26. The Hybrid Probabilistic and Non-Probabilistic Model of Structural Reliability Analysis

The original hybrid probabilistic and non-probabilistic reliability model is only suitable for simple reliability analysis problem. To extend its usability, the model was improved, in which the reliability is measured with the bound of the random reliability and some interval variables are transformed into random variables based on the maximum entropy principle to improve the computational efficiency. Moreover, considering the influence of the fuzzy uncertainty in the reliability analysis, the hybrid probabilistic, fuzzy, and non-probabilistic model was presented, in which the fuzzy variables are transformed into equivalent random variables and the fuzzy limit state is dealt with the modified Monte Carlo method. The model is an effective way to analyze the reliability in the situation that random variables, fuzzy variables, and interval variables coexist in a problem.