Propositional, Probabilistic and Evidential Reasoning Integrating Nu

The book systematically provides the reader with a broad range of systems/research work to date that address the importance of combining numerical and symbolic approaches to reasoning under uncertainty in complex applications. It covers techniques on how

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Studies in Fuzziness and Soft Computing Editor-in-chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences uI. Newelska 6 01-447 Warsaw, Poland E-mail: [email protected] http://www.springer.de/cgi-bin/search_book.pl?series = 2941

Further volumes of this series can be found at our homepage. VoI. 55. J.N. Mordeson, D.S. Malik and S.-e. Cheng FuzzY Mathematics in Medicine, 2000 ISBN 3-7908-1325-7

VoI. 65. E. Orlowska and A. Szalas (Eds.) Relational Methods for Computer Science Applications, 2001 ISBN 3-7908-1365-6 VoI. 66. R.J. Howlett and L.e. Jain (Eds.) Radial Basis Function Networks 1, 2001 ISBN 3-7908-1367-2

VoI. 56. L. Polkowski, S. Tsumoto and T. Y. Lin (Eds.) Rough Set Methods and Applications, 2000 ISBN 3-7908-1328-1

VoI. 67. R.J. Howlett and L.C. Jain (Eds.) Radial Basis Function Networks 2, 2001 ISBN 3-7908-1368-0

VoI. 57. V. Novak and 1. Perfilieva (Eds.) Discovering the World with Fuzzy Logic, 2001 ISBN 3-7908-1330-3

VoI. 68. A. Kandel, M. Last and H. Bunke (Eds.) Data Mining and Computational Intelligence, 2001 ISBN 3-7908-1371-0

VoI. 58. D.S. Malik and J.N. Mordeson FuzzY Discrete Structures, 2000 ISBN 3-7908-1335-4

VoI. 69. A. Piegat FuzzY Modeling and Control, 2001 ISBN 3-7908-1385-0

VoI. 59. T. Furuhashi, S. Tano and H.-A. Jacobsen (Eds.) Deep Fusion of Computational and Symbolic Processing, 2001 ISBN 3-7908-1339-7

VoI. 70. W. Pedrycz (Ed.) Granular Computing, 2001 ISBN 3-7908-1387-7

VoI. 60. K.J. Cios (Ed.) Medical Data Mining and Knowledge Discovery, 2001 ISBN 3-7908-1340-0 VoI. 61. D. Driankov and A. Saffiotti (Eds.) FuzzY Logic Techniques for Autonomous Vehic/e Navigation, 2001 ISBN 3-7908-1341-9 VoI. 62. N. Baba and L.C. Jain (Eds.) Computational Intelligence in Games, 2001 ISBN 3-7908-1348-6 VoI. 63. O. Castillo and P. Melin Soft Computing for Control of Non-Linear Dynamical Systems, 2001 ISBN 3-7908-1349-4 VoI. 64. 1. Nishizaki and M. Sakawa FuzzY and Multiobjective Games for Conflict Resolution, 2001 ISBN 3-7908-1341-9

VoI. 71. K. Leiviska (Ed.) Industrial Applications of Soft Computing, 2001 ISBN 3-7908-1388-5 VoI. 72. M. Mares FuzzY Cooperative Games, 2001 ISBN 3-7908-1392-3 VoI. 73. Y. Yoshida (Ed.) Dynamical Aspects in Fuzzy Decision, 2001 ISBN 3-7908-1397-4 VoI. 74. H.-N. Teodorescu, L. e. Jain and A. Kandel (Eds.) Hardware Implementation of Intelligent Systems, 2001 ISBN 3-7908-1399-0 VoI. 75. V. Loia and S. Sessa (Eds.) Soft Computing Agents, 2001 ISBN 3-7908-1404-0 VoI. 76. D. Ruan, J. Kacprzyk and M. Fedrizzi (Eds.) Soft Computing for Risk Evaluation and Management, 2001 ISBN 3-7908-1406-7

Weiru Liu

Propo sitional ,

Probabilistic and Evidential Reasoning Integrating Numerical and Symbolic Approaches With 9 Figures and 35 Tables

Springer-Verlag Berlin Heidelberg GmbH

Dr. Weiru Liu School of Infonnation and Software Engineering University of Ulster at Jordanstown Newtownabbey Co. Antrim BT37 OQB Northern Ireland United Kingdom [email protected]

ISSN 1434-9922 ISBN 978-3-7908-2493-3 ISBN 978-3-7908-1811-6 (eBook) DOI 10.1007/978-3-7908-1