Computing with Words in Information/Intelligent Systems 1 Foundation
The volume is the first one in the world literature which is a comprehensive, up to date account on computing with words, a new direction in broadly perceived intelligent systems, proposed and advocated by Professor Zadeh, the founder of fuzzy sets theory
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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-Schulz Fuu.y Rule-Based Expert Systems and Genetic Machine Learning, 2nd ed. 1996 ISBN 3-7908-0964-0
Vol. 14. E. HisdaI 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. Klir and M.J. Wiennan Uncertainty-Based Information, 1998 ISBN 3-7908-1073-8
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 Fuu.y 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. 16. D. Driankov and R. Palm (Eds.) Advances in Fuzzy Contro~ 1998 ISBN 3-7908-1090-8 Vol. 17. L. Reznik, V. Dimitrov and J. Kacprzyk (Eds.) Fuu.y Systems Design, 1998 ISBN 3-7908-11\8-1 Vol. 18. L. Polkowski 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. Polkowski and A. Skowron (Eds.) Rough Sets in Knowledge Discovery 2, 1998, ISBN 3-7908-1120-3
Vol. 9. M. Salo el aI. Fuzzy Clustering Models and Applications, 1997, ISBN 3-7908-1026-6
Vol. 20. J. N. Mordeson and P. S. Nair Fuu.y Mathematics, 1998 ISBN 3-7908-1121-1
Vol. 10. L.C. Jain (Ed.) Soft Computing Techniques in Knowledge-based Intelligent Engineering Systems, 1997, ISBN 37908-1035-5
Vol. 21. L.C. Jain and T. Fukuda (Eds.) Soft Computing for Intelligent Robotic Systems, 1998 ISBN 3-7908-1147-5
Vol. II. W. Mielczarski (Ed.) Fuzzy Logic Techniques in Power Systems, 1998, ISBN 3-7908-1044-4
Vol. 22. J. Cardoso and H. Camargo (Eds.) Fuzziness in Petri Nets, 1999 ISBN 3-7908-1158-0
Vol. 12. B. Bouchon-Meunier (Ed.) Aggregation and Fusion of Imperfect Information, 1998 ISBN 3-7908-1048-7 Vol. 13. E. OrIowska (Ed.) Incomplete Information: Rough Set Analysis, 1998 ISBN 3-7908-1049-5
Vol. 23. P. S. Szczepaniak (Ed.) Computational Intelligence and Applications, 1999 ISBN 3-7908-1161-0 Vol. 24. E. OrIowska (Ed.) Logic at Work, 1999 ISBN 3-7908-1164-5 continued on page 518
Lotfi A. Zadeh Janusz Kacprzyk (Eds.)
Computing with Words in Information/Intelligent Systems 1 Foundations
With 135 Figures and 22 Tables
Springer-Verlag Berlin Heidelberg GmbH
Prof. Lotti A. Zadeh Berkeley Initiative in Soft Computing (BISC) Computer Science Division and Electronics Research Laboratory Department of Electrical and Electronics Engineering and Computer Science University of California Berkeley, CA 94720-1776 USA E-mail: [email protected] Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail: [email protected]
ISBN 978-3-662-11362-2 Cat