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Mathematics of Uncertainty

Ideas, Methods, Application Problems

  • Hans-Walter Bandemer

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 189)

About this book

Introduction

"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.

Keywords

Fuzzy Fuzzy Data Analysis Modelling Uncertainty Regression Regression Theory Regression analysis Wavelet calculus classification cluster analysis data analysis fuzzy set model uncertainty

Authors and affiliations

  • Hans-Walter Bandemer
    • 1
  1. 1.HalleGermany

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-31228-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-28457-4
  • Online ISBN 978-3-540-31228-4
  • Series Print ISSN 1434-9922
  • Buy this book on publisher's site