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Aiming at the nonlinear problem of regret value when regret theory is used to solve multi-attribute group decision making problems in hydraulic engineering, a multi-attribute group decision making method combined with grey correlation analysis method is proposed. Firstly, the regret theory was used to obtain the decision maker's perceived utility for each option and determine the regret decision matrix. Secondly, according to the nonlinear problem between regret values, the weight of attributes and the comprehensive regret value of each scheme were calculated by grey correlation analysis, and then the best scheme was obtained according to the ranking of the comprehensive regret value. Finally, the feasibility of the method was verified by case analysis. The results show that this method can solve the nonlinear characteristics and weight problems in regret theory, and make decision-making more reasonable when considering psychological factors.

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针对水利工程中运用后悔理论解决多属性群决策问题时出现的后悔值非线性问题，提出一种结合灰色关联分析法的多属性群决策方法。首先利用后悔理论得到决策者对每个方案的感知效用并确定后悔决策矩阵；其次针对后悔值之间的非线性问题，运用灰色关联分析确定属性权重并得出各方案的综合后悔值，然后依据综合后悔值的排序选出最佳方案；最后通过水利工程事故案例分析，验证了该方法的可行性。结果表明该方法可以解决后悔理论中的非线性特性及权重问题，使决策结果在考虑心理因素情况下更具合理性。

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陈千庆（2000-），男，硕士研究生，研究方向为水利工程施工风险，E-mail：2805172973@qq.com

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陈千庆（2000-），男，硕士研究生，研究方向为水利工程施工风险，E-mail：2805172973@qq.com

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