@Article{cmes.2020.08386,
AUTHOR = {Wencai Sun, Zichun Yang},
TITLE = {A Comprehensive Model for Structural Non-Probabilistic Reliability and the Key Algorithms},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {123},
YEAR = {2020},
NUMBER = {1},
PAGES = {309--332},
URL = {http://www.techscience.com/CMES/v123n1/38495},
ISSN = {1526-1506},
ABSTRACT = {It is very difficult to know the exact boundaries of the variable domain for 
problems with small sample size, and the traditional convex set model is no longer 
applicable. In view of this, a novel reliability model was proposed on the basis of the 
fuzzy convex set (FCS) model. This new reliability model can account for different 
relations between the structural failure region and variable domain. Key computational 
algorithms were studied in detail. First, the optimization strategy for robust reliability is 
improved. Second, Monte Carlo algorithms (i.e., uniform sampling method) for 
hyper-ellipsoidal convex sets were studied in detail, and errors in previous reports were 
corrected. Finally, the Gauss-Legendre integral algorithm was used for calculation of the 
integral reliability index. Three numerical examples are presented here to illustrate the 
rationality and feasibility of the proposed model and its corresponding algorithms.},
DOI = {10.32604/cmes.2020.08386}
}