Fuzzy Reasoning in Decision Making and Optimization

This book starts with the basic concepts of fuzzy arithmetics and progresses through the analysis of sup-t-norm-extended arithmetic operations, possibilistic linear systems and fuzzy reasoning approaches to fuzzy optimization. Four applications of (interd

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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

Further volumes of this series can be found at our homepage.

Vol. 71. K. Leiviska (Ed.) Industrial Applications of Soft Computing, 200J ISBN 3-7908-1388-5

Vol. 60. K.J. Cios (Ed.) Medical Data Mining and Knowledge Discovery, 200J ISBN 3-7908-1340-0

Vol. 72. M. Mares Fuzzy Cooperative Games, 200J ISBN 3-7908- 1392-3

Vol. 61. D. Driankov and A. Saffiotti (Eds.) Fuzzy Logic Techniques for Autonomous Vehicle Navigation, 200J ISBN 3-7908-1341-9 Vol. 62. N. Baba and L. C. Jain (Eds.) Computational Intelligence in Games, 200 J ISBN 3-7908-1348-6 Vol. 63. O. Castillo and P. Melin Soft Computing for Control of Non-Linear Dynamical Systems, 2001 ISBN 3-7908-1349-4 Vol. 64, L Nishizaki and M. Sakawa Fuzzy and Multiobjective Games for Conflict Resolution, 2001 ISBN 3-7908-1341-9 Vol. 65. E. Orlowska and A. Szalas (Eds.) Relational Methods for Computer Science Applications, 200J ISBN 3-7908-1365-6 Vol. 66. R.J. Howlett and L.c. Jain (Eds.) Radial Basis Function Networks J, 200J ISBN 3-7908-1367-2 Vol. 67. R.J. Howlett and L.c. Jain (Eds.) Radial Basis Function Networks 2, 200J ISBN 3-7908-1368-0 Vol. 68. A. Kandel, M. Last and H. Bunke (Eds.) Data Mining and Computational Intelligence, 200J ISBN 3-7908-1371-0

Vol. 73. Y. Yoshida (Ed.) Dynamical Aspects in Fuzzy Decision, 200J ISBN 3-7908-1397-4 Vol. 74. H.-N. Teodorescu, L. C. Jain and A. Kandel (Eds.) Hardware Implementation ofIntelligent Systems, 200J ISBN 3-7908-1399-0 Vol. 75. V. Loia and S. Sessa (Eds.) Soft Computing Agents, 2001 ISBN 3-7908-1404-0 Vol. 76. D. Ruan, J. Kacprzyk and M. Fedrizzi (Eds.) Soft Computing for Risk Evaluation and Management, 2001 ISBN 3-7908-1406-7 Vol. 77. W. Liu Propositional, Probabilistic and Evidential Reasoning, 2001 ISBN 3-7908-1414-8 Vol. 78. U. Seiffert and L. C. Jain (Eds.) Self-Organizing Neural Network, 200J ISBN 3-7908-1417-2 Vol. 79. A. Osyczka Evolutionary Algorithms for Single and Multicriteria Design Optimization, 2001 ISBN 3-7908-1418-0

Vol. 69. A. Piegat Fuzzy Modeling and Control, 200J ISBN 3-7908-1385-0

Vol. 80. P. Wong, F. Aminzadeh and M. Nikravesh (Eds.) Soft Computing for Reservoir Characterization and Modeling, 2002 ISBN 3-7908-1421-0

Vol. 70. W. Pedrycz (Ed.) Granular Computing, 200J ISBN 3-7908-1387-7

Vol. 81. V. Dimitrov and V. Korotkich (Eds.) Fuzzy Logic, 2002 ISBN 3-7908-1425-3

Christer Carlsson Robert Fuller

Fuzzy Reasoning in Decision Making and Optitnization With 90 Figures and 5 Tables

Springer-Verlag Berlin Heidelberg GmbH A Springer-Verlag Company

Professor Christer Carlsson Institute for Advanced Management Systems Research Abo Akademi University Lemminkăinengatan 14B FIN-20S20 Abo Finland [email protected] Professor Robert Fuller Department of Operations Research Eătvăs Lonind University Kecskemeti ut. 10-12 H-lOS3 Budapest Hunga