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.
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Reuter, U., Sickert, JU., Graf, W., Kaliske, M. (2012). Modeling and Processing of Uncertainty in Civil Engineering by Means of Fuzzy Randomness. In: Ermoliev, Y., Makowski, M., Marti, K. (eds) Managing Safety of Heterogeneous Systems. Lecture Notes in Economics and Mathematical Systems, vol 658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22884-1_14
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DOI: https://doi.org/10.1007/978-3-642-22884-1_14
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