Fuzzy Mathematics An Introduction for Engineers and Scientists
In the mid-1960's I had the pleasure of attending a talk by Lotfi Zadeh at which he presented some of his basic (and at the time, recent) work on fuzzy sets. Lotfi's algebra of fuzzy subsets of a set struck me as very nice; in fact, as a graduate student
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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. 68. A. Kandel, M. Last and H. Bunke (Eds.) Data Mining and Computational Intelligence, 2001 ISBN 3-7908-1371-0
Vol. 58. D.S. Malik and J.N. Mordeson Fuzzy Discrete Structures, 2000 ISBN 3-7908-1335-4
Vol. 69. A. Piegat Fuzzy Modeling and Control, 2001 ISBN 3-7908-1385-0
Vol. 59. T. Furuhashi, S. Tano and H.-A. Jacobsen (Eds.) Deep Fusion of Computational and Symbolic Processing, 2001 ISBN 3-7908-1339-7
Vol. 70. W. Pedrycz (Ed.) Granular Computing, 2001 ISBN 3-7908-1387-7 Vol. 71. K. Leiviskli (Ed.) Industrial Applications of Soft Computing, 2001 ISBN 3-7908-1388-5
Vol. 60. K.J. Cios (Ed.) Medical Data Mining and Knowledge Discovery, 2001 ISBN 3-7908-1340-0
Vol. 72. M. Mares Fuzzy Cooperative Games, 2001 ISBN 3-7908-1392-3
Vol. 61. D. Driankov and A. Saffiotti (Eds.) Fuzzy Logic Techniques for Autonomous Vehicle Navigation, 2001 ISBN 3-7908-1341-9
Vol. 73. Y. Yoshida (Ed.) Dynamical Aspects in Fuzzy Decision, 2001 ISBN 3-7908-1397-4
Vol. 62. N. Baba and L. C. Jain (Eds.) Computational Intelligence in Games, 2001 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. 74. H.-N. Teodorescu, L.c. Jain and A. Kandel (Eds.) Hardware Implementation of Intelligent Systems, 2001 ISBN 3-7908-1399-0 Vol. 75. V. Loia and S. Sessa (Eds.) Soft Computing Agents, 2001 ISBN 3-7908-1404-0
Vol. 64. I. Nishizaki and M. Sakawa Fuzzy and Multiobjective Games for Conflict Resolution, 2001 ISBN 3-7908-1341-9
Vol. 76. D. Ruan, J. Kacprzyk and M. Fedrizzi (Eds.) Soft Computing for Risk Evaluation and Management, 2001 ISBN 3-7908-1406-7
Vol. 65. E. Orlowska and A. Szalas (Eds.) Relational Methods for Computer Science Applications, 2001 ISBN 3-7908-1365-6
Vol. 77. W. Liu Propositional, Probabilistic and Evidential Reasoning, 2001 ISBN 3-7908-1414-8
Vol. 66. R.J. Howlett and L.c. Jain (Eds.) Radial Basis Function Networks 1, 2001 ISBN 3-7908-1367-2
Vol. 78. U. Seiffert and L. C. Jain (Eds.) Self-Organizing Neural Network, 2001 ISBN 3-7908-1417-2
Vol. 67. R.J. Howlett and L.c. Jain (Eds.) Radial Basis Function Networks 2, 2001 ISBN 3-7908-1368-0
Vol. 79. A. Osyczka Evolutionary Algorithms for Single and Multicriteria Design Optimization, 2001 ISBN 3-7908-1418-0
John N. Mordeson Premchand S. Nair
Fuzzy Mathematics An Introduction for Engineers and Scientists Second Edition With 30 Figures and 9 Tables
Springer-Verlag Berlin Heidelberg GmbH
Professor John N. Mordeson Director Center for Research in Fuzzy Mathematics and Computer Science Creighton University 2500 California Plaza Omaha, Nebraska 68178 USA [email protected] Associate Professor Premchand S. Nair Department of Mathematics and Computer Science Creighto
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