Abstract
In this paper, a new method to perform the times series prediction using modular neural networks with type-1 fuzzy logic integration is proposed. The proposed method consists in the division of a dataset into modules and each module learns a specific period of the time series. Each module has a prediction, but the final prediction is obtained using type-1 fuzzy logic. To prove the effectiveness of the proposed method, 800 points of the Mackey-Glass time series are used; 500 points are used for the training phase and 300 for the testing phase. In this work the number of modules is fixed established but the number of points in each module for the training phase is randomly established. Different trainings are performed using different modular neural architectures (number of hidden layers and neurons) and a type-1 fuzzy integrator is used to perform a final comparison.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Adhikari, R., Agrawal, R.K.: An introductory study on time series modeling and forecasting. LAP Lambert Academic Publishing, Germany (2013)
Azamm, F.: Biologically inspired modular neural networks. PhD thesis, Virginia Polytechnic Institute and State University, Blacksburg, Virginia (2000)
Brockwell, P.J., Davis, R.A.: Introduction to Time Series and Forecasting, 2nd edn. Springer, Berlin (2002)
Hidalgo, D., Castillo, O., Melin, P.: Type-1 and type-2 fuzzy inference systems as integration methods in modular neural networks for multimodal biometry and its optimization with genetic algorithms. Soft Comput. Hybrid Intell. Syst. pp. 89–114 (2008)
Hofmann, H.D.: Application of intelligent measurements with metrical image processing for quality control. In: Resented at the 5th International Conference, PEDAC’ 92, Alexandria, Egypt, Dec 2005
Jang, J., Sun, C., Mizutani, E.: Neuro-Fuzzy and Soft Computing. Prentice Hall, New Jersey (1997)
Khan, A., Bandopadhyaya, T., Sharma, S.: Classification of stocks using self organizing map. Int. J. Soft Comput. Appl. 4, 19–24 (2009)
Khashei, M., Bijari, M.: An artificial neural network (p, d, q) model for time series forecasting. Expert Syst. Appl. Int. J. 37(1), 479–489 (2010)
Mackey, M.C.: Adventures in Poland: having fun and doing research with Andrzej Lasota. Mat. Stosow. pp. 5–32 (2007)
Mackey, M.C., Glass, L.: Oscillation and chaos in physiological control systems. Science 197, 287–289 (1997)
Melin, P., Castillo, O.: Hybrid Intelligent Systems for Pattern Recognition Using Soft Computing: An Evolutionary Approach for Neural Networks and Fuzzy Systems, 1st edn, pp. 119–122. Springer, Berlin (2005)
Melin, P., Kacprzyk J., Pedrycz, W: Bio-inspired Hybrid Intelligent Systems for Image Analysis and Pattern Recognition. Springer, Berlin (2009)
Melin, P., Sánchez, D., Castillo, O.: Genetic optimization of modular neural networks with fuzzy response integration for human recognition. Inf. Sci. 197, 1–19 (2012)
Muñoz, R., Castillo, O., Melin, P.: Face, fingerprint and voice recognition with modular neural networks and fuzzy integration. In: Bio-inspired Hybrid Intelligent Systems for Image Analysis and Pattern Recognition 2009, pp. 69–79. Springer, Berlin (2009)
Nawa, N., Takeshi, F., Hashiyama, T., Uchikawa, Y.: A study on the discovery of relevant fuzzy rules using pseudobacterial genetic algorithm. IEEE Trans. Indu. Electron. 46(6), 1080–1089 (1999)
Okamura, M., Kikuchi, H., Yager, R., Nakanishi, S.: Character diagnosis of fuzzy systems by genetic algorithm and fuzzy inference. In: Proceedings of the Vietnam-Japan Bilateral Symposium on Fuzzy Systems and Applications, Halong Bay, Vietnam, pp. 468–473 (1998)
Pulido, M., Melin, P., Castillo, O.: Optimization of Ensemble Neural Networks With Type-2 Fuzzy Response Integration for Predicting the Mackey-Glass Time Series. NaBIC 2013, Fargo, USA, pp. 16–21 (2013)
Pulido, M., Melin, P., Castillo, O.: Optimization of Type-2 Fuzzy Integration in Ensemble Neural Networks for Predicting the US Dolar/MX Pesos Time Series. IFSA/NAFIPS 2013, Edmonton, Canada, pp. 1508–1512 (2013)
Sánchez, D., Melin, P.: Modular neural network with fuzzy integration and its optimization using genetic algorithms for human recognition based on iris, ear and voice biometrics. In: Soft Computing for Recognition Based on Biometrics Studies in Computational Intelligence, 1st edn, pp. 85–102. Springer, Berlin (2010)
Santos, J.M., Alexandre, L.A., Marques de Sá J.: Modular Neural Network Task Decomposition Via Entropic Clustering. ISDA 2006, Jinan, China, pp. 62–67 (2006)
Tong, H.: Threshold Models in Non-Linear Time Series Analysis. Springer, New York (1983)
Wagner, N., Michalewicz, Z., Schellenberg, S., Chiriac, C., Mohais, A.: Intelligent techniques for forecasting multiple time series in real-world systems. Int. J. Intell. Comput. Cybern. 4(3), 284–310 (2011)
Wang, W., Bridges, S.: Genetic Algorithm Optimization of Membership Functions for Mining Fuzzy Association Rules. Department of Computer Science Mississippi State University (2000)
Zadeh, L.A.: Fuzzy Sets. J. Inf. Control 8, 338–353 (1965)
Zadeh, L.A.: Some reflections on soft computing, granular computing and their roles in the conception, design and utilization of information/intelligent systems. Soft. Comput. 2, 23–25 (1998)
Zhang, G.P.: A neural network ensemble method with jittered training data for time series forecasting. Inf. Sci. 177, 5329–5346 (2007)
Zhang, G.P.: Time series forecasting using a hybrid ARIMA and neural network model. Neurocomputing 50, 159–175 (2003)
Zhang, Z., Zhang, C.: An Agent-Based Hybrid Intelligent System for Financial Investment Planning. PRICAI 2002, Tokyo, Japan, pp. 355–364 (2002)
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
Sánchez, D., Melin, P. (2015). Modular Neural Networks for Time Series Prediction Using Type-1 Fuzzy Logic Integration. 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_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-17747-2_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17746-5
Online ISBN: 978-3-319-17747-2
eBook Packages: EngineeringEngineering (R0)