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11 - Aspects of Uncertainty

Structural Reliability Theory and Fuzzy Logic

Published online by Cambridge University Press:  20 March 2025

P. A. Caridis
P. A. Caridis
Affiliation:
National Technical University of Athens
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Summary

The different types of uncertainty and the theories developed to account for them are presented in this chapter. The concepts of risk and reliability are introduced and defined following which basic probability ideas are discussed. The methods used to determine structural reliability are described (the direct integration method, Level II reliability methods and the Level I method). Level II reliability methods include the mean value first-order second-moment method and variants of it based on the Hasofer-Lind reliability index used in the case of nonlinear limit state functions and the Rackwitz-Fiessler procedure that has to be followed in the case of non-normal distributions. The Level I reliability method is discussed and the approach followed to determine partial safety factors described. In the next section fuzzy logic and fuzzy set theory are described. They are introduced by distinguishing between classical logic and fuzzy logic, following which fuzzy sets and fuzzy inference are described. In the last section the steps in the fuzzy inference system are presented and examples of such systems mentioned.

Keywords

uncertaintyriskreliabilitypartial safety factorLevel II methodsfuzzy set theoryfuzzy inference
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Global Strength of Ships
Analysis and Design using Mathematical Methods
 , pp. 513 - 558
Publisher: Cambridge University Press
Print publication year: 2025

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  • Aspects of Uncertainty
  • P. A. Caridis, National Technical University of Athens
  • Book: Global Strength of Ships
  • Online publication: 20 March 2025
  • Chapter DOI: https://doi.org/10.1017/9781009465892.012
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  • Aspects of Uncertainty
  • P. A. Caridis, National Technical University of Athens
  • Book: Global Strength of Ships
  • Online publication: 20 March 2025
  • Chapter DOI: https://doi.org/10.1017/9781009465892.012
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Aspects of Uncertainty
  • P. A. Caridis, National Technical University of Athens
  • Book: Global Strength of Ships
  • Online publication: 20 March 2025
  • Chapter DOI: https://doi.org/10.1017/9781009465892.012
Available formats
×