Fuzzy and Neuro-Fuzzy Intelligent Systems

Intelligence systems. We perfonn routine tasks on a daily basis, as for example: • recognition of faces of persons (also faces not seen for many years), • identification of dangerous situations during car driving, • deciding to buy or sell stock, • readin

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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] http://www.springer.delcgi-binlsearch_book.pl?series = 2941

Vol. 3. A. Geyer-Schulz

Vol. 14. E. Hisdal

Fuzzy Rule-Based Expert Systems and Genetic Machine Learning, 2nd ed. 1996

Logical Structures for Representation of Knowledge and Uncertainty, 1998

ISBN 3-7908-0964-0

ISBN 3-7908-1056-8

Vol. 4. T. Onisawa and J. Kacprzyk (Eds.)

Vol. 15. G.J. K1ir and M.J. Wierman

Reliability and Safety Analyses under Fuzziness, 1995 ISBN 3-7908-0837-7 Vol. 5. P. Bosc and J. Kacprzyk (Eds.)

Fuzziness in Database Management Systems, 1995 ISBN 3-7908-0858-X Vol. 6. E. S. Lee and Q. Zhu

Fuzzy and Evidence Reasoning, 1995

Uncertainty-Based Infonnation, 2nd ed., 1999 ISBN 3-7908-1242-0 Vol. 16. D. Driankov and R. Palm (Eds.)

Advances in Fuzzy Control, 1998 ISBN 3-7908-1090-8 Vol. 17. L. Reznik, V. Dimitrov and J. Kacprzyk (Eds.)

Fuzzy Systems Design, 1998

ISBN 3-7908-0880-6

ISBN 3-7908-1118-1

Vol. 7. B.A. Juliano and W. Bandler

Vol. 18. L. Polkowski and A. Skowron (Eds.) Rough Sets in Knowledge Discovery 1, 1998,

Tracing Chains-of-Thaught, 1996 ISBN 3-7908-0922-5

ISBN 3-7908-1119-X

Vol. 8. F. Herrera and J. L. Verdegay (Eds.) Genetic Algorithms and Soft Computing, 1996

Vol. 19. L. Polkowski and A. Skowron (Eds.) Rough Sets in Knowledge Discovery 2, 1998,

ISBN 3-7908-0956-X

ISBN 3-7908-1l20-3

Vol. 9. M. Sato et aI.

Fuzzy Clustering Models and Applications, 1997, ISBN 3-7908-1026-6 Vol. 10. L. C. Jain (Ed.)

Soft Computing Techniques in Knowledgebased Intelligent Engineering Systems, 1997 ISBN 3-7908-1035-5 Vol. II. W. MieIczarski (Ed.)

Fuzzy Logic Techniques in Power Systems, 1998, ISBN 3-7908-1044-4 Vol. 12. B. Bouchon-Meunier (Ed.)

Aggregation and Fusion of Imperfect Infonnation, 1998 ISBN 3-7908-1048-7 Vol. 13. E. Orlowska (Ed.)

Vol. 20. J.N. Mordeson and P.S. Nair

Fuzzy Mathematics, 1998 ISBN 3-7908-1l21-1 Vol. 21. L.C. Jain and T. Fukuda (Eds.)

Soft Computing for Intelligent Robotic Systems, 1998 ISBN 3-7908-1l47-5 Vol. 22. J. Cardoso and H. Camargo (Eds.)

Fuzziness in Petri Nets, 1999 ISBN 3-7908-1l58-0 Vol. 23. P.S. Szczepaniak (Ed.)

Computational Intelligence and Applications, 1999 ISBN 3-7908-1161-0 Vol. 24. E. Orlowska (Ed.)

Incomplete In/onnation: Rough Set Analysis, 1998

Logic at Work, 1999

ISBN 3-7908-1049-5

ISBN 3-7908-1l64-5 continued on page 195

Ernest Czogalat . Jacek

L~ski

Fuzzy and Neuro-Fuzzy Intelligent Systems

With 66 Figures and 16 Tables

Physica-Verlag A Springer-Verlag Company

Professor Ernest Czogalat, Ph.D., D.Sc. Professor Jacek ~ski, Ph.D., D.Sc. Institute of Electronics Silesian University of Technology Akademicka 16 44-101 Gliwice Poland E-mail: [email protected]

ISSN 1434-9922

ISBN 978-3-662-00389-3

Cataloging-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Cwgala, Ernest: Fuzzy and neuro-fuzzy intelligent systems: wi