A probabilistic fuzzy logic system: Learning in the stochastic environment with incomplete dynamics

Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

Volumn , Issue , 2009, Pages 383-388

  Li, Han Xiong ^a   Liu, Zhi ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX PROCESSES; FUZZY LOGIC CONTROLLERS; FUZZY LOGIC SYSTEM; FUZZY STRUCTURES; FUZZY-PID; INDUSTRIAL PROCESSS; LEARNING PERFORMANCE; LEARNING THEORY; MANUFACTURING INDUSTRIES; MODELING AND CONTROL; PROBABILISTIC FUZZY LOGIC SYSTEMS; STOCHASTIC CONTROL; STOCHASTIC ENVIRONMENT; STOCHASTIC NATURE; STOCHASTIC PROCESS; UNCERTAIN INFORMATIONS;

CYBERNETICS; FUZZY CONTROL; FUZZY INFERENCE; FUZZY SYSTEMS; KNOWLEDGE BASED SYSTEMS; MEMBERSHIP FUNCTIONS; PROBABILISTIC LOGICS; RANDOM PROCESSES; STOCHASTIC SYSTEMS; THREE DIMENSIONAL;

PROCESS CONTROL;

EID: 74849131077     PISSN: 1062922X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICSMC.2009.5346199     Document Type: Conference Paper

References (33)

1. Michalewicz, Z.; Schmidt, M.; Michalewicz, M.; Chiriac, C.; "Case study: an intelligent decision support system", IEEE Intelligent Systems, 20:44-49, 2005
2. Ying, Hao, Feng Lin, Rodger D. MacArthur, Jonathan A. Cohn, Daniel C. Barth-Jones, Hong Ye, and Lawrence R. Crane, "A Fuzzy Discrete Event System Approach to Determining Optimal HIV/AIDS Treatment Regimens," IEEE Trans. on Information Technology in Biomedicine, 10:663-676, 2006.
3. Raja Amirthalingam, Su Whan Sung, Jay H. Lee, "Two-step procedure for data-based modeling for inferential control applications", AIChE Journal, 46:1974-1988, 2004.
4. Pearson, R.K.; "Outliers in process modeling and identification", IEEE Trans. on Control Systems Technology, 10:55-63, 2002.
5. M.S. Grewal, A. P. Andrews. Kalman filtering : theory and practice Englewood Cliffs, N.J. : Prentice Hall, 1993.
6. Kazuo Tanaka and Hua.O Wang, Fuzzy control systems design and analysis, Wiley, 2001.
7. M.Brown, C.J. Harris, Neurofuzzy Adapttive Modeling and Control. Upper Saddle River, NJ: Prenice-Hall, 1994
8. Sun-Yuan Kung; Taur, J.; Shang-Hung Lin; Synergistic modeling and applications of hierarchical fuzzy neural networks" Proceedings of the IEEE, vol. 87 , no. 9 , pp: 1550-1574, 1999
9. Jang, J.-S.R.; Chuen-Tsai Sun; "Neuro-fuzzy modeling and control", Proceedings of the IEEE, 83:378-406, 1995.
10. Mitter, S.K.;Filtering and stochastic control: a historical perspective, IEEE Control Systems Magazine, Volume 16, No.3, pp:67-76, 1996
11. Dorato, P.;A historical review of robust control, IEEE Control Systems Magazine, Volume 7,No 2, pp:44-47, 1987.
12. N. N. Karnik, J. M. Mendel and Q. Liang, "Type-2 fuzzy logic systems," IEEE Trans. on Fuzzy Systems, vol. 7, no.6, pp: 643-658, 1999.
13. C. H Wang, C. S Cheng, T. T Lee, "Dynamical Optimal Training for Interval Type-2 Fuzzy Neural Network (T2FNN)", IEEE Trans. on Syst. Man. Cybern Part B: vol. 34, no. 3, pp: 1462-1477, 2004.
14. Li, Q.; Leahy, R. M.; "Statistical Modeling and Reconstruction of Randoms Precorrected PET Data", IEEE Trans. on Medical Imaging, 25:1565-1572, 2006.
15. B. Lee; L. Guo; Fuzzy Systems, "Optimal tracking design for stochastic fuzzy systems", IEEE Trans on Fuzzy Systems, vol. 11, no. 6, pp:796-813, 2003
16. Z. Wang; Ho, D.W.C.; X. Liu, "A note on the robust stability of uncertain stochastic fuzzy systems with time-delays" IEEE Trans. on Syst. Man. Cybern, Part A, vol. 34, no. 4, pp: 570-576, 2004
17. M. L. Puri and D. A. Ralescu, "Fuzzy random variables," J. Math. Anal. Appl., vol. 114, pp. 409-422, 1986.
18. de Cooman, G.; Aeyels, D, "A random set description of a possibility measure and its natural extension", IEEE Trans. on Syst. Man. Cybern, Part A, vol. 30, no. 2, pp: 124-130, 2000.
19. Romer, C.; Kandel, A. "Constraints on belief functions imposed by fuzzy random variables", IEEE Trans. on Syst. Man. Cybern, vol. 25, no. 1, pp: 86-99, 1995.
20. Kratschmer, V. "Constraints on belief functions imposed by fuzzy random variables: Some technical remarks on Romer-Kandel", IEEE Trans on Syst. Man. Cybern, Part B, vol. 28, no. 6, pp: 881-883, 1998
21. Colubi, A, Fernandez-Garcia, C, Gil, M.A. "Simulation of random fuzzy variables: an empirical approach to statistical/probabilistic studies with fuzzy experimental data", IEEE Trans. on Fuzzy Systems, vol. 10, no. 3, pp: 384-390, 2003.
22. Z. Liu & H.X. Li, "A probabilistic fuzzy logic system for modeling and control", IEEE Trans Fuzzy Systems, Volume 13, No 6, pp:848-859, 2005.
23. H.X. Li & Zhi Liu; "A Probabilistic Neural-Fuzzy Learning System for Stochastic Modeling", IEEE Trans. on Fuzzy Systems, Volume 16, No 4, pp:898-908, 2008
24. Emanuel Parzen, "On Estimation of a Probability Density Function and Mode", The Annals of Mathematical Statistics, vol.33, pp.1066-1076, 1962.
25. Sayan Mukherjee & Vladimir Vapnik, "Support vector method for multivariate density estimation", Technical Report, A.I. Memo No. 1653, MIT AI Lab, 1999
26. J. Weston, A. Gammerman, M. Stitson, V. Vapnik, V. Vovk and C. Watkins. "Density Estimation using Support Vector Machines", Technical report CSD-TR-97-23, Royal Holloway University of London, UK(1997)
27. Ching-Chang Wong; Chia-Chong Chen; A hybrid clustering and gradient descent approach for fuzzy modeling. IEEE Trans. on Systems, Man, and Cybernetics, Part B, Volume 29, no. 6, pp:686-693, 1999.
28. Celikyilmaz, A.; Burhan Turksen, I.; Enhanced Fuzzy System Models With Improved Fuzzy Clustering Algorithm , IEEE Trans. on Fuzzy Systems, Volume 16, no. 3, pp:779-794, 2008.
29. Yager, R.R.; Cumulative distribution functions from Dempster-Shafer belief structures , IEEE Tran. on Systems, Man, and Cybernetics, Part B, Vol 34, no. 5, pp:2080-2087,2004
30. R. Sutton and A. G. Barto, Reinforcement Learning: An Introduction, MIT Press, Cambridge, MA, 1998.
31. L. P. Kaelbling, M. L. Littman and A. W. Moore, "Reinforcement learning: a survey," Journal of Artificial Intelligence Research, Vol. 4, pp. 237-287, 1996.
32. N. H. C. Yung and C. Ye, "An intelligent mobile vehicle navigator based on fuzzy logic and reinforcement learning," IEEE Trans. on Systems Man and Cybernetics, Part B-Cybernetics, Vol. 29, pp. 314-321, 1999.
33. Mann G.K.I., B-G, Hu & R.G. Gosine, (1999), "Analysis of direct action fuzzy-PID controller structures", IEEE Trans. on Systems, Man and Cybernetics, 29B(3), 371-388