煤矿工作面安全状态评价指标赋权策略研究

王猛; 刘树林

doi:10.13272/j.issn.1671-251x.18148

煤矿工作面安全状态评价指标赋权策略研究

doi: 10.13272/j.issn.1671-251x.18148

王猛,
刘树林

西安科技大学机械工程学院，陕西西安　710054

基金项目: 国家重点研发计划项目（2023YFC3009800）。

详细信息

作者简介:
王猛（1972—），男，河南郑州人，博士研究生，主要研究方向为煤矿安全、煤质分析等，E-mail：wmeng1128@163.com

中图分类号: TD67
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出版历程
- 收稿日期: 2023-09-10
- 修回日期: 2024-02-18
- 网络出版日期: 2024-03-05

Research on weighting strategies for safety status evaluation indicators in coal mine working faces

College of Mechanical and Engineering, Xi'an University of Science and Technology, Xi'an 710054, China

摘要

摘要: 煤矿工作面安全状态精准评价可促进矿井安全管理水平和防灾抗灾能力提升。以CH₄浓度、CO₂浓度、CO浓度、O₂浓度、温度、风速6种工作面环境监测数据为评价指标，对工作面安全状态进行评价分析。为合理确定评价指标的权重，提高安全评价结果的准确性，采用模糊层次分析法（FAHP）计算评价指标的主观权重、G−GRITIC法计算指标的客观权重，通过基于改进博弈论（IGT）的组合赋权法将主观权重与客观权重结合，得出评价指标的组合权重，解决了决策过程中主客观信息不一致性问题。基于陕西黄陵二号煤矿有限公司209综采工作面安全监控系统采集数据，对基于IGT的组合赋权法进行实验验证，结果表明该方法有效避免了线性加权法、平均加权法的主观判断性，优化了基于博弈论（GT）的组合赋权法的偏差结果，得到的评价指标更加合理，可获得更加准确的煤矿工作面安全状态评价结果。
- 煤矿工作面 /
- 安全状态评价 /
- 评价指标赋权 /
- 主观权重 /
- 客观权重 /
- 组合赋权 /
- 博弈论
Abstract: Accurate evaluation of the safety status of the working face can promote the improvement of mine safety management level and disaster prevention and resilience. Using CH₄ concentration, CO₂ concentration, CO concentration, O₂ concentration, temperature, and wind speed as evaluation indicators, the safety status of the working face is evaluated and analyzed. To reasonably determine the weight of evaluation indicators and improve the accuracy of safety evaluation results, the fuzzy analytical hierarchy process(FAHP) is used to calculate the subjective weight of evaluation indicators, and the G-GRITIC method is used to calculate the objective weight of indicators. The combination weighting method based on improved game theory (IGT) combines subjective weight with objective weight to obtain the combination weight of evaluation indicators, solving the problem of inconsistent subjective and objective information in the decision-making process. Based on the data collected by the safety monitoring system of the 209 fully mechanized working face of Shaanxi Huangling No.2 Coal Mine Co., Ltd., experimental verification is conducted on the IGT based combination weighting method. The results show that this method effectively avoids the subjective judgment of linear weighting method and average weighting method, optimizes the deviation results of the game theory (GT) combination weighting method. It obtains more reasonable evaluation indicators, which can obtain more accurate evaluation results of the safety status of the coal mine working face.
- coal mine working face /
- safety status evaluation /
- evaluation indicators weighting /
- subjective weight /
- objective weight /
- combination weighting /
- game theory

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图 1 不同主观权重法计算结果对比曲线

Figure 1. Contrast curves of calculated results of different subjective weighting methods

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图 2 不同客观权重法计算结果对比曲线

Figure 2. Contrast curves of calculated results of different objective weighting methods

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图 3 不同组合赋权法计算结果对比曲线

Figure 3. Contrast curves of calculated results of different combined weighting methods

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图 4 不同赋权方法计算的指标权重对比曲线

Figure 4. Contrast curves of calculated index weight by different weighting methods

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图 5 不同赋权方法计算结果的相对贴近度

Figure 5. Relative paste progress of calculated results of different weighting methods

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表 1 FAHP评分

Table 1. Grade of fuzzy analytical hierarchy process（FAHP）

标度	定义	说明
0.1	绝对不重要	指标i比指标j绝对不重要
0.2	非常不重要	指标i比指标j非常不重要
0.3	比较不重要	指标i比指标j比较不重要
0.4	稍微不重要	指标i比指标j稍微不重要
0.5	同等重要	指标i比指标j同等重要
0.6	稍微重要	指标i比指标j稍微重要
0.7	比较重要	指标i比指标j比较重要
0.8	非常重要	指标i比指标j非常重要
0.9	绝对重要	指标i比指标j绝对重要

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表 2 工作面安全评价指标部分采样数据原始值

Table 2. Part original sample values of evaluation indexes for working face safety status

时间	CH₄体积分数/%	CO₂体积分数/%	CO体积分数/10⁻⁶	O₂体积分数/%	温度/℃	风速/（m·s⁻¹）
2022−06−01T00:00:00	0.402 1	0.102 1	8.046 0	20.023 4	23.520 0	1.615 2
2022−06−01T00:00:30	0.450 1	0.092 2	14.059 0	20.521 2	23.550 0	1.704 1
2022−06−01T00:01:00	0.451 0	0.020 3	12.212 0	20.812 0	23.430 0	1.702 2
2022−06−01T00:01:30	0.460 3	0.060 5	10.263 0	20.112 3	23.610 0	1.656 0
2022−06−01T00:02:00	0.500 4	0.024 8	8.185 0	20.503 0	23.560 0	1.705 8
2022−06−01T00:02:30	0.450 4	0.071 2	9.492 0	20.184 5	23.010 0	1.727 0
2022−06−01T00:03:00	0.401 2	0.032 6	11.563 0	20.512 7	23.530 0	1.684 1
2022−06−01T00:03:30	0.385 6	0.015 8	12.451 0	20.502 6	23.500 0	1.707 8
2022−06−01T00:04:00	0.384 2	0.091 1	13.459 0	20.905 8	23.970 0	1.752 6
2022−06−01T00:04:30	0.353 1	0.090 5	12.458 0	20.954 4	23.800 0	1.724 6

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表 3 各评价指标的Gini系数、信息系数、一般信息量

Table 3. Gini coefficient, information coefficient and general information coefficient of each evaluation index

指标	Gini系数	信息系数	一般信息量
CH₄浓度	0.112 752 96	4.973 292 52	0.560 753 48
CO₂浓度	0.057 725 47	4.958 896 51	0.286 254 61
CO浓度	0.125 007 33	4.973 873 11	0.621 770 60
O₂浓度	0.088 813 38	4.965 361 51	0.440 990 54
温度	0.119 377 41	4.960 061 89	0.592 119 36
风速	0.121 954 45	4.966 484 91	0.605 684 93

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表 4 各评价指标的组合权重

Table 4. Combined weight of each evaluation index

指标	组合权重	指标	组合权重
CH₄浓度	0.179	O₂浓度	0.156
CO₂浓度	0.155	温度	0.165
CO浓度	0.172	风速	0.173

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表 5 不同主观权重法计算结果

Table 5. Calculated results of different subjective weighting methods

指标	主观权重
指标	FAHP	AHP	优序图法	G1法
CH₄浓度	0.245	0.333	0.306	0.332
CO₂浓度	0.096	0.048	0.028	0.067
CO浓度	0.200	0.198	0.194	0.170
O₂浓度	0.101	0.061	0.083	0.087
温度	0.154	0.113	0.139	0.122
风速	0.205	0.246	0.250	0.222

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表 6 不同客观权重法计算结果

Table 6. Calculated results of different objective weighting methods

指标	客观权重
指标	G−CRITIC法	CRITIC法	变异系数法	熵权法
CH₄浓度	0.180	0.177	0.179	0.176
CO₂浓度	0.092	0.147	0.128	0.525
CO浓度	0.200	0.167	0.179	0.129
O₂浓度	0.142	0.159	0.151	0.013
温度	0.191	0.165	0.173	0.138
风速	0.195	0.184	0.189	0.019

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表 7 不同组合赋权法计算结果

Table 7. Calculated results of different combined weighting methods

指标	组合权重
指标	基于IGT法	基于GT法	平均加权法	线性加权法
CH₄浓度	0.179	0.263	0.213	0.226
CO₂浓度	0.155	0.095	0.094	0.095
CO浓度	0.172	0.197	0.200	0.200
O₂浓度	0.156	0.086	0.122	0.113
温度	0.165	0.138	0.173	0.165
风速	0.173	0.205	0.200	0.202

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