Fuzzy Discrete Structures
The subject of the book could be described as fuzzy discrete structures. The book deals with fuzzy logic, fuzzy switching functions, fuzzy decision trees, fuzzy networks, fuzzy petri nets, fuzzy path problems, fuzzy automata, and fuzzy languages. The noti
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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.de/cgi-binlsearch_book.pl?series=2941
Vol. 3. A. Geyer-Schulz Fuzzy Rule-Based Expert Systems and Genetic Machine Learning, 2nd ed. 1996 ISBN 3-7908-0964-0
Vol. 14. E. Hisdal Logical Structures for Representation of Knowledge and Uncertainty. 1998 ISBN 3-7908- I 056-8
Vol. 4. T. Onisawa and J. Kaeprzyk (Eds.) Reliability and Safety Analyses under Fuzziness. 1995 ISBN 3-7908-0837-7
Vol. 15. G.J. Klir 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. 6. E. S. Lee and Q. Zhu Fuzzy and Evidence Reasoning. 1995 ISBN 3-7908-0880-6 Vol. 7. B.A. Juliano and W. Bandler Tracing Chains-of-Thought. 1996 ISBN 3-7908-0922-5 Vol. 8. F. Herrera and J. L. Verdegay (Eds.) Genetic Algorithms and Soft Computing. 1996 ISBN 3-7908-0956-X Vol. 9. M. Sato et al. Fuzzy Clustering Models and Applications. 1997 ISBN 3-7908-1026-6 Vol. 10. L. C. Jain (Ed.) Soft Computing Techniques in Knowledge-based Intelligenr Engineering Systems. 1997 ISBN 3-7908-1035-5 Vol. 11. W. Mielczarski (Ed.) Fuzzy Logic Techniques in Power Systems. 1998, ISBN 3-7908-10444 Vol. 12. B. Bouchon-Meunier (Ed.) Aggregation and Fusion of Impeifect Information, 1998 ISBN 3-7908-1048-7
Vol. 13. E. Orlowska (Ed.) Incomplete Information: Rough Set Analysis. 1998 ISBN 3-7908-1049-5
Vol. 16. D. Driankov and R. Palm (Eds.) Advances in Fuzzy Control, 1998 ISBN 3-7908-1090-8 Vol. 17. L. Reznik. V. Dirnitrov and J. Kacprzyk (Eds.) Fuzzy Systems Design. 1998 ISBN 3-7908-1118-1 Vol. 18. L. Polkowski and A. Skowron (Eds.) Rough Sets in Knowledge Discovery 1. 1998 ISBN 3-7908-1I19-X Vol. 19. L. Polkowski and A. Skowron (Eds.) Rough Sets in Knowledge Discovery 2. 1998 ISBN 3-7908-1120-3 Vol. 20. J.N. Mordeson and P.S. Nair Fuzzy Mathematics. 1998 ISBN 3-7908-1121-1 Vol. 21. L. C. Jain and T. Fukuda (Eds.) Soft Computing for Inrelligenr Robotic Systems.
1998 ISBN 3-7908-1147-5 Vol. 22. J. Cardoso and H. Camargo (Eds.) Fuzziness in Petri Nets. 1999 ISBN 3-7908-1158-0 Vol. 23. P. S. Szczepaniak (Ed.) Computational Intelligence and Applications, 1999 ISBN 3-7908-1161-0 Vol. 24. E. Orlowska (Ed.) Logic at Work, 1999 ISBN 3-7908-1164-5 Vol. 25. J. Buckley and Th. Feuring Fuzzy and Neural: 1nreractions and Applications. 1999 ISBN 3-7908-1l70-X
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Davender S. Malik John N. Mordeson
Fuzzy Discrete Structures With 37 Figures and 7 Tables
Springer-Verlag Berlin Heidelberg GmbH
Prof. Davender S. Malik Prof. John N. Mordeson Creighton University Omaha, Nebraska 68178 USA E-mail: [email protected] [email protected]
ISBN 978-3-7908-2477-3 ISBN 978-3-7908-1838-3 (eBook) DOI 10.1007/978-3-7908-1838-3 Cataloging-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme Malik, Davender S.:
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