How to Develop and Utilize Numerical Algorithms with Automatic Result Verification?
Advances in computer technology axe now so profound that the arithmetic capability and repertoire of computers can and should be expanded. The quality of the elementary floating-point operations should be extended to the most frequent numerical data types
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Series Editors: The Reetars of CISM Sandor Kaliszky- Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM Giovanni Bianchi - Milan Executive Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 388
WHYS AND HOWS IN UNCERTAINTY MODELLING PROBABILITY, FUZZINESS AND ANTI-OPTIMIZATION
EDITED BY ISAAC ELISHAKOFF FLORIDA ATLANTIC UNIVERSITY
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Springer-Verlag Wien GmbH
This volume contains 153 illustrations
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 1999 by Springer-Verlag Wien Originally published by CISM, Udine in 1999. Softcoverreprint ofthe hardcover1st edition 1999 SPIN 10745123
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-7091-2503-8 ISBN 978-3-7091-2501-4 (eBook) DOI 10.1007/978-3-7091-2501-4
PREFACE
Recognition of the need to introduce the ideas of uncertainty reflects in part some of the profound changes in engineering over. the last two decades. The natural question arises: how to deal with uncertainty? Since one of the meanings of uncertainty is randomness, a natural answer to this question was and often appears to be to apply the theory of probability and random processes. This idea was spectacularly successful, and many scientists even refer to a "probabilistic revolution ". However, as was established recently the probabilistic methods are accompanied with serious difficulties during their implementation process in engineering applications. This gave rise to other, alternative treatments of uncertainty. This volume deals with both probabilistic and non-probabilistic: aspects of uncertainty modelling. In particular, the fuzzy-set-based analysis and the anti-optimization methods are pursued, in addition to recent developments in the stochastics theory and applications. The emphasis is placed on applications in civil, mechanical and aerospace engineering. The aim of this volume is to present to researchers, engineers and graduate students working on and interested in the problems concerned wUh the mechanics of solids and structures, a unified view on uncertainty. The current state of the development and applications of uncertainty modelfing and analysis will be reviewed from alternative and se
