Innovations in ART Neural Networks
In the last two decades the artificial neural networks have been refined and widely used by the researchers and application engineers. We have not witnessed such a large degree of evolution in any other artificial neural network as in the Adaptive Resonan
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Studies in Fuzziness and Soft Computing Editor-in-chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw, Poland E-mail: [email protected]
Vol. 3. A. Geyer-Schu1z Fuzzy Rule-Based Expert Systems and Genetic Machine Learning, 2nd ed. 1996 ISBN 3-7908-0964-0
Vol. 14. E. Hisda1 Logical Structures for Representation of Knowledge and Uncertainty, 1998 ISBN 3-7908-1056-8
Vol. 4. T. Onisawa and J. Kacprzyk (Eds.) Reliability and Safety Analyses under Fuzziness, 1995 ISBN 3-7908-0837-7
Vol. 15. G.J. K1ir and M.J. Wierman Uncertainty-Based Information, 2nd ed. 1999 ISBN 3-7908-1242-0
Vol. 5. P. Bose and J. Kacprzyk (Eds.) Fuzziness in Database Management Systems, 1995 ISBN 3-7908-0858-X
Vol. 16. D. Driankov and R. Palm (Eds.) Advances in Fuzzy Control, 1998 ISBN 3-7908-1090-8
Vol. 6. E. S. Lee and Q. Zhu Fuzzy and Evidence Reasoning, 1995 ISBN 3-7908-0880-6 Vol. 7. B.A. Juliano and W. Band1er Tracing Chains-of-Thought, 1996 ISBN 3-7908-0922-5
Vol. 17. L. Reznik, V. Dimitrov and J. Kacprzyk (Eds.) Fuzzy Systems Design, 1998 ISBN 3-7908-1118-1 Vol. 18. L. Po1kowski and A. Skowron (Eds.) Rough Sets in Knowledge Discovery 1, 1998 ISBN 3-7908-1119-X
Vol. 8. F. Herrera and J. L. Verdegay (Eds.) Genetic Algorithms and Soft Computing, 1996 ISBN 3-7908-0956-X
Vol. 19. L. Po1kowski and A. Skowron (Eds.) Rough Sets in Knowledge Discovery 2, 1998 ISBN 3-7908-1120-3
Vol. 9. M. Sato et al. Fuzzy Clustering Models and Applications, 1997, ISBN 3-7908-1026-6
Vol. 20. J. N. Mordeson and P. S. Nair Fuzzy Mathematics, 1998 ISBN 3-7908-1121-1
Vol. 10. L. C. Jain (Ed.) Soji Computing Techniques in Knowledge-based Intelligent Engineering Systems, 1997 ISBN 3-7908-1035-5
Vol. 21. L. C. Jain and T. Fukuda (Eds.) Soft Computing for Intelligent Robotic Systems, 1998 ISBN 3-7908-1147-5
Vol. I l. W. Mielczarski (Ed.) Fuzzy Logic Techniques in Power Systems, 1998 ISBN 3-7908-I044-4
Vol. 22. J. Cardoso and H. Camargo (Eds.) Fuzziness in Petri Nets, I 999 ISBN 3-7908-1158-0
Vol. 12. B. Bouchon-Meunier (Ed.) Aggregation and Fusion of Imperfect Information, I998 ISBN 3-7908-1048-7
Vol. 23. P. S. Szczepaniak (Ed.) Computational Intelligence and Applications, 1999 ISBN 3-7908-1161-0
Vol. 13. E. Orlowska (Ed.) Incomplete Information: Rough Set Analysis, 1998 ISBN 3-7908-1049-5
Vol. 24. E. Orlowska (Ed.) Logic at Work, I999 ISBN 3-7908-1164-5 continued on page 259
Lakhmi C. Jain Beatrice Lazzerini Ugur Halici (Eds.)
Innovations in ART Neural Networks With 69 Figures and 30 Tables
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Professor Lakhmi C. Jain Knowledge-Based Intelligent Engineering Systems Centre University of South Australia Adelaide, Mawson Lakes South Australia 5095 [email protected] Professor Beatrice Lazzerini Dipartimento di lngegneria della Informazione University of Pisa Via Diotisalvi, 2 56126 Pisa Italy [email protected] Professor Ugur Halici Department of Electrical Engineering Middle East Technical University 06531 Ankara Tu