Abstract
This paper describes a proposed method for type-2 fuzzy integration that can be used in the fusion of responses for an ensemble neural network. We consider the case of the design of a type-2 fuzzy integrator for fusion of a neural network ensemble. The network structure of the ensemble may have a maximum of 5 modules. This integrator consists of 32 fuzzy rules, with 5 inputs depending on the number of modules of the neural network ensemble and one output. Each input and output linguistic variable of the fuzzy system uses Gaussian membership functions. The performance of type-2 fuzzy integrators is analyzed under different levels of uncertainty to find out the best design of the membership functions. In this case the proposed method is applied to time series prediction.
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
Brockwell, P.D., Richard, A.D.: Introduction to Time Series and Forecasting, pp. 1–219. Springer, New York (2002)
Castillo, O., Melin, P.: Type-2 Fuzzy Logic: Theory and Applications. Neural Networks, 30–43 (2008)
Castillo, O., Melin, P.: Hybrid intelligent systems for time series prediction using neural networks, fuzzy logic, and fractal theory. IEEE Transactions on Neural Networks 13(6), 1395–1408 (2002)
Castillo, O., Melin, P.: Simulation and Forecasting Complex Economic Time Series Using Neural Networks and Fuzzy Logic. In: Proceedings of the International Neural Networks Conference, vol. 3, pp. 1805–1810 (2001)
Castillo, O., Melin, P.: Simulation and Forecasting Complex Financial Time Series Using Neural Networks and Fuzzy Logic. In: Proceedings the IEEE the International Conference on Systems, Man and Cybernetics, vol. 4, pp. 2664–2669 (2001)
Dow Jones Company (10 de Enero de, 2010), http://www.dowjones.com
Dow Jones Indexes (September 5, 2010), http://www.djindexes.com
Golberg, D.: Genetic Algorithms in search, optimization and machine learning. Addison Wesley (1989)
Jang, J.S.R., Sun, C.T., Mizutani, E.: Neuro-Fuzzy and Sof Computing. Prentice Hall (1996)
Karnik, N., Mendel, M.: Applications of type-2 fuzzy logic systems to forecasting of time-series. Information Sciences 120(1-4), 89–111 (1999)
Krogh, A., Vedelsby, J.: Neural network ensembles, cross validation, and active learning. In: Tesauro, G., Touretzky, D., Leen, T. (eds.) Advances in Neural Information Processing Systems 7, Denver, CO, pp. 231–238. MIT Press, Cambridge (1995) 1001
Holland, J.: Adaptation in natural and artificial systems. University of Michigan Press (1975)
Maguire, L.P., Roche, B., McGinnity, T.M., McDaid, L.J.: Predicting a chaotic time series using a fuzzy neural network 12(1-4), 125–136 (1998)
Melin, P., Castillo, O., Gonzalez, S., Cota, J., Trujillo, W., Osuna, P.: Design of Modular Neural Networks with Fuzzy Integration Applied to Time Series Prediction, vol. 41, pp. 265–273. Springer, Heidelberg (2007)
Multaba, I.M., Hussain, M.A.: Application of Neural Networks and Other Learning. Technologies in Process Engineering. Imperial College Press (2001)
Plummer, E.A.: Time series forecasting with feed-forward neural Networks: uidelines and limitations. University of Wyoming (July 2000)
Pulido, M., Mancilla, A., Melin, P.: An Ensemble Neural Network Architecture with Fuzzy Response Integration for Complex Time Series Prediction. In: Castillo, O., Pedrycz, W., Kacprzyk, J. (eds.) Evolutionary Design of Intelligent Systems in Modeling, Simulation and Control. SCI, vol. 257, pp. 85–110. Springer, Heidelberg (2009)
Sharkey, A.: One combining Artificial of Neural Nets. Department of Computer Science University of Sheffield, U.K (1996)
Sharkey, A.: A Combining artificial neural nets: ensemble and modular multinet systems. Springer, London (1999)
Shimshoni, Y.N.: Intrator Classification of seismic signal by integrating ensemble of neural networks. IEEE Transactions Signal Processing 461(5), 1194–1201 (1998)
Sollich, P., Krogh, A.: Learning with ensembles: how over-fitting can be useful. In: Touretzky, D.S., Mozer, M.C., Hasselmo, M.E. (eds.) Advances in Neural Information Processing Systems 8, Denver, CO, pp. 190–196. MIT Press, Cambridge (1996)
Yadav, R.N., Kalra, P.K., John, J.: Time series prediction with single multiplicative neuron model. Soft Computing for Time Series Prediction, Applied Soft Computing 7(4), 1157–1163 (2007)
Yao, X., Liu, Y.: Making use of population information in evolutionary artificial neural networks. IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics 28(3), 417–425 (1998)
Zhao, L., Yang, Y.: PSO-based single multiplicative neuron model for time series prediction. Expert Systems with Applications 36(2), Part 2, 2805–2812 (March 2009)
Zhou, Z.-H., Jiang, Y., Yang, Y.-B., Chen, S.-F.: Lung cancer cell identification based on artificial neural network ensembles. Artificial Intelligence in Medicine 24(1), 25–36 (2002)
Reeves, R.C., Row, E.J.: Genetic Algorithms: Principles and Perspectives, A Guide to GA Theory, pp. 2–17. Kluwer Academic Publishers, New York (2003)
Yadav, R.N., Kalra, P.K., John, J.: Time series prediction with single multiplicative neuron model. Soft Computing for Time Series Prediction, Applied Soft Computing 7(4), 1157–1163 (2007)
Zhao, L., Yang, Y.: PSO-based single multiplicative neuron model for time series prediction. Expert Systems with Applications 36(2), Part 2, 2805–2812 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Pulido, M., Melin, P. (2013). A New Method for Type-2 Fuzzy Integration in Ensemble Neural Networks Based on Genetic Algorithms. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Recent Advances on Hybrid Intelligent Systems. Studies in Computational Intelligence, vol 451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33021-6_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-33021-6_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33020-9
Online ISBN: 978-3-642-33021-6
eBook Packages: EngineeringEngineering (R0)