Fuzzy Random Reliability Analysis of Blocky Rock-Mass in Slopes
Kun Yang, Xin Zhang
Abstract
Kun Yang, Xin Zhang
Abstract
Slope stability assessment is a geotechnical problem characterized by many sources of uncertainty. In classical reliability analysis, only the randomness of uncertainties is taken into account but the fuzziness of them is ignored. In this paper, a fuzzy probability approach and a fuzzy JC method are presented for the reliability analysis. The two methods have been applied to stability analysis of a certain slope of permanent ship lock in the Three-Gorges Project. The results obtained from these two methods are basically the same. However, compared with the fuzzy probability means, the fuzzy JC method can reflect the real situation better because it uses a fuzzy-based analysis applied to not only limit state equation but also mechanical parameters.
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Slope stability assessment is a geotechnical problem characterized by many sources of uncertainty. In classical reliability analysis, only the randomness of uncertainties is taken into account but the fuzziness of them is ignored. In this paper, a fuzzy probability approach and a fuzzy JC method are presented for the reliability analysis. The two methods have been applied to stability analysis of a certain slope of permanent ship lock in the Three-Gorges Project. The results obtained from these two methods are basically the same. However, compared with the fuzzy probability means, the fuzzy JC method can reflect the real situation better because it uses a fuzzy-based analysis applied to not only limit state equation but also mechanical parameters.
Key concepts: Randomness, Fuzzy logic, Reliability (semiconductor), Rock mass classification, Stability (learning theory), Three gorges, Mathematics, Geotechnical engineering