GRA-SPA熵权决策模型在冲击地压风险评价中的应用

Application of GRA-SPA-EW decision model in evaluating risk of rock burst

为量化评价冲击地压风险,运用灰色关联（GRA）和集对分析（SPA）相关理论,构建基于GRA-SPA的熵权（EW）多属性决策模型。将各指标与危险等级通过建立集对,确定联系式,计算绝对关联度及综合联系度;采用EW法确定各指标权重,构建最佳和最差方案同一度矩阵,得到综合评价集,确定评判等级;选取某典型煤矿的5个工作面,评价各工作面的冲击地压风险。结果表明：该模型综合考虑评价对象各指标因子的同一性、差异性和对立性,将联系度系数量化,并通过EW多属性决策凸显评价对象的差异性。

To quantify risk of rock burst,a GRA-SPA-EW decision model was built,using the theories of GRA and SPA. A set of pairs for indicators and risk grades of rock burst was established,absolute relevance degrees and comprehensive contact degrees between them were calculated,and the hazard level of rock burst was determined. Then,the indexes ＇ weights of rock burst were determined by method of entropy weight,and an identical degree matrix of the most highly vulnerable area and lowest vulnerable area of rock burst was constructed,also its risk susceptibility was evaluated. Finally,a typical coal mine was taken as an example,five working faces were selected as research objects,and the risk of rock burst on each working face was evaluated. Results show that the model comprehensively considers the identity,difference,and opposition between index factors of the evaluation object,quantitatively analyzes the contact coefficients,and highlights the differences between evaluation objects through multi-attribute decision making of EW.