Research on the Non-Probabilistic Reliability Based on Interval Model
Due to the dependence of the sample data for a probabilistic reliability model and the fuzzy model, the interval model was used to describe the uncertain parameters through which a new measure of non-probabilistic reliability was established. Studying the model with the non-probabilistic theory, a new measure of non-probabilistic reliability was established which was the minimum distance between the failure region and the total region constructed by all uncertain variables. This kind of measure not only is consistent with the criterion of the non-probabilistic robust reliability, but also has a clearer meaning. The validity and the feasibility were proved through a computational example.
Xingang Zhou, Mingjin Chu, Jinming Liu, Shuying Qu and Haitao Fan
A. R. Zhang and X. Liu, "Research on the Non-Probabilistic Reliability Based on Interval Model", Applied Mechanics and Materials, Vols. 166-169, pp. 1908-1912, 2012