Abstract
The proposal described in this paper uses the Cuckoo Search (CS) Algorithm via Lévy flights as an optimization method and its enhancement using a fuzzy system to dynamically adapt its parameter. The original method is compared with the proposed method called Fuzzy Cuckoo Search (FCS). In this case we consider a fuzzy system to dynamically change the Pa variable. Simulation results on a set of mathematical functions with the FCS outperform the traditional CS.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bacanin, N.: An object-oriented software implementation of a novel cuckoo search algorithm. In Proceedings of the 5th European Conference on European Computing Conference (ECC11), pp. 245–250 (2011)
Bonabeau, E., Dorigo, M., Theraulaz, G.: Swarm Intelligence: From Natural to Artificial Systems. Oxford University Press (1999)
Castillo, O., Neyoy, H., Soria, J.,García, M., Valdez, F.: Dynamic fuzzy logic parameter tuning for ACO and its application in the fuzzy logic control of an autonomous mobile robot. Int. J. Adv. Rob. Syst. 10 (2013)
Civicioglu P., Besdok, E.: Comparative Analysis of the Cuckoo Search Algorithm. In Cuckoo Search and Firefly Algorithm. Springer International Publishing, pp. 85–113 (2014)
Das, S., Dasgupta, P., Panigrahi, B.K.: Inter-species Cuckoo Search via Different Levy Flights. In Swarm, Evolutionary, and Memetic Computing, Springer International Publishing, pp. 515–526 (2013)
Jang, J., Sun, C., Mizutani, E.: Neuro-fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence. Prentice-Hall, Upper Saddle River (1997)
Manikandan, P., Selvarajan, S.: Data clustering using cuckoo search algorithm (CSA). In: Proceedings of the 2nd International Conference on Soft Computing for Problem Solving (SocProS 2012), Dec 28–30, 2012, pp. 1275–1283. Springer, India (2014)
Melin, P., Olivas, F., Castillo, O., Valdez, F., Soria, J., Valdez, M.: Optimal design of fuzzy classification systems using PSO with dynamic parameter adaptation through fuzzy logic. Expert Syst. Appl. 40(8), 3196–3206 (2013)
Patwardhan, A.P., Rohan P., Nithin V.G.: On a cuckoo search optimization approach towards feedback system identification. Digital Signal Process. 32, 156–163 (2014)
Pavlyukevich, I.: Cooling down Lévy flights. J. Phys. A Math. Theor. 40, 12299–12313 (2007)
Rajabioun, R.: Cuckoo optimization algorithm. Appl. Soft Comput. 11(8), 5508–5518 (2011)
Reynolds, A.M., Frye, M.A.: Free-flight odor tracking in Drosophila is consistent with an optimal intermittent scale-free search. PLoS ONE 2, e354 (2007)
Shlesinger, M.F., Zaslavsky, G.M., Frisch, U. (eds.): Lévy Flights and Related Topics in Phyics. Springer, Berlin (1995)
Sombra, A., Valdez, F., Melin, P., Castillo, O.: A new gravitational search algorithm using fuzzy logic to parameter adaptation. In: Evolutionary Computation (CEC), IEEE Congress on, pp. 1068–1074 (2013)
Valdez, F., Melin, P., Castillo, O.: A survey on nature-inspired optimization algorithms with fuzzy logic for dynamic parameter adaptation. Expert Syst. Appl. 41(14), 6459–6466 (2014)
Walton, S., Hassan, O., Morgan, K., Brown, M.R.: Modified cuckoo search: a new gradient free optimization algorithm. Chaos Solitons Fractals 44(9), 710–718 (2011)
Yang, X.S.: Cuckoo Search and Firefly Algorithm. Springer Press, Berlin (2014)
Yang, X.S.: Nature-inspired Metaheuristic Algorithms. Luniver Press (2010)
Zadeh, L.A.: Fuzzy sets. Info. Control 8, 338–353 (1965)
Acknowledgment
We thank CONACYT and Tijuana Institute of Technology for the facilities and resources granted for the development of this research.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Guerrero, M., Castillo, O., García, M. (2015). Cuckoo Search Algorithm via Lévy Flight with Dynamic Adaptation of Parameter Using Fuzzy Logic for Benchmark Mathematical Functions. In: Melin, P., Castillo, O., Kacprzyk, J. (eds) Design of Intelligent Systems Based on Fuzzy Logic, Neural Networks and Nature-Inspired Optimization. Studies in Computational Intelligence, vol 601. Springer, Cham. https://doi.org/10.1007/978-3-319-17747-2_43
Download citation
DOI: https://doi.org/10.1007/978-3-319-17747-2_43
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17746-5
Online ISBN: 978-3-319-17747-2
eBook Packages: EngineeringEngineering (R0)