Multi-Objective Programming and Goal Programming Theory and Applicat

This volume constitutes the proceedings of the Fifth International Conference on Multi-Objective Programming and Goal programming held in Nara Japan 2002. The book is dedicated to multi-objective methods in decision making. One half of the book is devoted

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Advances in 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-bin/search-bock.pl?series=4240 Esko Turunen Mathematics Behind Fuzzy Logic 1999. ISBN 3-7908-1221-8

Antonio Di Nola and Giangiacomo Gerla (Eds.) Lectures on Soft Computing and Fuzzy Logic 2001. ISBN 3-7908-1396-6

Robert Fuller Introduction to Neuro-Fuzzy Systems 2000. ISBN 3-7908-1256-0

Tadeusz Trzaskalik and Jerzy Michnik (Eds.) Multiple Objective and Goal Programming 2002. ISBN 3-7908-1409-1

Robert John and Ralph Birkenhead (Eds.) Soft Computing Techniques and Applications 2000. ISBN 3-7908-1257-9

James J. Buckley and Esfandiar Eslami An Introduction to Fuzzy Logic and Fuzzy Sets 2002. ISBN 3-7908-1447-4

Mieczyslaw Klopotek, Maciej Michalewicz and Slawomir T. Wierzchon (Eds.) Intellligent Information Systems 2000. ISBN 3-7908-1309-5

Ajith Abraham and Mario Koppen (Eds.) Hybrid Information Systems 2002. ISBN 3-7908-1480-6

Peter Sincak, Jan Va~tak, Vladimir Kvasnitka and Radko Mesiar (Eds.) The State of the Art in Computational Intelligence 2000. ISBN 3-7908-1322-2

Przemyslaw Grzegorzewski, Olgierd Hryniewicz, Maria A. Gil (Eds.) Soft Methods in Probability. Statistics and Data Analysis 2002. ISBN 3-7908-1526-8

Bernd Reusch and Karl-Heinz Temme (Eds.) Computational Intelligence in Theory and Practice 2000. ISBN 3-7908-1357-5

Lech Polkowski Rough Sets 2002. ISBN 3-7908-1510-1

Rainer Hampel, Michael Wagenknecht, N asredin Chaker (Eds.) Fuzzy Control 2000. ISBN 3-7908-1327-3

Mieczyslaw Klopotek, Maciej Michalewicz and Slawomir T. Wierzchon (Eds.) Intelligent Information Systems 2002 2002. ISBN 3-7908-1509-8

Henrik Larsen, Janusz Kacprzyk, Slawomir Zadrozny, Troels Andreasen, Henning Christiansen (Eds.) Flexible Query Answering Systems 2000. ISBN 3-7908-1347-8

Andrea Bonarini, Francesco Masulli and Gabriella Pasi (Eds.) Soft Computing Applications 2002. ISBN 3-7908-1544-6

Robert John and Ralph Birkenhead (Eds.) Developments in Soft Computing 2001. ISBN 3-7908-1361-3 Mieczyslaw Klopotek, Maciej Michalewicz and SlawomirT. Wierzchon (Eds.) Intelligent Information Systems 2001 2001. ISBN 3-7908-1407-5

Leszek Rutkowski, Janusz Kacprzyk (Eds.) Neural Networks and Soft Computing 2003. ISBN 3-7908-0005-8 Jiirgen Franke, Gholamreza Nakhaeizadeh, Ingrid Renz (Eds.) Text Mining 2003. ISBN 3-7908-0041-4

Tetsuzo Tanino Tamaki Tanaka Masahiro Inuiguchi

Multi-Objective Programming and Goal Programming Theory and Applications With 77 Figures and 48 Tables

~Springer

Professor Tetsuzo Tanino Professor Masahiro Inuiguchi Osaka University Graduate School of Engineering Dept. of Electronics and Information Systems 2-1 Yamada-Oka, Suita Osaka 565-0871 Japan

Professor Tamaki Tanaka Niigata University Graduate School of Science and Technology Dept. of Mathematics and Information Science 8050, Ikarashi 2-no-cho Niigata 950-2181 Japan

Supported by the Commemorative Association for the Japan World Exposition (