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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Lagunes, M.L., Castillo, O., Soria, J.: Methodology for the optimization of a fuzzy controller using a bio-inspired algorithm. In: Melin, P., Castillo, O., Kacprzyk, J., Reformat, M., Melek, W. (eds.) NAFIPS 2017. AISC, vol. 648, pp. 131–137. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-67137-6_14
Yang, X.-S.: Nature-Inspired Metaheuristic Algorithms. Luniver Press, Bristol (2010)
Yang, X.-S., He, X.: Firefly algorithm: recent advances and applications. Int. J. Swarm Intell. 1(1), 36–50 (2013)
Soto, C., Valdez, F., Castillo, O.: A review of dynamic parameter adaptation methods for the firefly algorithm. In: Melin, P., Castillo, O., Kacprzyk, J. (eds.) Nature-Inspired Design of Hybrid Intelligent Systems. SCI, vol. 667, pp. 285–295. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-47054-2_19
Solano-Aragón, C., Castillo, O.: Optimization of benchmark mathematical functions using the firefly algorithm. In: Castillo, O., Melin, P., Pedrycz, W., Kacprzyk, J. (eds.) Recent Advances on Hybrid Approaches for Designing Intelligent Systems. SCI, vol. 547, pp. 177–189. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-05170-3_13
Amador-Angulo, L., Castillo, O.: 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. SCI, vol. 667, pp. 551–571. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-47054-2_36
Caraveo, C., Valdez, F., Castillo, O.: Optimization mathematical functions for multiple variables using the algorithm of self-defense of the plants. In: Melin, P., Castillo, O., Kacprzyk, J. (eds.) Nature-Inspired Design of Hybrid Intelligent Systems. SCI, vol. 667, pp. 631–640. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-47054-2_41
Castillo, O., Martinez Marroquin, R., Melin, P., Valdez, F., Soria, J.: Comparative study of bio-inspired algorithms applied to the optimization of type-1 and type-2 fuzzy controllers for an autonomous mobile robot. Inf. Sci. 192, 19–38 (2012)
Castillo, O., Neyoy, H., Soria, J., Melin, P., Valdez, F.: A new approach for dynamic fuzzy logic parameter tuning in ant colony optimization and its application in fuzzy control of a mobile robot. Appl. Soft Comput. 28, 150–159 (2015)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Zadeh, L.A.: Fuzzy logic. Computer 21(4), 83–93 (1988)
Zadeh, L.A.: On Fuzzy Algorithms, pp. 127–147 (1996)
Karnik, N.N., Mendel, J.M.: Operations on type-2 fuzzy sets. Fuzzy Sets Syst. 122, 327–348 (2001)
Karnik, N.N., Mendel, J.M., Liang, Q.: Type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 7(6), 643–658 (1999)
Liang, Q., Mendel, J.M.: Interval type-2 fuzzy logic systems: theory and design. IEEE Trans. Fuzzy Syst. 8(5), 535–550 (2000)
Yang, X.-S.: Firefly algorithm. Nature-Inspired Metaheuristic Algorithms, pp. 79–90. Luniver Press, Bristol (2008)
Astudillo, L., Melin, P., Castillo, O.: Optimization of a fuzzy tracking controller for an autonomous mobile robot under perturbed torques by means of a chemical optimization paradigm. In: Castillo, O., Melin, P., Kacprzyk, J. (eds.) Recent Advances on Hybrid Intelligent Systems. SCI, vol. 547, pp. 3–20. Springer, Berlin (2013). https://doi.org/10.1007/978-3-642-33021-6_1
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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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