Modified fuzzy point estimate method and its application to slope reliability analysis

摘要

A slope engineering system is a complex system, in which many uncertainties exist, including random uncertainties and fuzzy uncertainties. Traditionally, random uncertainties were often considered, while fuzzy uncertainties were ignored. Therefore, fuzzy-random methods should he proposed. A fuzzy point estimate method was proposed by Dodagoudar, that is, considering the effect of fuzzy-random factors, the fuzzy-random limit state function of slopes is changed to random interval limit state function by the lambda level cutting, then the moments of the function can be obtained by the Rosenblueth's method, and the stability state of slopes can be evaluated by synthesizing a group of moments. But in Dodagoudar's method, Rosenblueth's state function is composed of only two kinds of combinations of parameters rather than 2~n kinds of combinations. So a modified fuzzy point estimate method is proposed by the authors, and it is used in a slope reliability analysis.