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Abstract Based on slip surface stress method of finite element analysis of slope stability，the fuzzy random reliability analysis method of slope stability is studied with consideration of both the fuzziness of basic variables and limit states. For the consideration of the fuzziness of basic variables，the method of equivalent transformation is used for the transforming from fuzzy variables to random variables. For the consideration of the fuzziness of limit states，the method of probabilistic integral is used for the calculation of fuzzy failure probability and fuzzy random reliability index. The proposed method can not only calculate the fuzzy random reliability index of each finite element，but also the minimum reliability index of the whole slope and the corresponding position of the critical slip surface. This method can consider the fuzziness of both the basic variables and the limit states，and it is an extension of the normally used stochastic finite element reliability analysis method. If the fuzziness of the basic variables and the limit states are not considered，the method will turn into the normally used stochastic finite element reliability analysis method of slope stability.
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Received: 26 October 2008
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