AuthorMรถller, Bernd. author
TitleFuzzy Randomness [electronic resource] : Uncertainty in Civil Engineering and Computational Mechanics / by Bernd Mรถller, Michael Beer
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004
Connect tohttp://dx.doi.org/10.1007/978-3-662-07358-2
Descript XV, 336 p. online resource

SUMMARY

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


CONTENT

1 Introduction -- 2 Mathematical Basics for the Formal Description of Uncertainty -- 3 Description of Uncertain Structural Parameters as Fuzzy Variables -- 4 Description of Uncertain Structural Parameters as Fuzzy Random Variables -- 5 Fuzzy and Fuzzy Stochastic Structural Analysis -- 6 Fuzzy Probabilistic Safety Assessment -- 7 Structural Design Based on Clustering -- References


SUBJECT

  1. Mathematics
  2. Probabilities
  3. Statistics
  4. Computational intelligence
  5. Mechanics
  6. Mechanics
  7. Applied
  8. Buildings -- Design and construction
  9. Building
  10. Construction
  11. Engineering
  12. Architectural
  13. Mathematics
  14. Probability Theory and Stochastic Processes
  15. Theoretical and Applied Mechanics
  16. Computational Intelligence
  17. Statistics for Engineering
  18. Physics
  19. Computer Science
  20. Chemistry and Earth Sciences
  21. Building Construction