GRA-SPA熵权决策模型在冲击地压风险评价中的应用
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摘要
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.
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.
引文
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[11]任红岗,谭卓英,王海军.基于集对分析—灰色关联理论的采空区处理多属性方案综合评价[J].有色金属:矿山部分,2016,68(2):15-20.REN Honggang,TAN Zhuoying,WANG Haijun.Comprehensive evaluation of multi-attribute schemes for goaf treatment based on set pair analysis and gray relational theory[J].Nonferrous Metals:Mining Section,2016,68(2):15-20.
[2]史俊伟,朱学军,孙熙正.巨厚砾岩诱发冲击地压相似材料模拟试验研究[J].中国安全科学学报,2013,23(2):117-122.SHI Junwei,ZHU Xuejun,SUN Xizheng.Study on the simulated test of the compressive force of heavy conglomerate[J].China Safety Science Journal,2013,23(2):117-122.
[3]吕鹏飞,陈学华.煤岩“震-冲”动力系统冲击失稳致灾机制研究[J].中国安全科学学报,2017,27(4):145-150.LYU Pengfei,CHEN Xuehua.Research on instability mechanism of coal and rock"shock bump-rock burst"dynamic system[J].China Safety Science Journal,2017,27(4):145-150.
[4]史俊伟,孟祥瑞,陈章良,等.巨厚砾岩下冲击地压发生机理及加固技术研究[J].中国安全生产科学技术,2017,13(12):118-124.SHI Junwei,MENG Xiangrui,CHEN Zhangliang,et al.Study on occurrence mechanism and reinforcement technology of rock burst under super thick conglomerate[J].Journal of Safety Science and Technology,2017,13(12):118-124.
[5]尹永明,张兴凯,周建新,等.基于模糊综合评判的冲击地压危险性分区预评价技术研究[J].中国安全生产科学技术,2017,13(3):180-185.YIN Yongming,ZHANG Xingkai,ZHOU Jianxin,et al.Study on zoning pre-evaluation technology of rock burst risk based on fuzzy comprehensive evaluation[J].Journal of Safety Science and Technology,2017,13(3):180-185.
[6]金佩剑,王恩元,刘晓斐,等.冲击地压危险性综合评价的突变级数法研究[J].采矿与安全工程学报,2013,30(2):256-261.JIN Peijian,WANG Enyuan,LIU Xiaofei,et al.Catastrophe progression method on comprehensive evaluation of rock burst[J].Journal of Mining and Safety Engineering,2013,30(2):256-261.
[7]朱峰,张宏伟.基于“AHP+熵权法”的CW-TOPSIS冲击地压评判模型[J].中国安全科学学报,2017,27(1):128-133.ZHU Feng ZHANG Hongwei."AHP+entropy weight method"based CW-TOPSIS model for predicting rockburst[J].China Safety Science Journal,2017,27(1):128-133.
[8]唐鸣东,史秀志,周健,等.基于CFOA-GRNN的冲击地压危险等级预测[J].中国安全科学学报,2016,26(12):110-115.TANG Mingdong,SHI Xiuzhi,ZHOU Jian,et al.Prediction of rock-burst risk rating based on CFOA-GRNN network[J].China Safety Science Journal,2016,26(12):110-115.
[9]温廷新,于凤娥.基于NRS-ACPSO-SVM的冲击地压危险性预测模型[J].中国安全科学学报,2017,27(10):19-25.WEN Tingxin,YU Feng'e.NRS-ACPSO-SVM based model for prediction of rock burst risk[J].China Safety Science Journal,2017,27(10):19-25.
[10]王彦彬,孙韶光.基于网格搜索和ELM的冲击地压危险等级预测[J].中国安全科学学报,2017,27(8):97-101.WANG Yanbin,SUN Shaoguang.Prediction of rock burst risk rating based on grid search and ELM[J].China Safety Science Journal,2017,27(8):97-101.
[11]任红岗,谭卓英,王海军.基于集对分析—灰色关联理论的采空区处理多属性方案综合评价[J].有色金属:矿山部分,2016,68(2):15-20.REN Honggang,TAN Zhuoying,WANG Haijun.Comprehensive evaluation of multi-attribute schemes for goaf treatment based on set pair analysis and gray relational theory[J].Nonferrous Metals:Mining Section,2016,68(2):15-20.