Abstract
This chapter describes application of type-2 neural networks to real-word problems in decision making, forecasting, control, identification and other areas. The chapter also discuss on Computing with Words (CWW) paradigm and possible ways of its modeling with type-2 neural networks.
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References
Abdullayev KM, Aliyeva AS (2006) Applications of fuzzy logic to natural language modeling. 7th International Conference on Application of Fuzzy Systems and Soft Computing (ICAFS-2006). Siegen, Germany.
Abiyev R, Kaynak O, Kayacan E (2013) A type-2 fuzzy wavelet neural network for system identification and control. Journal of the Franklin Institute 350. 1658–1685.
Aliev RA, Aliev RR (2001) Soft computing and its application. World Scientific, New Jersey, London, Singapore, Hong Kong.
Aliev RA, Fazlollahi B, Aliev RR (2004) Soft computing and its applications in business and economics. Springer-Verlag Berlin Heidelberg.
Aliev RA, Pedrycz W, Guirimov B, Aliev RR, Ilhan U, Babagil M, Mammadli S (2011) Type-2 fuzzy neural networks with fuzzy clustering and differential evolution optimization. Information Sciences, Volume 181 Issue 9, 1591–1608.
Castillo O, Melin P (2004) Adaptive noise cancellation using type-2 fuzzy logic and neural networks. IEEE International Conf. on Fuzzy Systems, Vol. 2, 1093–1098, 2004.
Chen MY, Linkens DA (2004) Rule-base self-generation and simplification for data-driven fuzzy modelsş J. Fuzzy Sets and Systems 142, 243–265.
Kacprzyk J, Yager RR (2001) Linguistic summaries of data using fuzzy logic. Int. J. of General Systems, vol. 30, 33–154.
Kacprzyk J, Zadrozny S (2005a) Linguistic database summaries and their protoforms: toward natural language based knowledge discovery tools. Information Sciences, vol. 173, 281–304.
Kacprzyk J, Zadrozny S (2005b) Fuzzy linguistic data summaries as a human consistent, user adaptable solution to data mining. In: Gabrys B, Leiviska K, Strackeljan J (eds.) Do Smart Adaptive Systems Exist? 321–339, Springer, Berlin Heidelberg New York.
Kacprzyk J, Yager RR, Zadrozny S (2000) A fuzzy logic based approach to linguistic summaries of databases. Int’l. J. of Applied Mathematics and Computer Science, vol. 10, 813–834.
Kacprzyk J, Wilbik A, Zadrozny S (2006) Linguistic summaries of time series via a quantifier based aggregation using the Sugeno integral. In: Proc. FUZZ-IEEE 2006, 3610–3616, Vancouver, BC, Canada, July 2006.
Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic: Theory and applications. Prentice-Hall, Upper Saddle River, NJ.
Lawry J (2001) An alternative to computing with words. Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, vol. 9, Suppl., 3–16.
Lawry J, Shanahan J, Ralescu A (eds) (2003) Modeling with words. Lecture Notes in Artificial Intelligence, 2873, Springer, New York.
Lee CH, Hu TW (2008) Recurrent interval type-2 fuzzy neural network using asymmetric membership functions. In: Xiaolin Hu and P. Balasubramaniam (eds) Recurrent Neural Networks. 978-953-7619-08-4, InTech.
Lee CH, Lin YC (2005) An adaptive type-2 fuzzy neural controller for nonlinear uncertain systems. International Journal of Control and Intelligent, Vol. 12, No. 1, 41–50, 2005.
Lee CH, Pan HY (2007) Enhancing the performance of neural fuzzy systems using asymmetric membership functions. Revised in Fuzzy Sets and Systems, 2007.
Lee CH, Teng CC (2000) Identification and Control of Dynamic Systems Using Recurrent Fuzzy Neural Networks, IEEE Trans. on Fuzzy Systems, Vol. 8, No. 4, 349–366, 2000.
Liang AQ, Mendel JM (2000) Interval type-2 fuzzy logic systems: theory and design. IEEE Trans. on Fuzzy Systems, Vol. 8, No. 5, 535–550, 2000.
Marquez BY, Castanon-Puga M, Castro JR, and Suarez ED (2011) A distributed agency methodology applied to complex social system, a multi-dimensional approach. In Zhang, R., Cordeiro, J., Li, X., Zhang, Z., and Zhang, J., editors, Proceedings of the 13th International Conference on Enterprise Information Systems, Volume 1, Beijing, China, 8–11 June, 2011., pages 204–209. SciTe Press.
Mendel JM (2001) Uncertain rule-based fuzzy logic systems: Introduction and new directions. Prentice-Hall, Upper-Saddle River, NJ.
Mendel JM (2003) Type-2 fuzzy sets: some questions and answers. IEEE Connections, Newsletter of the IEEE Neural Networks Society, vol. 1, 10–13.
Mendel JM (2007) Computing with words: Zadeh, Turing, Popper and Occam. IEEE Computational Intelligence Magazine November 2007.
Mendel JM, Wu H (2007) Type-2 fuzzistics for non-symmetric interval type-2 fuzzy sets: Forward problems. IEEE Trans. on Fuzzy Systems, vol. 15.
Mendel JM, Wu D (2010) Perceptual computing, aiding people in making subjective judgments. IEEPress.
Pan HY, Lee CH, Chang F K, Chang SK (2007) Construction of asymmetric type-2 fuzzy membership functions and application in time series prediction. In: International Conf. on Machine Learning and Cybernetics, Vol. 4, 2024–2030, 2007.
Suarez ED. and Castanon-Puga M (2010) Distributed agency, a simulation language for describing social phenomena. In: IV Edition of Epistemological Perspectives on Simulation, Hamburg, Germany. The European Social Simulation Association.
Suarez ED, Castanon-Puga M, Flores DL, Rodriguez-Diaz A, Castro JR, Gaxiola-Pacheco C, Gonzalez-Fuentes M (2010b) A multi-layered agency analysis of voting models. In: The 3rd World Congress on Social Simulation WCSS2010, Kassel, Germany.
Wang P (2001) Computing with words. New York, John Wiley& Sons, 2001, 448 p.
Wang CH, Cheng CS, Lee TT (2004) Dynamical optimal training for interval type-2 fuzzy neural network (T2FNN). IEEE Trans. on Systems, Man, Cybernetics Part-B, Vol. 34, No. 3, 1462–1477, 2004.
Wu D, Mendel JM (2006) The linguistic weighted average. In: Proc. FUZZ-IEEE 2006, 3030–3037, Vancouver, CA, July 2006.
Yager RR (1982) A new approach to the summarization of data. Information Sciences, vol. 28, 69–86.
Yager RR (2004) On the retranslation process in Zadeh’s paradigm of the computing with words. IEEE Transactions on Systems, Man, and Cybernetics, vol. 34, No. 2, April 2004.
Zadeh LA (1965) Fuzzy Sets. Information and Control, vol. 8, 338–353.
Zadeh L (1975) The concept of a linguistic variable and its application to approximate reasoning–1. Information Sciences, vol. 8, 199–249.
Zadeh LA (1981) Test-score semantics for natural languages and meaning representation via PRUF. In: Rieger B (eds) Empirical Semantics. Germany: Brockmyer, 198–211.
Zadeh LA (1996) Fuzzy logic = computing with words. IEEE Trans. on Fuzzy Systems, vol. 4, 103–111.
Zadeh LA (2000) From computing with numbers to computing with words – from manipulation of measurements to manipulation of perceptions. In: Hampel R, Wagenknecht M, Cahker N (eds) Fuzzy Control Theory and Practice. Physica-Verlag. A Springer-Verlag Company, 3–38.
Zadeh, LA (2001) From computing with numbers to computing with words-from manipulation of measurements to manipulation of perception. In: Wang P (ed) Computing with Words. John Wiley & Sons. Inc., 35–67.
Zadeh LA (2002) Toward a perception-based theory of probabilistic reasoning with imprecise probabilities J. Statist. Plann. Infer., vol. 105, 233–264.
Zhang CJ, Shao C, Chai TY (1998) Indirect adaptive control for a class of linear time-varying plants, IEE Proceedings — Control Theory and Applications 145 (2) 141–149.
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Aliev, R.A., Guirimov, B.G. (2014). Application of Type-2 Fuzzy Neural Networks. In: Type-2 Fuzzy Neural Networks and Their Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-09072-6_5
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DOI: https://doi.org/10.1007/978-3-319-09072-6_5
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