Hybrid intelligent systems for time series prediction using neural networks, fuzzy logic, and fractal theory

IEEE Transactions on Neural Networks

Volumn 13, Issue 6, 2002, Pages 1395-1408

  Castillo, Oscar ^a   Melin, Patricia ^a  

^a TIJUANA INSTITUTE OF TECHNOLOGY   (Mexico)

Author keywords

Fractal theory; Fuzzy logic; Neural networks; Time series prediction

Indexed keywords

ALGORITHMS; FRACTALS; FUZZY SETS; GEOMETRY; NEURAL NETWORKS; TIME SERIES ANALYSIS;

HYBRID INTELLIGENT SYSTEMS;

INTELLIGENT NETWORKS;

EID: 0036859376     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2002.804316     Document Type: Article

References (33)

1. J.C. Bezdek, Pattern Recognition With Fuzzy Objective Function Algorithms. New York: Plenum, 1981.
2. W.A. Brock, D.A. Hsieh, and B. LeBaron, Nonlinear Dynamics, Chaos and Instability. Cambridge, MA: MIT Press, 1991.
3. O. Castillo and P. Melin, "Developing a new method for the identification of microorganizms for the food industry using the fractal dimension," J. Fractals, vol. 2, no. 3, pp. 457-460, 1994.
4. _, "Automated mathematical modeling for financial time series prediction using fuzzy logic, dynamical system theory and fractal theory," in Proc. IEEE Int. Conf. CIFEr, New York, Mar. 1996, pp. 120-126.
5. _, "A new fuzzy-genetic approach for the simulation and forecasting of international trade nonlinear dynamics," in Proc. IEEE Int. Conf. CIFEr, New York, Mar. 1998, pp. 189-196.
6. _, "A new fuzzy-fractal-genetic method for automated mathematical modeling and simulation of robotic dynamic systems," in Proc. IEEE Int. Conf. Fuzzy Syst. FUZZ-IEEE'98, vol. 2, Anchorage, AK, May 1998, pp. 1182-1187.
7. _, "Automated mathematical modeling for financial time series prediction combining fuzzy logic and fractal theory," in Soft Computing for Financial Engineering, R. Ribeiro, H.J. Zimmermann, R. Yager, and J. Kacprzyk, Eds. Heidelberg, Germany: Springer-Verlag, 1999, pp. 93-106.
8. _, "A new fuzzy inference system for reasoning with multiple differential equations for modeling complex dynamical systems," in Proc. Int. Conf. CIMCA, Vienna, Austria, Feb. 1999, pp. 224-229.
9. S. Haykin, Adaptive Filter Theory. Englewood Cliffs, NJ: Prentice-Hall, 1996.
10. J.R. Jang, C.T. Sun, and E. Mizutani, Neuro-Fuzzy and Soft Computing. Englewood Cliffs, NJ: Prentice-Hall, 1997.
11. G.S. Maddala, Introduction to Econometrics. Englewood Cliffs, NJ: Prentice-Hall, 1996.
12. B. Mandelbrot, The Fractal Geometry of Nature. New York: Freeman, 1987.
13. _, Fractals and Scaling in Finance. Heidelberg, Germany: Springer-Verlag, 1997.
14. P. Melin and O. Castillo, "An adaptive model-based neuro-fuzzy-fractal controller for biochemical reactors in the food industry," in Proc. IEEE Int. Conf. Neural Networks, vol. 1, Anchorage, AK, May 1998, pp. 106-111.
15. _, "A new method for adaptive model-based control of nonlinear dynamic plants using a neuro-fuzzy-fractal approach," J. Soft Comput., vol. 5, no. 2, pp. 171-177, 2001.
16. _, Modeling, Simulation and Control of Non-Linear Dynamical Systems. London, U.K.: Taylor and Francis, 2002.
17. F.C. Moon, Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers. New York: Wiley-Interscience, 1992.
18. D.B. Parker, "Learning logic," Stanford University, Invention Rep. 581-64, 1982.
19. H.O. Peitgen, D. Saupe, H. Jurgens, and L. Yunker, Chaos and Fractals: New Frontiers of Science. Heidelberg, Germany: Springer-Verlag, 1992.
20. Y.B. Pesin, Dimension Theory in Dynamical Systems: Contemporary Views and Applications. Chicago, IL: Univ. Chicago Press, 1999.
21. E. Peters, Fractal Market Analysis: Applying Chaos Theory to Investment and Economics. New York: Wiley, 1994.
22. S.N. Rasband, Chaotic Dynamics of Non-Linear Systems. New York: Wiley-Interscience, 1990.
23. D.E. Rumelhart, G.E. Hinton, and R.J. Williams, "Learning internal representations by error propagation," in Parallel Distributed Processing: Explorations in the Microstructures of Cognition. Cambridge, MA: MIT Press, 1986, pp. 318-362.
24. S. Semmes, Some Novel Types of Fractal Geometry. Oxford, U.K.: Oxford Univ. Press, 2000.
25. C. Tricot, Curves and Fractal Dimension. Heidelberg, Germany: Springer-Verlag, 1995.
26. P. Werbos, "Beyond regression: New tools for prediction and analysis in the behavioral sciences," Ph.D. dissertation, Harvard Univ., 1974.
27. H. White, "An additional hidden unit test for neglected nonlinearity in multilayer feedforward networks," in Proc. IEEE Int. Conf. Neural Networks, Washington, DC, July 1989, pp. 451-455.
28. R. Yager and D. Filev, "Generation of fuzzy rules by mountain clustering," Intell. Fuzzy Syst., vol. 2, no. 3, pp. 209-219, 1994.
29. J. Yen and R. Langari, Fuzzy Logic: Intelligence, Control, and Information. Englewood Cliffs, NJ: Prentice-Hall, 1999.
30. L.A. Zadeh, "Fuzzy sets," Inform. Contr., vol. 8, pp. 338-353, 1965.
31. _, "Quantitative fuzzy semantics," Inform. Sci., vol. 3, pp. 159-176.
32. _, "Outline of a new approach to the analysis of complex systems and decision processes," IEEE Trans. Syst., Man, Cybern., vol. SMC-3, pp. 28-44, Jan. 1973.
33. _, "The concept of a linguistic variable and its application to approximate reasoning," Inform. Sci., vol. 8, pp. 43-80, 1975.