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Modeling and Processing of Uncertainty in Civil Engineering by Means of Fuzzy Randomness

In: Managing Safety of Heterogeneous Systems

Author

Listed:
  • Uwe Reuter

    (Technische Universität Dresden)

  • Jan-Uwe Sickert

    (Technische Universität Dresden)

  • Wolfgang Graf

    (Technische Universität Dresden)

  • Michael Kaliske

    (Technische Universität Dresden)

Abstract

The paper focuses on the adequate quantification of uncertainty which usually influences all numerical simulations of structures in the field of civil engineering. Fuzzy randomness provides adequate modeling of specific uncertainty phenomena, not only in the field of civil engineering. In this paper, approaches for modeling of data and model uncertainty by means of convex fuzzy random variables, including fuzzy variables and random variables as special cases, are presented. Numerical processing of those uncertain variables succeeds with the help of fuzzy stochastic structural analysis. By means of fuzzy stochastic analysis, it is possible to map fuzzy random input variables onto fuzzy random result variables. Thus, safety assessment of structures under precise distinction of the different kinds of uncertainty is feasible. The principal approaches are illustrated by means of two model problems in the field of civil engineering in order to show the significance and the applicability of the methods.

Suggested Citation

  • Uwe Reuter & Jan-Uwe Sickert & Wolfgang Graf & Michael Kaliske, 2012. "Modeling and Processing of Uncertainty in Civil Engineering by Means of Fuzzy Randomness," Lecture Notes in Economics and Mathematical Systems, in: Yuri Ermoliev & Marek Makowski & Kurt Marti (ed.), Managing Safety of Heterogeneous Systems, edition 127, pages 291-306, Springer.
    • Handle: RePEc:spr:lnechp:978-3-642-22884-1_14
    DOI: 10.1007/978-3-642-22884-1_14
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