The invention discloses a reliability
analysis method based on
hybrid uncertainty variables and application thereof, and the method comprises the following steps: performing variable
processing, including interval variable
processing and fuzzy variable
processing, for interval variable processing, converting an interval variable x into a random variable U obeying standard normal distribution, fuzzy variable processing comprising fuzzy variable initialization and fuzzy variable set
cutting processing; inputting a starting point; calculating uk+ 1; judging a KKT condition; judging convergence; calculating a maximum
failure probability and a minimum
failure probability under the current
cut set; and judging a termination condition. According to the reliability
analysis method based on the
hybrid uncertainty variables, multiple uncertainty types can be optimized,
hybrid reliability analysis with random, interval and
fuzzy uncertainty variables at the same time can be completed, a brand-new technical processing thought is provided for hybrid reliability analysis, and the processing flow is greatly simplified. The technical level of reliability analysis of various types of uncertainty is improved, and the method has great application prospects.