Abstract:The predictions of displacements and deformations of rock slopes are important in rock and soil mechanics and engineering. Various approximate methods have been used for such calculations. The displacement or deformation of a rock mass can be regarded as a fuzzy event that takes place at a fuzzy probability. Therefore,the theory of fuzzy measures can be applied to describe the displacements and deformations of rock slopes. Based on the results of the statistical analysis of a large amount of measured data in slope engineering,the fundamental fuzzy model of displacements and deformations of rock slope is established by using the theory of fuzzy measures. The formulas of two-dimensional problems are developed and applied to the predictions of displacements and deformations of rock slopes due to surface excavation. The fuzzy measures models presented are adopted for back analysis using displacement parameters. The agreement of the theoretical results with the field measurements shows that the model is satisfactory and the formulae obtained are valid,and thus can be effectively applied to predict the displacements,the failure of rock slopes due to mining,and the failure of slopes under the influence of groundwater.