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A new approach to compute structural reliability is proposed. The novelty of the approach is that initial statistical information concerning the stress and strength of engineered structures is partial. Different numerous cases of state of knowledge about the stress and strength are analysed. A set of canonical analytical expressions for computing imprecise structural reliability has been obtained, and a few examples are presented. The reliability models developed are generalisations of conventional one.doi:10.1080/0308107021000061885 fatcat:axuwjz4tonf4xe72gqogmdt6be