Analysis of the noise reduction property of type-2 fuzzy logic systems using a novel type-2 membership function

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 41, Issue 5, 2011, Pages 1395-1406

  Khanesar, Mojtaba Ahmadieh ^a   Kayacan, Erdal ^b   Teshnehlab, Mohammad ^a   Kaynak, Okyay ^b  

^a K N TOOSI UNIVERSITY OF TECHNOLOGY   (Iran)

^b BOGAZICI UNIVERSITY   (Turkey)

Author keywords

Noise reduction property; type 2 fuzzy logic (FL) system (FLS) (T2FLS); type 2 fuzzy sets

Indexed keywords

FUZZY MEMBERSHIP FUNCTION; FUZZY NEURO; INPUT NOISE; INPUT-OUTPUT DATA; NOISE REDUCTIONS; PARAMETER-TUNING; RULE BASE; SIMULATION STUDIES; TYPE-2 FUZZY LOGIC; TYPE-2 FUZZY LOGIC SYSTEM; TYPE-2 FUZZY SET;

ACOUSTIC NOISE MEASUREMENT; FUZZY LOGIC; FUZZY SETS; LEARNING ALGORITHMS;

MEMBERSHIP FUNCTIONS;

EID: 80052891245     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2011.2148173     Document Type: Article

References (20)

1. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems. Los Angeles, CA: Prentice Hall, 2001.
2. Y. Lin and S. Liu, "A historical introduction to grey systems theory," in Proc. IEEE Int. Conf. Syst., Man Cybern., The Hague, The Netherlands, 2004, pp. 2403-2408. (Pubitemid 40408523)
3. E. Kayacan and O. Kaynak, "An adaptive grey PID type fuzzy controller design for a nonlinear liquid level system," Trans. Inst. Meas. Control, vol. 31, no. 1, pp. 33-49, Feb. 2009.
4. J. M. Mendel and R. I. B. John, "Type-2 fuzzy sets made simple," IEEE Trans. Fuzzy Syst., vol. 10, no. 2, pp. 117-127, Apr. 2002. (Pubitemid 34554858)
5. C.-F. Juang and C.-H. Hsu, "Reinforcement interval type-2 fuzzy controller design by online rule generation and Q-value-aided ant colony optimization," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 6, pp. 1528-1542, Dec. 2009.
6. R. Sepulveda, P. Melin, A. Rodriguez, A. Mancilla, and O. Montiel, "Analyzing the effects of the footprint of uncertainty in type-2 fuzzy logic controllers," Eng. Lett., vol. 13, no. 2, pp. 138-147, 2006.
7. J. M. Mendel, "Uncertainty, fuzzy logic, and signal processing," Signal Process., vol. 80, no. 6, pp. 913-933, Jun. 2000.
8. M.-Y. Hsiao, T.-H. S. Li, J. Z. Lee, C. H. Chao, and S. H. Tsai, "Design of interval type-2 fuzzy sliding-mode controller," Inf. Sci., Int. J., vol. 178, no. 6, pp. 1696-1716, Mar. 2008.
9. Q. Liang and J. M. Mendel, "Interval type-2 fuzzy logic systems: Theory and design," IEEE Trans. Fuzzy Syst., vol. 8, no. 5, pp. 535-550, Oct. 2000.
10. L. X. Wang and J. M. Mendel, "Back-propagation of fuzzy systems as nonlinear dynamic system identifiers," in Proc. IEEE Int. Conf. Fuzzy Syst., San Diego, CA, 1992, pp. 1409-1418.
11. S. Horikawa, T. Furahashi, and Y. Uchikawa, "On fuzzy modeling using fuzzy neural networks with back-propagation algorithm," IEEE Trans. Neural Netw., vol. 3, no. 5, pp. 801-806, Sep. 1992. (Pubitemid 23555772)
12. E. Kayacan, O. Kaynak, R. Abiyev, J. Trresen, M. Hovin, and K. Glette, "Design of an adaptive interval type-2 fuzzy logic controller for the position control of a servo system with an intelligent sensor," in Proc. IEEE World Congr. Comput. Intell., Barcelona, Spain, 2010, pp. 1125-1132.
13. M. A. Khanesar, M. Teshnehlab, E. Kayacan, and O. Kaynak, "A novel type-2 fuzzy membership function: Application to the prediction of noisy data," in Proc. IEEE Int. Conf. Comput. Intell. Meas. Syst. Appl., Taranto, Italy, 2010, pp. 128-133.
14. A. Celikyilmaz and I. B. Turksen, "Uncertainty modeling of improved fuzzy functions with evolutionary systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 1098-1110, Aug. 2008.
15. M. Begian, W. Melek, and J. Mendel, "Stability analysis of type-2 fuzzy systems," in Proc. FUZZ-IEEE IEEE World Congr. Comput. Intell., London, U.K., 2008, pp. 947-953.
16. R. Sepulveda, O. Castillo, P. Melin, O. Montiel, and L. Aguilar, "Evolutionary optimization of interval type-2 membership functions using the human evolutionary model," in Proc. FUZZ-IEEE, London, U.K., 2007, pp. 1-6.
17. M. Mackey and L. Glass, "Oscillation and chaos in physical control system," Science, vol. 197, no. 4300, pp. 287-289, 1977. (Pubitemid 8130447)
18. Database for the Identification of Systems, 2010. [Online]. Available: http://homes.esat.kuleuven.be/~smc/daisy/daisydata.html
19. F.-C. Chen and H. Khalil, "Adaptive control of nonlinear systems using neural networks," in Proc. 29th IEEE Conf. Decision Control, Dec. 5-7., 1990, vol. 3, pp. 1707-1712. (Pubitemid 21691224)
20. C.-C. Ku and K. Lee, "Diagonal recurrent neural networks for dynamic systems control," IEEE Trans. Neural Netw., vol. 6, no. 1, pp. 144-156, Jan. 1995.