Overview
- Provides basic ideas and mathematical foundations of uncertainty
- Gives practical advices how to mathematically include uncertainty and vageness inherent in practical problems and data
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 189)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
"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 ideas of the mathematical fields of uncertainty from simple interpolation to wavelets, from error propagation to fuzzy sets and neural networks. The book presents the treatment of problems of interpolation and approximation, as well as observation fuzziness which can essentially influence the preciseness and reliability of statements on functional relationships. The notions of randomness and probability are examined as a model for the variability of observation and measurement results. Besides these basic ideas the book also presents methods of qualitative data analysis such as cluster analysis and classification, and of evaluation of functional relationships such as regression analysis and quantitative fuzzy data analysis.
Reviews
From the reviews
"This monograph is an English translation of the German original from 1997 … . The book is intended to assist practitioners to successfully use mathematical resources when dealing with uncertainty. … the ideas presented in this book remain valid and helpful especially for practitioners in helping them to decide for an appropriate software tool when dealing with data suffering from uncertainty." (Radko Mesiar, Zentralblatt MATH, Vol. 1084, 2006)
"This book is about mathematical modeling and analysis of uncertainty in real-world problems. … The book is recommended for all who deal with complex data, especially in the social sciences and intelligence technology." (Hung Trung Nguyen, Mathematical Reviews, Issue 2007 b)
Authors and Affiliations
Bibliographic Information
Book Title: Mathematics of Uncertainty
Book Subtitle: Ideas, Methods, Application Problems
Authors: Hans-Walter Bandemer
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/3-540-31228-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Hardcover ISBN: 978-3-540-28457-4Published: 03 November 2005
Softcover ISBN: 978-3-642-06669-6Published: 30 November 2010
eBook ISBN: 978-3-540-31228-4Published: 25 January 2008
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XIV, 190
Additional Information: Original German edition published by B.G. Teubner Verlag, 1997
Topics: Mathematical and Computational Engineering, Probability Theory and Stochastic Processes, Systems Theory, Control, Applications of Mathematics, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences, Artificial Intelligence