关键词: 非概率可靠性指标, 凸集模型, 区间变量, 可靠性, 凸方法, 区间方法

Abstract: A contrastive analysis of non-probabilistic reliability index was made theoretically and graphically between the relevant interval model and convex set model. It was found that there is a unidirectional consistence between the non-probabilistic reliability indices determined by two different arithmetics, i.e., the interval arithmetic and convex arithmetic. It means that if an index is thought to be reliable by the interval arithmetic, the index is necessarily thought to be reliable by the convex arithmetic as well but not vice versa. However, the interval arithmetic is relatively conservation than the convex one in judging the reliability on index basis, and a conclusion is therefore drawn that the convex arithmetic is more practical in production/engineering. The conclusion is further proved through the comparison of non-probabilistic reliability index obtained by the two arithmetics.