To solve the problem that the traditional fuzzy Analytic Hierarchy Process (FAHP) cannot reflect the influence of prominent risk indexes on the evaluation results, a new risk assessment model of shield construction adjacent to the existing shield tunnel was established by introducing nonlinear operators into the traditional FAHP. A risk assessment index system including 5 primary risk indexes and 21 secondary risk indexes and risk assessment criteria were established for shield construction adjacent to the existing shield tunnel. The game theory was used to calculate the combination weights, which comprehensively consider the advantages of subjective and objective weights. The certainty was obtained through cloud model calculation, and then the membership degree vector was obtained to construct the fuzzy relationship matrix. Introducing nonlinear operators to comprehensively analyze the weights and fuzzy relationship matrices. Based on the principle of maximum membership degree, the final risk level result was obtained. The new model was applied to a case study of the risk assessment of shield construction of Changsha Metro Line 2, which is adjacent to Changsha Metro Line 4. The results show that: (a) The risk levels of sample 1 and sample 3 were level Ⅲ and sample 2 was level Ⅱ. The result was consistent with the actual situation which validates the applicability and accuracy of the employed methodology. (b) Compared with the traditional FAHP, the new risk assessment model adequately reflected the prominent impact of adverse risk indexes on risk assessment. Therefore, the new model maximizes the assurance of the rationality of the risk assessment results, which can be feasibly used in applications and guide other similar projects.

中文翻译：

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基于改进非线性 FAHP 的现有盾构隧道附近盾构施工风险评估


针对传统模糊层次分析法（FAHP）无法反映突出风险指标对评价结果的影响问题，通过在传统FAHP中引入非线性算子，建立了一种新型盾构隧道相邻盾构施工风险评估模型。为现有盾构隧道附近的盾构施工建立了包括 5 个主要风险指数和 21 个次要风险指数和风险评估标准的风险评估指标系统。采用博弈论计算组合权重，综合考虑了主观权重和客观权重的优势。通过云模型计算获得确定性，然后得到隶属度向量，构建模糊关系矩阵。引入非线性算子来全面分析权重和模糊关系矩阵。基于最大隶属度原则，得到最终的风险等级结果。将新模型应用于长沙地铁 2 号线（毗邻长沙地铁 4 号线）盾构施工风险评估的案例研究。结果表明：（a） 样本 1 和样本 3 的风险等级为 III. 级，样本 2 为 II. 级。结果与实际情况一致，验证了所采用方法的适用性和准确性。（b） 与传统的 FAHP 相比，新的风险评估模型充分反映了不良风险指标对风险评估的突出影响。因此，新模型最大限度地保证了风险评估结果的合理性，可以应用于应用并指导其他类似项目。