Seismic Reliability Analysis of Existing Structures Based on Fuzzy Probability

This paper provides a reliability analysis of existing bridge structures for earthquake loads. Using a fuzzy graph and fuzzy relation, an attempt is made to consider the effect of structural deterioration in the evaluation of structural reliability. The analysis method gives the final result in the form of fuzzy probability, which can provide more information to the reliability analysis of the structure in future. Several numerical examples are presented to demonstrate the applicability of the method proposed here.