The purpose of the non-parameterized P-box uncertainty propagation analysis is to calculate the cumulative distribution function (CDF) bounds of the response function based on the CDF bounds of the input parameters for a system. Generally, the uncertainty propagation analysis of non-parameterized P-box involves a double-layer nested analysis problem, which leads to excessive and unacceptable computational burden. Therefore, an efficient uncertainty propagation analysis method based on dimension-reduction integral is proposed for the problem with non-parameterized P-box parameters to obtain bou...