基于熵权的可拓理论在地灾危险性评价中的应用

Application of entropy weight based extension theory in risk assessment of geological hazards

为解决地质灾害评价中定量与定性指标不确定、不相容问题,将熵值法与可拓理论相结合,建立了基于熵权的可拓理论模型。在物元模型的基础上,利用信息熵反映的数据效用值来刻画指标的权重系数,客观合理地解决了权重分配问题,并通过关联函数值与关联度的计算最终判定评价单元的地质灾害危险性等级。将该模型应用于陕西省安康市汉阴县的地质灾害实例分析,将评价结果与传统定权法评价结果进行比较,得出了与实际相符合的结论。验证了该模型在地质灾害危险性评价中的可行性。

To solve the uncertainty and incompatibility between quantitative and qualitative indicators in risk assessment of geological hazards,we establish the extension theory model for risk assessment of geological hazards combining with the entropy weight method.On the basis of matter-element model of the extension theory,the weight coefficients are calculated by using the entropy method which can accurately reflect the utility value of the data and properly solve the problem of weight allocation.Moreover,through calculating the correlation function value and relational degree,we determine the actual geological hazard grades of all evaluation units.We apply this model in Hanyin County of Shannxi Province and compare the evaluation results with those calculated by traditional weighting method,and get the results conforming to the facts.It is proved that the extension theory based on entropy weight is quite effective and available in risk assessment of geological hazards.