Summary
The paper presents the patchwork hierarchical domain partition in the neuro-fuzzy system with parameterized consequences. The hierarchical domain partition has the advantages of grid partition and clustering. It avoids the curse of dimensionality and reduces the occurrence of areas with low membership to all regions. The paper depicts the iterative hybrid procedure of hierarchical split. The splitting procedure estimates the best way of creating of the new region: (1) based on finding and splitting the region with the highest contribution to the error of the system or (2) creation of patch region for the highest error area. The paper presents the results of experiments on real life and synthetic datasets. This approach can produce neuro-fuzzy inference systems with better generalisation ability and subsequently lower error rate.
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References
Roberto, M., Almeida, A.: Sistema hĂbrido neuro-fuzzy-genĂ©tico para mineração automĂĄtica de dados. Masterâs thesis, PontifĂca Universidade CatĂłlica do Rio de Janeiro (2004)
Basak, J., Krishnapuram, R.: Interpretable hierarchical clustering by constructing an unsupervised decision tree. IEEE Transactions on Knowledge and Data Engineering 17(1), 121â132 (2005)
Edward, G., Box, P., Jenkins, G.: Time Series Analysis, Forecasting and Control. Holden-Day, Incorporated (1976)
Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J.: Classification and Regression Trees. Wadsworth, Belmont (1984)
Czekalski, P.: Evolution-fuzzy rule based system with parameterized consequences. International Journal of Applied Mathematics and Computer Science 16(3), 373â385 (2006)
CzogaĆa, E., ĆÈ©ski, J.: Fuzzy and Neuro-Fuzzy Intelligent Systems. Series in Fuzziness and Soft Computing. Physica-Verlag, A Springer-Verlag Company (2000)
Jang, J.-S.R.: ANFIS: Adaptive-Network-Based Fuzzy Inference System. IEEE Transactions on Systems, Man, and Cybernetics 23, 665â684 (1993)
ĆÈ©ski, J.: Systemy neuronowo-rozmyte. Wydawnictwa Naukowo-Techniczne, Warszawa (2008)
ĆÈ©ski, J., CzogaĆa, E.: A new artificial neural network based fuzzy inference system with moving consequents in if-then rules and selected applications. BUSEFALÂ 71, 72â81 (1997)
ĆÈ©ski, J., CzogaĆa, E.: A new artificial neural network based fuzzy inference system with moving consequents in if-then rules and selected applications. Fuzzy Sets and Systems 108(3), 289â297 (1999)
Mamdani, E.H., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller. International Journal of Man-Machine Studies 7(1), 1â13 (1975)
Murthy, S.K., Kasif, S., Salzberg, S.: A system for induction of oblique decision trees. Journal of Artificial Intelligence Research 2, 1â32 (1994)
Nelles, O., Isermann, R.: Basis function networks for interpolation of local linear models. In: Proceedings of the 35th IEEE Conference on Decision and Control, vol. 1, pp. 470â475 (1996)
Nelles, O., Fink, A., BabuĆĄka, R., Setnes, M.: Comparison of two construction algorithms for Takagi-Sugeno fuzzy models. International Journal of Applied Mathematics and Computer Science 10(4), 835â855 (2000)
Quinlan, J.R.: Induction of decision trees. Machine Learning 1, 81â106 (1986)
Quinlan, J.R.: Learning with continuous classes. In: Adams, Sterling (eds.) AI 1992, Singapore, pp. 343â348 (1992)
Quinlan, J.R.: Combining instance-based and model-based learning. In: Utgoff (ed.) ML 1993, San Mateo (1993)
Rastogi, R., Shim, K.: PUBLIC: A decision tree classifier that integrates building and pruning. Data Mining and Knowledge Discovery 4(4), 315â344 (2000)
Rutkowski, L., CpaĆka, K.: Flexible neuro-fuzzy systems. IEEE Transactions on Neural Networks 14(3), 554â574 (2003)
SimiĆski, K.: Neuro-fuzzy system with hierarchical partition of input domain. Studia Informatica 29(4A (80)) (2008)
SimiĆski, K.: Two ways of domain partition in fuzzy inference system with parametrized consequences: Clustering and hierarchical split. In: OWD 2008, X International PhD Workshop, pp. 103â108 (2008)
de Souza, F.J., Vellasco, M.B.R., Pacheco, M.A.C.: Load forecasting with the hierarchical neuro-fuzzy binary space partitioning model. Int. J. Comput. Syst. Signal 3(2), 118â132 (2002)
de Souza, F.J., Vellasco, M.M.R., Pacheco, M.A.C.: Hierarchical neuro-fuzzy quadtree models. Fuzzy Sets and Systems 130(2), 189â205 (2002)
Sugeno, M., Kang, G.T.: Structure identification of fuzzy model. Fuzzy Sets Syst. 28(1), 15â33 (1988)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its application to modeling and control. IEEE Trans. Systems, Man and Cybernetics 15(1), 116â132 (1985)
Wang, Y., Witten, I.H.: Inducing model trees for continuous classes. In: Proc. of Poster Papers, 9th European Conference on Machine Learning, Prague, Czech Republic (April 1997)
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SimiĆski, K. (2009). Patchwork Neuro-fuzzy System with Hierarchical Domain Partition. In: Kurzynski, M., Wozniak, M. (eds) Computer Recognition Systems 3. Advances in Intelligent and Soft Computing, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93905-4_2
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DOI: https://doi.org/10.1007/978-3-540-93905-4_2
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