基于改进的博弈论-变权可拓模型的边坡稳定评估

为解决边坡稳定性评估中指标权重求取的模糊性问题,构建了基于改进的博弈论-变权可拓模型的边坡稳定性评估方法。首先构建综合评价指标体系,采用改进基于三值判断的FAHP法和CRITIC法分别确定主、客观常权；并由博弈论模型确定最优综合常权；为考虑评价指标自身状态值对其权重的影响,构造均衡函数,采用变权理论求得最终动态权重,以弥补常权评估带来的误差。利用物元可拓模型进行综合性评估,判定边坡的危险性等级。将该模型运用到某露天铜矿边坡稳定性评估中,其评估结果与实际情况相符,表明了该评估模型的科学可行性。在文中计算出的权重的基础上,采用其它综合评估方法进行验证,评估结果都与实际情况一致,证明了该种赋权方法的合理性。

Evaluation of Slope Stability Based on Improved Game Theory-variable Weight Extension Model

In order to solve the fuzzy problem of index weight in slope stability assessment, an slope stability assessment model based on improved game theory-variable weight extension model was constructed.Firstly, the comprehensive evaluation index system is constructed, and the improved FAHP based on the three-value judgment method and the CRITIC method are used to determine the subjective and objective permanent weights respectively.The optimal comprehensive constant weight is determined by the game theory model.In order to consider the influence of the state value of the evaluation index on its weight, an equilibrium function was constructed and the final dynamic weight was obtained by using the variable weight theory to make up for the error