Mathematics of Uncertainty Ideas, Methods, Application Problems
"Mathematics of Uncertainty" provides the basic ideas and foundations of uncertainty, covering the fields of mathematics in which uncertainty, variability, imprecision and fuzziness of data are of importance. This introductory book describes the basic ide
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Studies in Fuzziness and Soft Computing, Volume 189 Editor-in-chief Prof. Janusz Kacprzyk Systems Research Institute Polish Academy of Sciences ul. Newelska 6 01-447 Warsaw Poland E-mail: [email protected] Further volumes of this series can be found on our homepage: springeronline.com Vol. 174. Mircea Negoita, Daniel Neagu, Vasile Palade Computational Intelligence: Engineering of Hybrid Systems, 2005 ISBN 3-540-23219-2 Vol. 175. Anna Maria Gil-Lafuente Fuzzy Logic in Financial Analysis, 2005 ISBN 3-540-23213-3 Vol. 176. Udo Seiffert, Lakhmi C. Jain, Patric Schweizer (Eds.) Bioinformatics Using Computational Intelligence Paradigms, 2005 ISBN 3-540-22901-9 Vol. 177. Lipo Wang (Ed.) Support Vector Machines: Theory and Applications, 2005 ISBN 3-540-24388-7 Vol. 178. Claude Ghaoui, Mitu Jain, Vivek Bannore, Lakhmi C. Jain (Eds.) Knowledge-Based Virtual Education, 2005 ISBN 3-540-25045-X Vol. 179. Mircea Negoita, Bernd Reusch (Eds.) Real World Applications of Computational Intelligence, 2005 ISBN 3-540-25006-9 Vol. 180. Wesley Chu, Tsau Young Lin (Eds.) Foundations and Advances in Data Mining, 2005 ISBN 3-540-25057-3
Vol. 181. Nadia Nedjah, Luiza de Macedo Mourelle Fuzzy Systems Engineering, 2005 ISBN 3-540-25322-X Vol. 182. John N. Mordeson, Kiran R. Bhutani, Azriel Rosenfeld Fuzzy Group Theory, 2005 ISBN 3-540-25072-7 Vol. 183. Larry Bull, Tim Kovacs (Eds.) Foundations of Learning Classifier Systems, 2005 ISBN 3-540-25073-5 Vol. 184. Barry G. Silverman, Ashlesha Jain, Ajita Ichalkaranje, Lakhmi C. Jain (Eds.) Intelligent Paradigms for Healthcare Enterprises, 2005 ISBN 3-540-22903-5 Vol. 185. Spiros Sirmakessis (Ed.) Knowledge Mining, 2005 ISBN 3-540-25070-0 Vol. 186. Radim Bˇelohlávek, Vilém Vychodil Fuzzy Equational Logic, 2005 ISBN 3-540-26254-7 Vol. 187. Zhong Li, Wolfgang A. Halang, Guanrong Chen (Eds.) Integration of Fuzzy Logic and Chaos Theory, 2005 ISBN 3-540-26899-5 Vol. 188. James J. Buckley, Leonard J. Jowers Simulating Continuous Fuzzy Systems, 2006 ISBN 3-540-28455-9 Vol. 189. Hans-Walter Bandemer Mathematics of Uncertainty, 2006 ISBN 3-540-28457-5
Hans-Walter Bandemer
Mathematics of Uncertainty Ideas, Methods, Application Problems
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Professor Dr. Hans-Walter Bandemer Rooseveltstr. 9 06116 Halle Germany
Originally published in the German language by B.G. Teubner Verlag as “Hans Bandemer : c B.G. Teubner Verlag | GWV Ratschläge zum mathematischen Umgang mit Ungewißheit.” Fachverlage GmbH, Wiesbaden 1997. Library of Congress Control Number: 200593218
ISSN print edition: 1434-9922 ISSN electronic edition: 1860-0808 ISBN-10 3-540-28457-5 Springer Berlin Heidelberg New York ISBN-13 978-3-540-28457-4 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under th
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