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J-U Sickert, M Beer, W Graf, and B Möller (2003)
Fuzzy probabilistic structural analysis considering fuzzy random functions
In: 9th Int. Conference on Applications of Statistics and Probability in Civil Engineering, edited by A. Der Kiureghian and S. Madanat and J. M. Pestana. Millpress, Rotterdam, pages 379–386.
The system behavior may only be realistically assessed provided all input data are appropriately described and a realistic computational model is implemented. In the paper a new concept of modelling is presented, based on the theory of fuzzy randomness functions. By this means, a super-ordinate uncertainty model is made available which includes the models developed so far, based on real random values and fuzzy values as special cases. For the analysis of a structure with the aid of a crisp (or uncertainty) algorithm and with fuzzy random functions (or random functions) as input values as well as fuzzy values as model parameters, a fuzzy probabilistic structural analysis is introduced.
