Abstract
In this paper we presented a general solution to compose rough-neuro-fuzzy architectures. Monotonic properties of fuzzy implications were assumed to derive fuzzy systems in the case of missing features. The fuzzy implications satisfying Fodor’s lemma used in logical approach and t-norms used in Mamdani approach are discussed.
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Czogała, E., Łȩski, J.: Fuzzy and Neuro-Fuzzy Intelligent Systems. Physica-Verlag, A Springer-Verlag Company, Heidelberg, New York (2000)
Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. Internat. J. General Systems 17(2-3), 191–209 (1990)
Fodor, J.C.: On fuzzy implication. Fuzzy Sets and Systems 42, 293–300 (1991)
Lee, K.M., Kwang, D.H.: A fuzzy neural network model for fuzzy inference and rule tuning. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 2(3), 265–277 (1994)
Lin, C.T., Lee, G.C.S.: Neural-network-based fuzzy logic control and decision system. IEEE Transactions on Computers 40(12), 1320–1336 (1991)
Nauck, D., Klawonn, F., Kruse, R.: Foundations of Neuro-Fuzzy Systems. Wiley, Chichester (1997)
Nowicki, R., Rutkowska, D.: Competitice learning of neuro-fuzzy systems. In: Proc. 9th Zittau Fuzzy Colloquium 2001, Zittau, Germany, September 17-19, pp. 207–213 (2001)
Nowicki, R., Rutkowski, L.: Rough-Neuro-Fuzzy System for Classification. In: Proc. of Fuzzy Systems and Knowledge Discovery, Singapure, p. 149 (2002)
Nowicki, R.: A neuro-fuzzy structure for pattern classification. In: Proceedings of the symposium on methods of artificial intelligence AI METH 2003, Gliwice, CD-ROM (2003)
Pawlak, Z.: Rough sets. International Journal of Information and Computer Science 11(341) (1982)
Pawlak, Z.: Systemy informacyjne. Podstawy toeretyczne, WNT, Warszawa (1983)
Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning About Data. Kluwer, Dordrecht (1991)
Pawlak, Z.: Rough sets, decision algorithms and Bayes’ theorem. European Journal of Operational Research 136, 181–189 (2002)
Rutkowska, D., Nowicki, R.: New neuro-fuzzy architectures. In: Proc. Int. Conf. on Artificial and Computational Intelligence for Decision, Control and Automation in Engineering and Industrial Applications, ACIDCA 2000, Intelligent Methods, Monastir, Tunisia, March 2000, pp. 82–87 (2000)
Rutkowska, D., Nowicki, R.: Implication - based neuro-fuzzy architectures. International Journal of Applied Mathematics and Computer Science (4), 675–701 (2000)
Rutkowski, L., Cpałka, K.: Flexible Neuro-Fuzzy Systems. IEEE Trans. Neural Networks (May 2003)
Wang, L.X.: Adaptive Fuzzy Systems and Control. PTR Prentice Hall, Englewood Cliffs (1994)
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Nowicki, R. (2004). Rough Sets in the Neuro-Fuzzy Architectures Based on Monotonic Fuzzy Implications. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds) Artificial Intelligence and Soft Computing - ICAISC 2004. ICAISC 2004. Lecture Notes in Computer Science(), vol 3070. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24844-6_76
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DOI: https://doi.org/10.1007/978-3-540-24844-6_76
Publisher Name: Springer, Berlin, Heidelberg
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