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Bounding Uncertainty in Civil Engineering

Theoretical Background

  • Book
  • © 2010

Overview

Authors:
  1. Alberto Bernardini

    1. Dipartimento di Costruzioni e Trasporti (DCT), Università degli Studi di Padova, Padova, Italy

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  2. Fulvio Tonon

    1. Department of Civil Engineering, The University of Texas at Austin, Austin, USA

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  • Basic ideas and methods of Random Sets in Civil Engineering are presented with the aid of simple worked-out examples and suggested problems

  • Useful as reference for practicing engineers involved in planning, design, construction and management of civil infrastructures, as well as a graduate-level textbook

  • Provides various applications with real case-histories from civil engineering: reliability analysis of structures, soil and rock slopes, etc.

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Table of contents (6 chapters)

  1. Front Matter

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  2. Motivation

    • Alberto Bernardini, Fulvio Tonon
    Pages 1-14

  3. Review of Theory of Probability and Notation

    • Alberto Bernardini, Fulvio Tonon
    Pages 15-24

  4. Random Sets and Imprecise Probabilities

    • Alberto Bernardini, Fulvio Tonon
    Pages 25-101

  5. Random Relations

    • Alberto Bernardini, Fulvio Tonon
    Pages 103-201

  6. Inclusion and Mapping of Random Sets/Relations

    • Alberto Bernardini, Fulvio Tonon
    Pages 203-253

  7. Approximate Reasoning

    • Alberto Bernardini, Fulvio Tonon
    Pages 255-308

  8. Back Matter

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Keywords

About this book

Taking an engineering, rather than a mathematical, approach, Bounding uncertainty in Civil Engineering - Theoretical Background deals with the mathematical theories that use convex sets of probability distributions to describe the input data and/or the final response of systems. The particular point of view of the authors is centered on the applications to civil engineering problems, and the theory of random sets has been adopted as a basic and relatively simple model. However, the authors have tried to elucidate its connections to the more general theory of imprecise probabilities, Choquet capacities, fuzzy sets, p-boxes, convex sets of parametric probability distributions, and approximate reasoning both in one dimension and in several dimensions with associated joint spaces. If choosing the theory of random sets may lead to some loss of generality, it has, on the other hand, allowed for a self-contained selection of the topics and a more unified presentation of the theoretical contents and algorithms. With over 80 examples worked out step by step, the book should assist newcomers to the subject (who may otherwise find it difficult to navigate a vast and dispersed literature) in applying the techniques described to their own specific problems.

Authors and Affiliations

  • Dipartimento di Costruzioni e Trasporti (DCT), Università degli Studi di Padova, Padova, Italy

    Alberto Bernardini

  • Department of Civil Engineering, The University of Texas at Austin, Austin, USA

    Fulvio Tonon

Bibliographic Information

  • Book Title: Bounding Uncertainty in Civil Engineering

  • Book Subtitle: Theoretical Background

  • Authors: Alberto Bernardini, Fulvio Tonon

  • DOI: https://doi.org/10.1007/978-3-642-11190-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2010

  • Hardcover ISBN: 978-3-642-11189-1Published: 11 March 2010

  • Softcover ISBN: 978-3-642-42542-4Published: 31 October 2014

  • eBook ISBN: 978-3-642-11190-7Published: 15 March 2010

  • Edition Number: 1

  • Number of Pages: X, 322

  • Topics: Solid Mechanics, Solid Mechanics, Geotechnical Engineering & Applied Earth Sciences, Civil Engineering

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