Abstract
In this paper we discuss a new method for uncertainty representations in neuro-fuzzy systems. Expert uncertainty concerning antecedent fuzzy linguistic values are expressed in the form of linguistic values e.g. roughly, more or less. That idea is incorporated into relational neuro-fuzzy systems. In the paper both type-1 and type-2 fuzzy systems are considered. Numerical simulations of the new fuzzy model are presented.
Chapter PDF
Similar content being viewed by others
References
Babuska, R.: Fuzzy Modeling For Control. Kluwer Academic Publishers, Boston (1998)
CpaBlka, K., Rutkowski, L.: Soft Neuro - Fuzzy Systems. In: Proceedings of the Fifth Int’l Conf. Neural Networks and Soft Computing, Zakopane, pp. 296–301 (2000)
GaBlkowski, T., Rutkowski, L.: Nonparametric fitting of multivariable functions. IEEE Transactions on Automatic Control AC-31, 785–787 (1986)
Gaweda, A.E., Zurada, J.M.: Data-driven Linguistic Modeling Using Relational Fuzzy Rules. IEEE Trans. on Fuzzy Systems 11(1), 121–134 (2003)
Gaweda, A.E., Zurada, J.M., Aronhime, P.B.: Efficient Data-Driven Modeling With Fuzzy Relational Rule Network. In: Proceedings of the 11th IEEE International Conference of Fuzzy Systems FUZZ-IEEE 2002, Honolulu, HI, May 12-17 (2002)
Gaweda, A.E., Zurada, J.M., Setiono, R.: Input Selection in Data-Driven Fuzzy Modeling. In: Proceedings of the 10th IEEE International Conference of Fuzzy Systems FUZZ-IEEE 2001, Melbourne Australia, December 2-5 (2001)
Karnik, N.N., Mendel, J.M.: An Introduction to Type-2 Fuzzy Logic Systems, Univ. Southern California Rep. (October 1998)
Karnik, N.N., Mendel, J.M.: Operations on type-2 fuzzy sets. Fuzzy Sets and Systems 122, 327–348 (2000)
Karnik, N.N., Mendel, J.M., Liang, Q.: Type-2 Fuzzy Logic Systems. IEEE Trans. on Fuzzy Systems 7(6), 643–658 (1999)
Mendel, J.M.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice Hall PTR, Upper Saddle River (2001)
Nowicki, R., Rutkowski, L.: Soft techniques for bayesian classification. In: Rutkowski, L., Kacprzyk, J. (eds.) Neural Networks and Soft Computing, pp. 537–544. Physica-Verlag, A Springer-Verlag Company, Heidelberg, New York (2003)
Pedrycz, W.: Fuzzy Control and Fuzzy Systems. Research Studies Press, London (1989)
Ripley, B.D.: Pattern Recognition and Neural Networks. Cambridge University Press, Cambridge (1996)
Rutkowski, L., CpaBlka, K.: A general approach to neuro - fuzzy systems. In: Proceedings of the 10th IEEE Int’l Conf. on Fuzzy Systems, Melbourne (2001)
Rutkowski, L., CpaBlka, K.: A neuro-fuzzy controller with a compromise fuzzy reasoning. Control and Cybernetics 31(2), 297–308 (2002)
Rutkowski, L.: Multiple Fourier series procedures for extraction of nonlinear regressions from noisy data. IEEE Transactions on Signal Processing 41(10), 3062–3065 (1993)
Rutkowski, L., RafajBlowicz, E.: On global rate of convergence of some nonparametric identification procedures. IEEE Transaction on Automatic Control AC-34(10), 1089–1091 (1989)
Rutkowski, L.: Flexible Neuro-Fuzzy Systems: Structures, Learning and Performance Evaluation. Kluwer Academic Publishers, Dordrecht (2004)
Rutkowski, L., CpaBlka, K.: Compromise approach to neuro-fuzzy systems. In: Proceedings of the 2nd Euro-Int’l Symposium on Computational Intelligence, Koszyce, vol. 76, pp. 85–90 (2002)
Rutkowski, L., CpaBlka, K.: Flexible neuro-fuzzy systems. IEEE Transactions on Neural Networks 14, 554–574 (2003)
Rutkowski, L., CpaBlka, K.: Flexible weighted neuro-fuzzy systems. In: 9th Int’l Conf. on Neural Information Processing (ICONIP 2002), Singapore (2002)
Rutkowska, D., Rutkowski, L.: Fuzzy Neural Networks. In: Proceedings of the Second Int’l Conference on Parallel Processing and Applied Mathematics, pp. 507–519 (1997)
Rutkowska, D., Rutkowski, L., Nowicki, R.: Fuzzy neural networks with nonparametric defuzzification. In: Proceedings of the 9-th Int’l Conference System-Modelling-Control, Zakopane (1989)
Rutkowska, D., Nowicki, R., Rutkowski, L.: Singleton and Non-Singleton Fuzzy Systems with Nonparametric Defuzzification. In: Szczepaniak, P.S. (ed.) Computational Intelligence and Applications, pp. 292–301. Springer, Heidelberg (1999)
Rutkowska, D., Rutkowski, L.: Neural-Fuzzy-Genetic Parallel Computing System as a Tool for Various Applications. In: Proceedings of the Third Int’l Conf. on Parallel Processing & Applied Mathematics (PPAM 1999), pp. 489–498 (1999)
Rutkowska, D., Nowicki, R., Rutkowski, L.: Neuro-Fuzzy System with Inference Process Based on Zadeh Implication. In: Proceedings of the Third International Conference on Parallel Processing & Applied Mathematics (PPAM 1999), pp. 597–602 (1999)
Rutkowska, D., Rutkowski, L., Nowicki, R.: On processing of noisy data by fuzzy inference neural networks. In: Proceedings of the IASTED Int’l Conf. Signal and Image Processing (SIP 1999), Nassau, Bahamas, pp. 314–318 (1999)
Rutkowski, L.: New Soft Computing Techniques for System Modelling. Pattern Classification and Image Processing. Springer, Heidelberg (2004)
Rutkowski, L., CpaBlka, K.: Flexible Structures of Neuro - Fuzzy Systems. In: Quo Vadis Computational Intelligence, Studies in Fuzziness and Soft Computing, vol. 54, pp. 479–484. Springer, Heidelberg (2000)
Scherer, R., Rutkowski, L.: A Fuzzy Relational System with Linguistic Antecedent Certainty Factors. In: Advances in Soft Computing. Proceedings of the Sixth Int’l Conf. on Neural Network and Soft Computing, pp. 563–569. Springer, Heidelberg (2003)
Scherer, R., Rutkowski, L.: Relational Equations Initializing Neuro-Fuzzy System. In: 10th Zittau Fuzzy Colloquium, Zittau, Germany (2002)
Scherer, R., Rutkowski, L.: Neuro-Fuzzy Relational Systems. In: 2002 Int’l Conf. on Fuzzy Systems and Knowledge Discovery, Singapore (2002)
Setness, M., Babuska, R.: Fuzzy Relational Classifier Trained by Fuzzy Clustering. IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics 29(5), 619–625 (1999)
Sugeno, M., Yasukawa, T.: A Fuzzy-Logic-Based Approach to Qualitative Modeling. IEEE Transactions on Fuzzy Systems 1(1), 7–31 (1993)
Rutkowska, D., Rutkowski, L., Nowicki, R.: Neuro - fuzzy systems with inference based on bounded product. In: Advances in Neural Networks and Applications, pp. 104–109. Word Scientific and Engineering Society Press (2001)
Starczewski, J., Rutkowski, L.: Connectionist Structures of type 2 Fuzzy Inference Systems. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds.) PPAM 2001. LNCS, vol. 2328, pp. 617–624. Springer, Heidelberg (2002)
Starczewski, J., Rutkowski, L.: Neuro-Fuzzy Systems of Type 2. In: 1st Int’l Conf. on Fuzzy Systems and Knowledge Discovery, Singapore, November 2002, vol. 2, pp. 458–462 (2002)
Starczewski, J., Rutkowski, L.: Interval Type 2 Neuro-Fuzzy Systems Based on Interval Consequents. In: Rutkowski, L., Kacprzyk, J. (eds.) Neural Networks and Soft Computing, 6th Int’l Conf. on Neural Networks & Soft Computing, Zakopane, June 2002. Advances in Computing, pp. 570–577. Springer, Heidelberg (2003)
Zadeh, L.A.: The Concept of a Linguistic Variable and its Application to Approximate Reasoning — I. Information Sciences 8, 199–249 (1975)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Scherer, R., Starczewski, J., Gawęda, A. (2004). New Methods for Uncertainty Representations in Neuro-Fuzzy Systems. In: Wyrzykowski, R., Dongarra, J., Paprzycki, M., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2003. Lecture Notes in Computer Science, vol 3019. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24669-5_86
Download citation
DOI: https://doi.org/10.1007/978-3-540-24669-5_86
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21946-0
Online ISBN: 978-3-540-24669-5
eBook Packages: Springer Book Archive