第36卷第8期 北京科技大学学报 Vol.36 No.8 2014年8月 Journal of University of Science and Technology Beijing Aug.2014 采矿方法优选多目标决策一致性组合权重研究及应用 谭玉叶12，宋卫东123四，李铁一》，夏鸿》 1)北京科技大学土木与环境工程学院，北京1000832)北京科技大学金属矿山高效开采与安全教育部重点实验室，北京100083 3)武钢矿业公司金山店铁和矿，武汉430080 ☒通信作者，E-mail:luobiha435@163.com 摘要以金山店铁矿充填采矿法优选为工程背景，将采矿方法优选视为多目标决策的系统工程问题来处理.综合考虑技 术、经济、资源利用、劳动效率、安全、环境等多方面因素，构建了较为全面的采矿方法优选多目标决策指标体系。分别采用层 次分析法、模糊判断矩阵及Delphi法对决策指标进行赋权，得到了三组单一权重.在此基础上，通过Kendall非参数检验及 Spearman等级相关性分析，确定了各赋权方法的相关程度，得到了较为合理的采矿方法优选多目标决策指标的组合权重，并 基于组合权重，采用模糊多目标决策确定了最优采矿方法为分段空场嗣后充填法.本文采用的组合权重赋权方法较好地解决 了多目标决策时指标权重的分配问题，提高了采矿方法优选指标权重确定的合理性及科学性. 关键词采矿方法：优选：多目标决策分析：权重 分类号TD853 Application and research on consistency combination weights for mining method optimization by multi-objective decision TAN Yu-ye2,S0 NG Wei-dong'2g,LI Tie-yi》,XIA Hong》 1)School of Civil and Environmental Engineering,University of Science and Technology Beijing,Beijing 100083,China 2)Key Laboratory of High-Efficient Mining and Safety of Metal Mines (Ministry of Education),University of Science and Technology Beijing,Beijing 100083,China 3)Jinshandian Iron Mine,Wuhan Iron Steel Group Minerals Co.Ltd.,Wuhan 430080,China Corresponding author,E-mail:luobiha435@163.com ABSTRACT Mining method selection was handled as a system engineering problem with multi-objective decision-making.First,a comprehensive multi-objective decision-making index system for mining method optimization was built in consideration of technical fea- sibility,economic benefit,resource utilization,labor productivity,safety and environment factors.Then,the analytic hierarchy process,fuzzy judgment matrix and Delphi method were used to get three groups of single weights for the decision-making index system. On this basis,a group of reasonable combination weights were determined through Kendall nonparametric test and Spearman rank corre- lation analysis.This provides a better solution for weight distribution in multi-objective decision-making,and can improve the rationali- ty and scientificity of weight-determining methods for the decision-making index system.Finally,Jinshandian iron mine was taken as a case study on mining method selection,and the optimal mining method,sublevel open stope with backfill,was determined by this com- bination weight and fuzzy multi-objective decision-making method. KEY WORDS mining methods:optimization:multi-objective decision analysis:weights 采矿方法的选择是地下金属矿床开采设计中最 益和矿产资源的回收利用程度0：而采矿方法的选 核心的内容，其选择正确与否直接影响矿山经济效 择受到多种因素的影响制约，不仅涉及技术经济、资 收稿日期：2013-08-12 基金项目：国家自然科学基金资助项目(51274023)：高等学校博士学科点专项科研基金资助项目(20120006110022) DOI:10.13374/j.issn1001-053x.2014.08.019:http://journals.ustb.edu.cn第 36 卷 第 8 期 2014 年 8 月 北京科技大学学报 Journal of University of Science and Technology Beijing Vol． 36 No． 8 Aug． 2014 采矿方法优选多目标决策一致性组合权重研究及应用 谭玉叶1，2) ，宋卫东1，2) ，李铁一3) ，夏 鸿3) 1) 北京科技大学土木与环境工程学院，北京 100083 2) 北京科技大学金属矿山高效开采与安全教育部重点实验室，北京 100083 3) 武钢矿业公司金山店铁矿，武汉 430080  通信作者，E-mail: luobiha435@ 163． com 摘 要 以金山店铁矿充填采矿法优选为工程背景，将采矿方法优选视为多目标决策的系统工程问题来处理． 综合考虑技 术、经济、资源利用、劳动效率、安全、环境等多方面因素，构建了较为全面的采矿方法优选多目标决策指标体系． 分别采用层 次分析法、模糊判断矩阵及 Delphi 法对决策指标进行赋权，得到了三组单一权重． 在此基础上，通过 Kendall 非参数检验及 Spearman 等级相关性分析，确定了各赋权方法的相关程度，得到了较为合理的采矿方法优选多目标决策指标的组合权重，并 基于组合权重，采用模糊多目标决策确定了最优采矿方法为分段空场嗣后充填法． 本文采用的组合权重赋权方法较好地解决 了多目标决策时指标权重的分配问题，提高了采矿方法优选指标权重确定的合理性及科学性． 关键词 采矿方法; 优选; 多目标决策分析; 权重 分类号 TD 853 Application and research on consistency combination weights for mining method optimization by multi-objective decision TAN Yu-ye1，2) ，SONG Wei-dong1，2)  ，LI Tie-yi3) ，XIA Hong3) 1) School of Civil and Environmental Engineering，University of Science and Technology Beijing，Beijing 100083，China 2) Key Laboratory of High-Efficient Mining and Safety of Metal Mines ( Ministry of Education) ，University of Science and Technology Beijing，Beijing 100083，China 3) Jinshandian Iron Mine，Wuhan Iron ＆ Steel Group Minerals Co． Ltd． ，Wuhan 430080，China  Corresponding author，E-mail: luobiha435@ 163． com ABSTＲACT Mining method selection was handled as a system engineering problem with multi-objective decision-making． First，a comprehensive multi-objective decision-making index system for mining method optimization was built in consideration of technical fea￾sibility，economic benefit，resource utilization，labor productivity，safety and environment factors． Then，the analytic hierarchy process，fuzzy judgment matrix and Delphi method were used to get three groups of single weights for the decision-making index system． On this basis，a group of reasonable combination weights were determined through Kendall nonparametric test and Spearman rank corre￾lation analysis． This provides a better solution for weight distribution in multi-objective decision-making，and can improve the rationali￾ty and scientificity of weight-determining methods for the decision-making index system． Finally，Jinshandian iron mine was taken as a case study on mining method selection，and the optimal mining method，sublevel open stope with backfill，was determined by this com￾bination weight and fuzzy multi-objective decision-making method． KEY WOＲDS mining methods; optimization; multi-objective decision analysis; weights 收稿日期: 2013--08--12 基金项目: 国家自然科学基金资助项目( 51274023) ; 高等学校博士学科点专项科研基金资助项目( 20120006110022) DOI: 10． 13374 /j． issn1001--053x． 2014． 08． 019; http: / /journals． ustb． edu． cn 采矿方法的选择是地下金属矿床开采设计中最 核心的内容，其选择正确与否直接影响矿山经济效 益和矿产资源的回收利用程度［1］; 而采矿方法的选 择受到多种因素的影响制约，不仅涉及技术经济、资