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Comparative Study of Type-1 and Interval Type-2 Fuzzy Logic Systems in Parameter Adaptation for the Fuzzy Discrete Mycorrhiza Optimization Algorithm

Author

Listed:
  • Hector Carreon-Ortiz

    (Tijuana Institute of Technology, TecNM, Tijuana 22379, Mexico)

  • Fevrier Valdez

    (Tijuana Institute of Technology, TecNM, Tijuana 22379, Mexico)

  • Oscar Castillo

    (Tijuana Institute of Technology, TecNM, Tijuana 22379, Mexico)

Abstract

The Fuzzy Discrete Mycorrhiza Optimization (FDMOA) Algorithm is a new hybrid optimization method using the Discrete Mycorrhiza Optimization Algorithm (DMOA) in combination with type-1 or interval type-2 fuzzy logic system. In this new research, when using T1FLS, membership functions are defined by type-1 fuzzy sets, which allows for a more flexible and natural representation of uncertain and imprecise data. This approach has been successfully applied to several optimization problems, such as in feature selection, image segmentation, and data clustering. On the other hand, when DMOA is using IT2FLS, membership functions are represented by interval type-2 fuzzy sets, which allows for a more robust and accurate representation of uncertainty. This approach has been shown to handle higher levels of uncertainty and noise in the input data and has been successfully applied to various optimization problems, including control systems, pattern recognition, and decision-making. Both DMOA using T1FLS and DMOA using IT2FLS have shown better performance than the original DMOA algorithm in many applications. The combination of DMOA with fuzzy logic systems provides a powerful and flexible optimization framework that can be adapted to various problem domains. In addition, these techniques have the potential to more efficiently and effectively solve real-world problems.

Suggested Citation

  • Hector Carreon-Ortiz & Fevrier Valdez & Oscar Castillo, 2023. "Comparative Study of Type-1 and Interval Type-2 Fuzzy Logic Systems in Parameter Adaptation for the Fuzzy Discrete Mycorrhiza Optimization Algorithm," Mathematics, MDPI, vol. 11(11), pages 1-38, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2501-:d:1158856
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    References listed on IDEAS

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    2. Mohammad Bagher Ghaemi & Nahid Gharakhanlu & Themistocles M. Rassias & Reza Saadati, 2021. "Advances in Matrix Inequalities," Springer Optimization and Its Applications, Springer, number 978-3-030-76047-2, December.
    3. Mao, Kun & Pan, Quan-ke & Pang, Xinfu & Chai, Tianyou, 2014. "A novel Lagrangian relaxation approach for a hybrid flowshop scheduling problem in the steelmaking-continuous casting process," European Journal of Operational Research, Elsevier, vol. 236(1), pages 51-60.
    4. Stavros P. Adam & Stamatios-Aggelos N. Alexandropoulos & Panos M. Pardalos & Michael N. Vrahatis, 2019. "No Free Lunch Theorem: A Review," Springer Optimization and Its Applications, in: Ioannis C. Demetriou & Panos M. Pardalos (ed.), Approximation and Optimization, pages 57-82, Springer.
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