A fuzzy additive reasoning scheme for probabilistic Mamdani fuzzy systems

IEEE International Conference on Fuzzy Systems

Volumn 1, Issue , 2003, Pages 331-336

  Kaymak, Uzay ^a   Van den Bergh, Willem Max ^a   Van den Berg, Jan ^a  

^a ERASMUS UNIVERSITY ROTTERDAM   (Netherlands)

Author keywords

Defuzzification; Fuzzy modelling; Fuzzy reasoning; Fuzzy regression; GARCH time series; Probabilistic fuzzy system

Indexed keywords

INTERPOLATION; PROBABILITY; REGRESSION ANALYSIS; VECTORS;

DEFUZZIFICATION;

FUZZY SETS;

EID: 0037523544     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (10)

1. E. H. Mamdani, "Application of fuzzy logic to approximate reasoning using linguistic systems," IEEE Transactions on Computers, vol. 26, no. 12, pp. 1182-1191, 1977.
2. Tomohiro Takagi and Michio Sugeno, "Fuzzy identification of systems and its applications to modelling and control," IEEE Transactions on Systems, Man and Cybernetics, vol. 15, no. 1, pp. 116-132, Jan./Feb. 1985.
3. M. Setnes, H.R. van Nauta Lemke, and U. Kaymak, "Fuzzy arithmetic-based interpolative reasoning for nonlinear dynamic fuzzy systems," Engineering Applications of Artificial Intelligence, vol. 11, pp. 781-789, 1998.
4. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: theory and applications, Prentice Hall, Upper Saddle River, 1995.
5. Jan van den Berg, Willem Max van den Bergh, and Uzay Kaymak, "Probabilistic and statistical fuzzy set foundations of competitive exception learning," in Proceedings of the Tenth IEEE International Conference on Fuzzy Systems, Melbourne, Australia, Dec. 2001, vol. 2, pp. 1035-1038.
6. L. A. Zadeh, "Probability measures and fuzzy events," in Fuzzy Sets and Applications, Selected Papers by L.A. Zadeth, R.R. Yager, S. Ovchinnikov, R.M Tong, and H.T. Nguyen, Eds., pp. 45-51. John Wiley and Sons, USA, 1987.
7. Willem Max van den Bergh, Uzay Kaymak, and Jan van den Berg, "On the data-driven design of tagaki-sugeno probabilistic fuzzy systems," in Proceedings of the EUNITE Conference 2002, Portugal, September 2002.
8. V. Kecman, Learning and Soft Computing, MIT Press, Cambridge, MA, 2001.
9. T. Björk, Arbitrage Theory in Continous Time, Oxford University Press, 1998.
10. J. C. Hull, Options, Futures, & Other Derivatives, Prentice Hall, Upper Saddle River, 4-th edition, 2000.