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

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 be 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 λ 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 2n kinds of combinations. So a modified fuzzy point estimate method is proposed by the authors, and it is used in a slope reliability analysis.