基于博弈论-改进的未确知测度理论的废弃矿井地下水污染风险评价

    Evaluation of groundwater pollution risk for abandoned mines based on game theory and improved uncertainty measure theory

    • 摘要: 针对未确知测度综合评价数学模型在权值确定和置信度识别中存在的缺陷,综合考虑废弃矿井地下水污染风险评价过程中存在许多随机和模糊不确定性,采用博弈论组合赋权和距离判别思想的置信度识别对未确知测度综合评价数学模型进行改进,构建了基于博弈论组合赋权的改进的未确知测度理论的废弃矿井地下水污染风险综合评价模型。该模型基于未确知测度理论构建了废弃矿井地下水污染风险评价指标体系中各评价指标的直线型未确知测度函数,采用博弈论赋权的方法对基于层次分析法求取的主观权重与熵值法求取的客观权重进行了优化,得出一种均衡主客观结果的最优权重,最后依照采用距离判别思想优化后的置信度识别准则对废弃矿井地下水污染风险进行了等级判定。应用该模型对淄博洪山-寨里废弃矿井进行了评价。研究结果表明,该方法评价结果能全面反映废弃矿井地下水污染的综合情况,具有较好的实用性,为今后废弃矿井地下水污染风险评价提供了一种新的思路。

       

      Abstract: In view of the defects of the uncertainty measure comprehensive evaluation mathematical model in the determination of weight value and the identification of confidence degree, on the basis of the analysis and research on many random and fuzzy uncertainties in the process of evaluation of the groundwater pollution risk for abandoned mines, the mathematical model for comprehensive evaluation of uncertainty measures is improved by using the combination weighting of game theory and the confidence recognition of distance discrimination, an improved uncertainty measure theory based on the combination weighting of game theory is proposed to evaluate the groundwater pollution risk in abandoned mines. In this model, the linear uncertainty measure function of each evaluation index in the evaluation of the groundwater pollution risk for abandoned mines is constructed based on uncertainty measure, the subjective weight based on analytic hierarchy process and the objective weight based on entropy method are optimized by game theory, and the optimal weight of index is determined. Optimization credible degree recognition criterion by distance discrimination is used to evaluate the groundwater pollution risk of abandoned mines. This model is applied for the evaluation of groundwater pollution risk in Hongshan-Zhaili abandoned coal mine. The results show that evaluation results reflect the comprehensive situation of underground pollution for abandoned mine, and has good practicability. It provides a new idea for the evaluation of groundwater pollution risk in abandoned mine.

       

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