Non-probabilistic set-theoretic model for structural safety measure

In this paper, a new non-probabilistic set-theoretic safety measure for structures is proposed. Based on the non-probabilistic set-theoretic stress-strength interference model, the ratio of the volume of the safe region to the total volume of the region associated with the variation of the basic interval variables is suggested as the measure of structural non-probabilistic safety. The compatibility between the presented non-probabilistic set-theoretic safety measure and the probabilistic reliability is demonstrated. Numerical examples are used to shed a light on the validity of the presented measure.