Large Scale Interactive Fuzzy Multiobjective Programming Decompositi
Simultaneous considerations of multiobjectiveness, fuzziness and block angular structures involved in the real-world decision making problems lead us to the new field of interactive multiobjective optimization for large scale programming problems under fu
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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-Sehulz Fuzzy Rule-8ased Expert Systems and Genetic Machine Leaming, 2nd ed. 1996 ISBN 3-7908-0964-0
Vol. 14. E. Hisdal Logical Structures for Representation of Knowledge and Uncertainty, 1998 ISBN 3-7908-1056-8
Vol. 4. T. Onisawa and J. Kaeprzyk (Eds.) Reliability and Safety Analyses untier Fuzziness, 1995 ISBN 3-7908-0837-7
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Vol. 5. P. Bose and J. Kaeprzyk (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. 17. L. Reznik, V. Dimitrov and J. Kaeprzyk (Eds.) Fuzzy Systems Design, 1998 ISBN 3-7908-1118-1
Vol. 7. B. A. Juliano and W. Bandler Tracing Chains-of-Thought, 1996 ISBN 3-7908-0922-5
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Vol. 8. F. Herrera and J. L. Verdegay (Eds.) Genetic Aigorithrns 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 Intelligent Engineering Systems, 1997 ISBN 3-7908-1035-5 Vol. 11. W. MieJczarski (Ed.) Fuzzy Logic Techniques in Power Systems, 1998 ISBN 3-7908-1044-4 Vol. 12. B. Bouehon-Meunier (Ed.) Aggregation and Fusion of Imperfeet Information, 1998 ISBN 3-7908-1048-7 Vol. 13. E. Orlowska (Ed.) Incomplete Information: Rough Set Analysis, 1998 ISBN 3-7908-1049-5
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 Intelligent 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. Szezepaniak (Ed.) Computational1ntelligence and Applications, 1999 ISBN 3-7908-1161-0 Vol. 24. E. Orlowska (Ed.) Logic at Wor/c, 1999 ISBN 3-7908-1164-5 eontinued on page 218
Masatoshi Sakawa
Large Seale Interaetive Fuzzy Multiobjeetive Programming Decomposition Approaches With 43 Figures and 25 Tables
Physica-Verlag A Springer-Verlag Company
Prof. Dr. Masatoshi Sakawa Department of Industrial and Systems Engineering Faculty of Engineering Hiroshima University 1-4-1 Kagamiyama Higashi-Hiroshima 739-8527 Japan E-mail: [email protected]
ISSN 1434-9922 Cataloging-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnabme Sakawa. Masatoshi: Large scale interactive fuzzy multiobjective programming: decompos
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