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Comparative Analysis of Designing Differents Types of Membership Functions Using Bee Colony Optimization in the Stabilization of Fuzzy Controllers

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Book cover Nature-Inspired Design of Hybrid Intelligent Systems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 667))

Abstract

A study of the optimization of different types of membership functions (MF) using Bee Colony Optimization (BCO) for the stabilization of fuzzy controllers is presented. The main objective of the work is based on the main reasons for the comparative analysis of BCO as an optimization technique for the design of the Mamdani fuzzy controllers, specifically in tuning membership functions for two problems in fuzzy control. Simulations results confirmed that using the BCO to optimize the membership functions and the scaling gains of the fuzzy system improved the controller performance. The six metrics of the ITAE, ITSE, IAE, ISE, RMSE and MSE for the errors in control are implemented.

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Authors and Affiliations

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

    Leticia Amador-Angulo & Oscar Castillo

Authors
  1. Leticia Amador-Angulo
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  2. Oscar Castillo
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Corresponding author

Correspondence to Leticia Amador-Angulo .

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Editors and Affiliations

  1. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, BC, Mexico

    Patricia Melin

  2. Division of Graduate Studies and Research, Tijuana Institute of Technology, Tijuana, BC, Mexico

    Oscar Castillo

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

    Janusz Kacprzyk

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Amador-Angulo, L., Castillo, O. (2017). Comparative Analysis of Designing Differents Types of Membership Functions Using Bee Colony Optimization in the Stabilization of Fuzzy Controllers. In: Melin, P., Castillo, O., Kacprzyk, J. (eds) Nature-Inspired Design of Hybrid Intelligent Systems. Studies in Computational Intelligence, vol 667. Springer, Cham. https://doi.org/10.1007/978-3-319-47054-2_36

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  • DOI: https://doi.org/10.1007/978-3-319-47054-2_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-47053-5

  • Online ISBN: 978-3-319-47054-2

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