Optimization of Benchmark Mathematical Functions Using the Firefly Algorithm with Dynamic Parameters

1. Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning, Reading, Mass, Addison Wesley, Reading (1989)

   Google Scholar 

2. Melendez, A., Castillo, O.: Evolutionary optimization of the fuzzy integrator in a navigation system for a mobile robot. Recent Adv. Hybrid Intell. Syst. 21–31 (2013)

   Google Scholar 

3. Rodriguez Vázquez, K.: Multiobjective Evolutionary Algorithms in Non-linear System Identification. Automatic Control and Systems Engineering, The University of Sheffield, Sheffield, p. 185 (1999)

   Google Scholar 

4. 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. Recent Adv. Hybrid Intell. Syst. 3–20 (2013)

   Google Scholar 

5. Cervantes, L., Castillo, O.: Genetic optimization of membership functions in modular fuzzy controllers for complex problems. Recent Adv Hybrid Intell. Syst. 51–62 (2013)

   Google Scholar 

6. Holland, H.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)

   Google Scholar 

7. Yang, X.S.: Nature-Inspired Metaheuristic Algorithms. Luniver Press, Europe (2008)

   Google Scholar 

8. Yang, X.S.: Firefly algorithms for multimodal optimization. In: Stochastic Algorithms Foundations and Applications (SAGA’09). Lecture Notes in Computing Sciences, Vol. 5792. , Springer, New York, pp. 169–178 (2009)

   Google Scholar 

9. Yang, X.S.: Firefly algorithm stochastic test functions and design optimization. Int. J. Bio-Inspired Comput. 2(2), 78–84 (2010)

   Article  Google Scholar 

10. Yang, X.S.: Firefly algorithm, lévy flights and global optimization. In: Bramer, M., Ellis, R., Petridis, M. (eds.) Research and Development in Intelligent Systems, Vol. XXVI, pp. 209–218. Springer, London (2010)

    Google Scholar 

11. Valdez, F., Melin, P.: Comparative study of particle swarm optimization and genetic algorithms for mathematical complex functions. J. Autom. Mob. Robot. Intell. Syst. (JAMRIS) 2, 43–51 (2008)

    Google Scholar 

12. Valdez, F., Melin, P., Castillo, O.: An improved evolutionary method with fuzzy logic for combining particle swarm optimization and genetic algorithms. Appl. Soft Comput. 11(2), 2625–2632 (2011)

    Article  Google Scholar 

13. Valdez, F., Melin, P., Castillo, O.: Bio-inspired optimization methods on graphic processing unit for minimization of complex mathematical functions. Recent Adv. Hybrid Intell. Syst. 313–322 (2013)

    Google Scholar 

14. Melin, P., Olivas, F., Castillo, O., Valdez, F., Soria, J., García, J.M.: Valdez: optimal design of fuzzy classification systems using PSO with dynamic parameter adaptation through fuzzy logic. Expert Syst. Appl. 40(8), 3196–3206 (2013)

    Article  Google Scholar 

15. Haupt, R., Haupt, S.: Practical genetic algorithms 2nd ed. A Wiley-Interscience Publication (1998)

    Google Scholar 

16. Solano-Aragon, C., Castillo, O.: Optimization of benchmark mathematical functions using the firefly algorithm. Recent Adv. Hybrid Approaches Designing Intell. Syst. 177–189 (2013)

    Google Scholar 

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