A Cause Analysis of Extraordinarily Severe Traffic Crashes Based on T-S Fuzzy Fault Tree and Bayesian Network
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摘要: 重特大交通事故是最严重的交通事故类型, 为了识别此类事故的主要致因, 融合T-S模糊故障树和贝叶斯网络对其进行深入分析。建立了以重特大交通事故为顶事件, 人、车、路、环境4个因素为中间事件, 24个子因素为基本事件的T-S模糊故障树, 将其转化为贝叶斯网络, 进而双向推理基本事件的重要度和后验概率, 确定主要致因。结果表明: 融合T-S模糊故障树与贝叶斯网络的方法通过正、反向推理提高了重特大交通事故成因分析结果的准确性和可靠性, 确定了操作不当、超速、防护设施不完善、弯坡组合、路面湿滑、未按规定行驶为重特大交通事故的6个主要致因, 并对这6个主要致因之间的组合关系进一步分析, 得到了操作不当和超速对于重特大交通事故更为关键。Abstract: The T-S fuzzy fault tree and Bayesian network are integrated for an in-depth analysis to identify the main causes of extraordinarily severe traffic crashes. A T-S fuzzy fault tree is established, with the extraordinarily severe traffic crash taken as the top event, the human, vehicle, road, and environmental factors taken as the intermediate events, and 24 sub-factors taken as the basic events. The fuzzy fault tree is transformed into a Bayesian network, and the importance and posterior probability of the basic events can be inferred biaxially to determine the main causes. The results show that the method of fusing T-S fuzzy fault tree and Bayesian network can improve the accuracy and reliability of the analysis results of the causes of extraordinarily severe traffic crashes through forward and reverse reasoning and can determine improper operation, speeding, imperfect protection facilities, and bending. Slope combination, slippery road surface, and failure to drive following regulations are the six major causes of extraordinarily severe traffic crashes. The six major causes are analyzed, revealing that improper operation and speeding are more critical for extraordinarily severe traffic crashes.
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表 1 重特大交通事故影响因素数据汇总
Table 1. Summary of factors influencing extraordinarily severe traffic crashes
因素分类/编码 子因素/编码 频数 人的因素/y1 不良状态/y5 疲劳驾驶/x1 13 酒、毒驾/x2 5 无证驾驶或与准驾车型不符/x3 29 注意力不集中/x4 16 不良行为/y6 超载/x5 99 超速/x6 92 操作不当/x7 94 未按规定行驶/x8 77 车辆因素/y2 机械故障/y7 制动不良/x9 42 转向失控/x10 20 其他 机件质量问题/x11 28 非法改装/x12 12 道路因素/y3 不良线形/y8 平面转弯路段/x14 13 坡道路段/x15 22 弯坡组合路段/x15 51 路面不良 路面湿滑/x16 50 状态/y9 施工路段/x17 16 防护设施 防护设施不完善/x18 51 隐患/y10 标志标线不完善/x19 63 环境因素/y4 不良天气/y11 雨/x20 28 雪/x21 8 雾/x22 13 其他 夜间无照明/x23 17 视线障碍/x24 8 表 2 根节点状态概率模糊子集
Table 2. Fuzzy subset of the state probability of root nodes
节点 $\tilde{P}\left(x_{i}=0\right)$ $\tilde{P}\left(x_{i}=0.5\right)$ $\tilde{P}\left(x_{i}=1\right)$ x1 (0.958, 0.950, 0.943) (0.043, 0.050, 0.058) x2 (0.984, 0.981, 0.978) (0.016, 0.019, 0.022) x3 (0.907, 0.890, 0.874) (0.094, 0.110, 0.127) x4 (0.947, 0.938, 0.929) (0.053, 0.062, 0.071) x5 (0.674, 0.616, 0.558) (0.188, 0.221, 0.254) (0.139, 0.163, 0.187) x6 (0.697, 0.643, 0.589) (0.303, 0.357, 0.411) x7 (0.691, 0.636, 0.581) (0.043, 0.050, 0.058) x8 (0.747, 0.702, 0.657) (0.016, 0.019, 0.022) x9 (0.861, 0.837, 0.813) (0.056, 0.066, 0.076) (0.082, 0.097, 0.112) x10 (0.934, 0.922, 0.910) (0.066, 0.078, 0.090) x11 (0.907, 0.891, 0.875) (0.093, 0.109, 0.125) x12 (0.960, 0.953, 0.946) (0.040, 0.047, 0.054) x13 (0.927, 0.914, 0.901) (0.073, 0.086, 0.099) x14 (0.877, 0.855, 0.833) (0.123, 0.145, 0.167) x15 (0.714, 0.664, 0.614) (0.082, 0.097, 0.112) x16 (0.720, 0.671, 0.622) (0.066, 0.078, 0.090) x17 (0.911, 0.895, 0.879) (0.089, 0.105, 0.121) x18 (0.714, 0.664, 0.614) (0.286, 0.336, 0.386) x19 (0.647, 0.585, 0.523) (0.201, 0.237, 0.273) (0.151, 0.178, 0.205) x20 (0.844, 0.816, 0.788) (0.095, 0.112, 0.129) (0.061, 0.072, 0.083) x21 (0.956, 0.948, 0.940) (0.022, 0.026, 0.030) (0.022, 0.026, 0.030) x22 (0.928, 0.915, 0.902) (0.022, 0.026, 0.030) (0.050, 0.059, 0.068) x23 (0.905, 0.888, 0.871) (0.089, 0.105, 0.121) x24 (0.955, 0.947, 0.939) (0.286, 0.336, 0.386) 表 3 基本事件的关键重要度和模糊重要度
Table 3. Key importance and fuzzy importance of the basic event
基本事件 关键重要度 模糊重要度 后验概率 x1 0.000 49 0.009 67 0.050 56 x2 0.000 18 0.009 37 0.01921 x3 0.001 15 0.010 30 0.111 22 x4 0.000 61 0.009 79 0.062 69 x5 0.002 10 0.008 58 0.19367 x6 0.005 09 0.014 10 0.360 97 x7 0.005 23 0.014 21 0.368 05 x8 0.003 89 0.012 92 0.301 31 x9 0.000 78 0.008 26 0.082 29 x10 0.000 79 0.010 06 0.078 87 x11 0.001 15 0.010 40 0.110 21 x12 0.000 46 0.009 73 0.047 52 x13 0.000 86 0.009 92 0.086 96 x14 0.001 56 0.010 62 0.146 61 x15 0.004 63 0.013 62 0.339 73 x16 0.004 49 0.013 51 0.332 66 x17 0.001 08 0.010 16 0.106 17 x18 0.004 64 0.013 65 0.339 74 x19 0.002 38 0.008 69 0.209 29 x20 0.000 81 0.008 19 0.092 82 x21 0.000 21 0.007 80 0.026 24 x22 0.000 38 0.007 95 0.042 93 x23 0.001 18 0.010 44 0.113 25 x24 0.000 52 0.009 79 0.053 59 表 4 基本事件的关键重要度、模糊重要度、后验概率排序
Table 4. Critical importance, fuzzy importance, and posterior probability ranking of basic events
排序 关键重要度 模糊重要度 后验概率 1 x7 x7 x7 2 x6 x6 x6 3 x18 x18 x18 4 x15 x15 x15 5 x16 x16 x16 6 x8 x8 x8 7 x19 x14 x19 8 x5 x23 x5 9 x14 x11 x14 10 x23 x3 x23 11 x11 x17 x3 12 x3 x10 x11 13 x17 x13 x17 14 x13 x4 x20 15 x20 x24 x13 16 x10 x12 x9 17 x9 x1 x10 18 x4 x2 x4 19 x24 x19 x24 20 x1 x5 x1 21 x12 x9 x12 22 x22 x20 x22 23 x21 x22 x21 24 x2 x21 x2 -
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