors and Affiliations

  1. Tijuana Institute of Technology, Tijuana, BC, Mexico

    Marylu L. Lagunes, Oscar Castillo, Fevrier Valdez, Jose Soria & Patricia Melin

Authors
  1. Marylu L. Lagunes
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  2. Oscar Castillo
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  3. Fevrier Valdez
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  4. Jose Soria
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  5. Patricia Melin
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Corresponding author

Correspondence to Oscar Castillo .

Editor information

Editors and Affiliations

  1. Department of Teleinformatics Engineering, Federal University of Ceará, Fortaleza, Ceará, Brazil

    Guilherme A. Barreto

  2. Department of Statistics & Applied Mathematics, Federal University of Ceará, Fortaleza, Ceará, Brazil

    Ricardo Coelho

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Lagunes, M.L., Castillo, O., Valdez, F., Soria, J., Melin, P. (2018). Parameter Optimization for Membership Functions of Type-2 Fuzzy Controllers for Autonomous Mobile Robots Using the Firefly Algorithm. In: Barreto, G., Coelho, R. (eds) Fuzzy Information Processing. NAFIPS 2018. Communications in Computer and Information Science, vol 831. Springer, Cham. https://doi.org/10.1007/978-3-319-95312-0_50

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  • DOI: https://doi.org/10.1007/978-3-319-95312-0_50

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  • Print ISBN: 978-3-319-95311-3

  • Online ISBN: 978-3-319-95312-0

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