Abstract
This paper proposes a group-based evolutionary algorithm (GEA) for the fuzzy system (FS) optimization. Initially, we adopt an entropy measure method to determine the number of rules. Fuzzy rules are automatically generated from training data by entropy measure. Subsequently, the GEA is performed to optimize all the free parameters for the FS design. In the evolution process, a FS is coded as an individual. All individuals based on their performance are partitioned into a superior group and an inferior group. The superior group, which is composed of individuals with better performance, uses a global evolution operation to search potential individuals. In the inferior group, individuals with a worse performance employ the local evolution operation to search better individuals near the current best individual. Finally, the proposed FS with GEA model (FS-GEA) is applied to time series forecasting problem. Results show that the proposed FS-GEA model obtains better performance than other algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Lin, C.T., Lee, C.S.G.: Neural Fuzzy Systems: A Neuro-Fuzzy Synergism to Intelligent System. Prentice-Hall, Englewood Cliffs (1996)
Han, M.F., Lin, C.T., Chang, J.Y.: A Compensatory Neurofuzzy System with Online Constructing and Parameter Learning. In: Proc. of 2010 IEEE International Conference on Syst., Man, and Cybern., pp. 552–556 (2010)
Chen, C.H., Lin, C.J., Lin, C.T.: A Functional-Link-Based Neurofuzzy Network for Nonlinear System Control. IEEE Trans. Fuzzy Syst. 16, 1362–1378 (2008)
Juang, C.F., Chang, P.H.: Designing Fuzzy Rule-Based Systems Using Continuous Ant Colony Optimization. IEEE Trans. Fuzzy Syst. 18, 138–149 (2010)
Sanchez, E., Shibata, T., Zadeh, L.A.: Genetic Algorithms and Fuzzy Logic Systems: Soft Computing Perspectives. World Scientific, Singapore (1997)
Chou, C.H.: Genetic Algorithm-Based Optimal Fuzzy Controller Design in The Linguistic Space. IEEE Trans. Fuzzy Syst. 14, 372–385 (2006)
Juang, C.F., Hsiao, C.M., Hsu, C.H.: Hierarchical Cluster-Based Multispecies Particle-Swarm Optimization for Fuzzy-System Optimization. IEEE Trans. Fuzzy Syst. 18, 14–26 (2010)
Juang, C.F.: A Hybrid of Genetic Algorithm and Particle Swarm Optimization for Recurrent Network Design. IEEE Trans. Syst., Man, Cybern. B 34, 997–1006 (2004)
Li, C., Chiang, T.W.: Complex Fuzzy Model with PSO-RLSE Hybrid Learning Approach to Function Approximation. International Journal of Intelligent Information and Database Systems 5, 409–430 (2011)
Lin, C.J., Lee, C.Y.: Non-Linear System Control Using A Recurrent Fuzzy Neural Network Based on Improved Particle Swarm Optimization. International Journal of Systems Science 41, 381–395 (2010)
Das, S., Suganthan, P.N.: Differential Evolution: A Survey of the State-of-the-Art. IEEE Trans. Evol. Comput. 14, 4–31 (2011)
Lin, C.T., Han, M.F., Lin, Y.Y., Liao, S.H., Chang, J.Y.: Neuro-Fuzzy System Design Using Differential Evolution with Local Information. In: 2011 IEEE International Conference on Fuzzy Systems, pp. 1003–1006 (2011)
Brest, J., Greiner, S., Boskovic, B., Mernik, M., Zumer, V.: Self-Adapting Control Parameters in Differential Evolution: A Comparative Study on Numerical Benchmark Problems. IEEE Trans. Evol. Comput. 10, 646–659 (2006)
Han, M.F., Lin, C.T., Chang, J.Y.: Group-Based Differential Evolution for Numerical Optimization Problems. International Journal of Innovative Computing, Information and Control 9, 2 (2013)
Chen, C.H., Lin, C.J., Lin, C.T.: Nonlinear System Control Using Adaptive Neural Fuzzy Networks Based on a Modified Differential Evolution. IEEE Trans. Syst. Man Cybern. Part C, Appl. Rev., 459–473 (2009)
Lin, C.-J., Chen, C.-H., Lin, C.-T.: Efficient Self-Evolving Evolutionary Learning for Neurofuzzy Inference Systems. IEEE Trans. Fuzzy Syst. 16(6), 1476–1490 (2008)
Lin, C.-J., Wu, C.-F., Lee, C.-Y.: Design of a Recurrent Functional Neural Fuzzy Network Using Modified Differential Evolution. International Journal of Innovative Computing, Information and Control 7(1), 669–683 (2011)
Cho, K.B., Wang, B.H.: Radial Basis Function Based Adaptive Fuzzy Systems and Their Applications to System Identification. Fuzzy Sets Syst. 83, 325–339 (1996)
Kim, J., Kasabov, N.K.: HyFIS: Adaptive neuro-fuzzy inference systems and their application to nonlinear dynamic systems. Neural Netw. 12, 1301–1319 (1999)
Nauk, D., Kruse, R.: Neuro-Fuzzy Systems for Function Approximation. Fuzzy Sets Syst. 101, 261–271 (1999)
Wu, S., Er, M.J.: Dynamic Fuzzy Neural Networks—A Novel Approach to Function Approximation. IEEE Trans. Syst., Man, Cybern. B 30, 358–364 (2000)
Karr, C.L.: Design of An Adaptive Fuzzy Logic Controller Using A Genetic Algorithm. In: Proc. 4th Conf. Genetic Algorithms, pp. 450–457 (1991)
Juang, C.F., Lin, J.Y., Lin, C.T.: Genetic Reinforcement Learning Through Symbiotic Evolution for Fuzzy Controller Design. IEEE Trans. Syst., Man, Cybern., Part B 30, 290–302 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chang, JY., Han, MF., Lin, CT. (2012). Optimization of Fuzzy Systems Using Group-Based Evolutionary Algorithm. In: Huang, T., Zeng, Z., Li, C., Leung, C.S. (eds) Neural Information Processing. ICONIP 2012. Lecture Notes in Computer Science, vol 7665. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34487-9_36
Download citation
DOI: https://doi.org/10.1007/978-3-642-34487-9_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34486-2
Online ISBN: 978-3-642-34487-9
eBook Packages: Computer ScienceComputer Science (R0)