Abstract: Based on the fuzzy random failure state and the safety state of the structure component, the first fuzzy probability computation model is set up, and the basic variables , i.e. the resistance R and the applied load S , are random ones in this model. Two different methods of this model, i.e. the basic variable one and the comprehensive variable one, are given out. The second fuzzy probability computation model is estabilshed on the fuzzy random basic variables, and whether the failure state of the component is treated as random or as fuzzy random, the fuzzy failure probability and the fuzzy reliability are both described as the conditional probabilities in the second model. The fuzzy probability computation model is also expressed as the general one in the paper.

Key words: component, fuzzy probability