“…Aiming at this problem in the EU-E model, Dong, Lu, Xia, and Xiong (2016) proposed an entropy-hazard model, which uses the concept of tolerance cost to analyse and control the impact of uncertainty on risk, however, the computational efficiency of the model is low, and it is difficult to determine a reasonable scheme of uncertainty control. Xia, Xiong, Dong, and Lu (2017) and Xia, Xiong, Wen, Lu, and Dong (2018) conducted sensitivity analysis based on the entropy-hazard model to narrow the scope of alternatives offered, improve computational efficiency, and selected the optimal risk control scheme based on stochastic decision theory; however, because the mechanism of water inrush during tunnel construction is complex and there are many factors influencing it, determining the exact relationship between risk factors and the probability of water inrush disaster is difficult, so the above method cannot be directly applied. In addition, risk assessment and decision-making usually require the participation of expert groups.…”