Fuzzy Randomness

Uncertainty in Civil Engineering and Computational Mechanics

Authors: Möller, Bernd, Beer, Michael

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Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-540-40294-7
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Softcover 135,19 €
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  • ISBN 978-3-642-07312-0
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About this book

This book, for the first time, provides a coherent, overall concept for taking account of uncertainty in the analysis, the safety assessment, and the design of structures. The reader is introduced to the problem of uncertainty modeling and familiarized with particular uncertainty models. For simultaneously considering stochastic and non-stochastic uncertainty the superordinated uncertainty model fuzzy randomness, which contains real valued random variables as well as fuzzy variables as special cases, is presented. For this purpose basic mathematical knowledge concerning the fuzzy set theory and the theory of fuzzy random variables is imparted. The body of the book comprises the appropriate quantification of uncertain structural parameters, the fuzzy and fuzzy probabilistic structural analysis, the fuzzy probabilistic safety assessment, and the fuzzy cluster structural design. The completely new algorithms are described in detail and illustrated by way of demonstrative examples.

About the authors

Univ.-Prof. Dr.-Ing. habil. Bernd MÖLLER (* 1941): studies in civil engineering (University of Technology, Dresden), main studies in constructional and structural engineering. Since 1996: Professor for Structural Analysis (University of Technology, Dresden).
Dr.-Ing. Michael BEER (* 1970): studies in civil engineering (University of Technology, Dresden), main studies in constructional and structural engineering. Since 2003: project manager of the DFG research project BE 2570/1 for funding the own occupation.

Reviews

From the reviews:

"The subject of the book is the comprehensive consideration of uncertainty in the numerical analysis, the safety assessment, and the design of structures. … The book in particular is addressed to civil engineers … . But also for mechanical engineers … the book represents a suitable introduction to the problem of uncertainty modeling … . can be instrumental in broadening the interests and background of those who turn to it. The book demonstrates how one goes about taking account of uncertainty modeling and uncertainty models." (Current Engineering Practice – online, Vol. 47, 2004/2005)

"The book deals with a new and important subject of mathematical modeling in engineering, i.e. uncertainty models in civil engineering. It contains seven chapters and an extensive reference list. This work is recommended to engineers and scientists in the area of civil engineering, fuzzy analysis and the corresponding numerical methods." (Olivian Simionescu, Zentralblatt MATH, Vol. 1080, 2006)

"To my best knowledge, this is the first book that covers fuzzy randomness in a comprehensive way. The motivation of the authors to study fuzzy randomness was to deal with some difficult problems in the field of civil engineering and computational mechanics in a more realistic fashion. … this is an important book. I have no doubt that it will stimulate the use of fuzzy randomness not only in civil engineering and computational mechanics, but in other areas as well." (George J. Klir, International Journal of General Systems, Vol. 34 (3), 2005)


Table of contents (7 chapters)

Table of contents (7 chapters)
  • Introduction

    Pages 1-18

    Möller, Univ.-Prof. Dr.-Ing. habil. Bernd (et al.)

  • Mathematical Basics for the Formal Description of Uncertainty

    Pages 19-89

    Möller, Univ.-Prof. Dr.-Ing. habil. Bernd (et al.)

  • Description of Uncertain Structural Parameters as Fuzzy Variables

    Pages 90-108

    Möller, Univ.-Prof. Dr.-Ing. habil. Bernd (et al.)

  • Description of Uncertain Structural Parameters as Fuzzy Random Variables

    Pages 109-134

    Möller, Univ.-Prof. Dr.-Ing. habil. Bernd (et al.)

  • Fuzzy and Fuzzy Stochastic Structural Analysis

    Pages 135-227

    Möller, Univ.-Prof. Dr.-Ing. habil. Bernd (et al.)

Buy this book

eBook 106,99 €
price for Spain (gross)
  • ISBN 978-3-662-07358-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-540-40294-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 135,19 €
price for Spain (gross)
  • ISBN 978-3-642-07312-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fuzzy Randomness
Book Subtitle
Uncertainty in Civil Engineering and Computational Mechanics
Authors
Copyright
2004
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-07358-2
DOI
10.1007/978-3-662-07358-2
Hardcover ISBN
978-3-540-40294-7
Softcover ISBN
978-3-642-07312-0
Edition Number
1
Number of Pages
XV, 336
Topics