Abstract: The Analysing and Evaluating slope stability is often complicated because there are various factors and also because the influence exerted is of very difference in degree. This paper is based on catast rophe theory to discuss and analysis the assessment for slope stability.At first, we divide the complex system of slope stability into some subsystems,then put them to quantitative and recursive operation by using t he norma lizatio n fo rmula so as to obtain the ultimate catastr ophe membership function values of slope stability. Finally , we evaluate slope stability according to them.

Key words: slope stability, catastrophe theory, catastrophe fuzzy membership function, comprehensive judgement method

摘要： 采用突变理论将定性与定量结合起来,并与模糊数学的隶属函数相结合,对斜坡稳定评价这样的复杂系统,进行多层次目标分解,然后根据归一公式进行量化递归运算,根据斜坡的不同影响因素计算出斜坡稳定总突变隶属函数值,从而对斜坡稳定状态进行模糊综合分析与评判.

关键词: 斜坡稳定, 突变理论, 突变模糊隶属函数, 综合评判