Jan-Uwe Sickert, Wolfgang Graf, and Uwe Reuter (2005)
Application of fuzzy randomness to time-dependent reliability
In: Safety and Reliability of Engineering Systems and Structures Proceedings of the 9th Int. Conference on Structural Safety and Reliability, edited by Augusti, G.; Schueller, G.I. and Ciampoli, M.. Millpress, Rotterdam, pages 1709–1716.
In the paper a new safety
concept is presented considering time-dependent data uncertainty of
fuzzy random type. Time-dependent data uncertainty leads to a time
variant reliability of structures. The fuzzy failure probability
depending on the time τ is introduced as measure of the reliability.
Based on the α-level optimization the fuzzy failure probability is
computed by the fuzzy Monte Carlo simulation (FMCS). In order to
decrease the numerical effort of the fuzzy Monte Carlo simulation
the fuzzy adaptive importance sampling method (FAIS) is introduced.
An example demonstrates the feasibility of the proposed procedure.