模糊数学在边坡稳定分析中的应用

边坡稳定性分析是一个非常复杂的不确定问题，其不确定性主要有两种：随机不确定和模糊不确定。实践证明，模糊不确定是比随机不确定更为深刻的不确定性。综述了模糊数学在边坡稳定性分析中的应用，重点阐述了模糊综合评判、模糊参数非概率稳定性分析和模糊随机可靠度的原理、特点及研究现状。针对模糊理论和边坡稳定自身的特点及其研究现状，对模糊数学在边坡稳定性分析应用中存在的问题及未来的发展方向进行了分析，以期为相关研究提供有益借鉴。

Application of fuzzy mathematics to slope stability analysis

Slope stability assessment is a geotechnical problem characterized by many sources of uncertainty，random uncertainty and fuzzy uncertainty. Practice has proved that fuzzy uncertainty is more profound than random uncertainty in slope stability evaluation. The article summarized the application of fuzzy analysis to slope stability evaluation. The basic principle, characteristics, advantages and shortcomings of various methods were elaborated. Based on the properties and research status of slope stability and fuzzy theory, the main issues and development trends of application of fuzzy analysis to slope stability evaluation were discussed.