Article(id=1156908031943467635, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1156907871645556837, articleNumber=null, orderNo=null, doi=10.12404/j.issn.1671-1815.2309307, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1701014400000, receivedDateStr=2023-11-27, revisedDate=1720454400000, revisedDateStr=2024-07-09, acceptedDate=null, acceptedDateStr=null, onlineDate=1753757969126, onlineDateStr=2025-07-29, pubDate=1737993600000, pubDateStr=2025-01-28, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1753757969126, onlineIssueDateStr=2025-07-29, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1753757969126, creator=13701087609, updateTime=1753757969126, updator=13701087609, issue=Issue{id=1156907871645556837, tenantId=1146029695717560320, journalId=1146123166801305609, year='2025', volume='25', issue='3', pageStart='879', pageEnd='1312', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=0, createTime=1753757930909, creator=13701087609, updateTime=1765095544280, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1204461268821320541, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1156907871645556837, language=EN, specialIssueTitle=, coverIllustrator=, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1204461268825514846, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1156907871645556837, language=CN, specialIssueTitle=, coverIllustrator=, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=1245, endPage=1252, ext={EN=ArticleExt(id=1156908033126261368, articleId=1156908031943467635, tenantId=1146029695717560320, journalId=1146123166801305609, language=EN, title=Risk Assessment Model of Highway Tunnel Collapse Based on Rough Set-grid Search-support Vector Classification, columnId=1156262728772735295, journalTitle=Science Technology and Engineering, columnName=Papers·Traffics and Transportations, runingTitle=null, highlight=null, articleAbstract=
In order to reasonably and efficiently carry out the risk assessment of road tunnel construction collapse, the risk assessment model of road tunnel construction collapse was studied by rough set (RS), grid search method(GS) and support vector classification (SVC). Firstly, the index system of highway tunnel construction collapse risk evaluation was constructed by integrating advanced geological prediction. At the same time, the information of 100 tunnel collapse cases was collected and the index data was discretized. Secondly, attribute reduction was conducted based on the condition information entropy of rough set to obtain the reduced core index set. Then, grid search method was used to find the optimal parameters of the support vector classification training set, the risk assessment model of highway tunnel construction collapse based on rough set-grid search-support vector classification (RS-GS-SVC) was established. Finally, the model was used to predict the test samples. The results show that under the condition of the same learning sample, compared with rough set-genetic algorithm-support vector classification (RS-GA-SVC) model and Rough set-particle swarm optimization-support vector classification (RS-PSO-SVC) model, RS-GS-SVC model has higher classification accuracy; Under the same proportion of training set and test set, the prediction accuracy of RS-GS-SVC model is higher than that of GS-SVC model, with the accuracy rates of 93.33% and 90% respectively, and the operation time of RS-GS-SVC model is shorter. It can clearly be seen that the model complexity is effectively reduced and the classification accuracy is improved through the reduction of rough set conditional information entropy attributes.
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为合理高效地进行公路隧道施工坍塌风险评估,通过粗糙集(rough set,RS)理论、网格搜索法(grid search,GS)和支持向量机(support vector classification,SVC)研究了公路隧道施工坍塌风险评估模型。首先融合超前地质预报,构建公路隧道施工坍塌风险评价指标体系,同时收集100个隧道坍塌相关案例信息并对指标数据进行离散化处理,其次基于粗糙集条件信息熵进行属性约简,得到约简后的核指标集,而后采用网格搜索法寻找支持向量分类训练集的最优参数,建立基于粗糙集-网格搜索-支持向量(RS-GS-SVC)公路隧道施工坍塌风险评估模型,最后将所建模型用于对测试样本的预测。结果表明:在相同学习样本的条件下,相较于粗糙集-遗传-支持向量模型(RS-GA-SVC)和粗糙集-粒子群-支持向量模型(RS-PSO-SVC),RS-GS-SVC模型具有更高的分类精度;在训练集与测试集比例相同的条件下,RS-GS-SVC模型的预测准确率高于GS-SVC模型,准确率分别为93.33%和90%,且RS-GS-SVC模型的运算时间更短。可见,经粗糙集条件信息熵属性约简,可以有效降低模型复杂度,提高分类精度。
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吴波(1971—),男,汉族,四川阆中人,博士,教授。研究方向:地下与隧道工程。E-mail:wubo@ecut.edu.cn。
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吴波(1971—),男,汉族,四川阆中人,博士,教授。研究方向:地下与隧道工程。E-mail:wubo@ecut.edu.cn。
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Journal of Hunan University of Science and Technology (Natural Science Edition),
2019,
34(2): 11-17., articleTitle=Prediction on coal spontaneous combustion risk for multi-coal based on SVM, refAbstract=null)], funds=[Fund(id=1204780270407889885, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, awardId=52168055, language=CN, fundingSource=国家自然科学基金(52168055), fundOrder=null, country=null), Fund(id=1204780270491775972, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, awardId=52278397, language=CN, fundingSource=国家自然科学基金(52278397), fundOrder=null, country=null), Fund(id=1204780270567273451, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, awardId=20212ACB204001, language=CN, fundingSource=江西省自然科学基金(20212ACB204001), fundOrder=null, country=null), Fund(id=1204780270663742446, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, awardId=jxsq2020101001, language=CN, fundingSource=江西省“双千计划”创新领军人才项目(jxsq2020101001), fundOrder=null, country=null), Fund(id=1204780270810543098, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, awardId=YC2022-B179, language=CN, fundingSource=江西省研究生创新专项基金(YC2022-B179), fundOrder=null, country=null)], companyList=[AuthorCompany(id=1204780260417057372, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, xref=null, ext=[AuthorCompanyExt(id=1204780260425445979, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, companyId=1204780260417057372, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=1. School of Civil and Architecture Engineering, East China University of Technology, Nanchang 330000, China), AuthorCompanyExt(id=1204780260429640284, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, companyId=1204780260417057372, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=1.东华理工大学土木与建筑工程学院, 南昌 330000)]), AuthorCompany(id=1204780260505137760, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, xref=null, ext=[AuthorCompanyExt(id=1204780260630966882, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, companyId=1204780260505137760, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=2. School of Water Resources and Environment Engineering, East China University of Technology, Nanchang 330000, China), AuthorCompanyExt(id=1204780260635161186, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, companyId=1204780260505137760, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=2.东华理工大学水资源与环境工程学院, 南昌 330000)])], figs=[ArticleFig(id=1204780264909157184, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Fig.1, caption=
Flow chart of the attribute reduction algorithm, figureFileSmall=dhtp4/0bEVMJzvCwMYZICg==, figureFileBig=+sA3rlXNuJnSZ4b07fiuGA==, tableContent=null), ArticleFig(id=1204780265014014788, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=图1, caption=
属性约简算法流程图, figureFileSmall=dhtp4/0bEVMJzvCwMYZICg==, figureFileBig=+sA3rlXNuJnSZ4b07fiuGA==, tableContent=null), ArticleFig(id=1204780265181786960, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Fig.2, caption=
Flow chart of tunnel construction collapse risk assessment model based on RS-GS-SVC highway, figureFileSmall=O2IbOfn7+myApHfbGqiPSw==, figureFileBig=36PVPVtsngkge8ZQOF3jYQ==, tableContent=null), ArticleFig(id=1204780265274061654, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=图2, caption=
基于RS-GS-SVC公路隧道施工坍塌风险评估模型流程图, figureFileSmall=O2IbOfn7+myApHfbGqiPSw==, figureFileBig=36PVPVtsngkge8ZQOF3jYQ==, tableContent=null), ArticleFig(id=1204780265387307868, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Fig.3, caption=
Results results of grid search method, figureFileSmall=ldYp62O2lgVpo22DN/vb2w==, figureFileBig=TFLLAisk1U4Ax4J9jcDVqw==, tableContent=null), ArticleFig(id=1204780265513136995, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=图3, caption=
网格搜索法参数寻优结果图, figureFileSmall=ldYp62O2lgVpo22DN/vb2w==, figureFileBig=TFLLAisk1U4Ax4J9jcDVqw==, tableContent=null), ArticleFig(id=1204780265638966125, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Fig.4, caption=
Test the sample prediction results, figureFileSmall=ebi+2CtPBUS73SV7u3EFyg==, figureFileBig=gZMitHY9P58hB892QCcGNg==, tableContent=null), ArticleFig(id=1204780265836098428, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=图4, caption=
测试样本预测结果, figureFileSmall=ebi+2CtPBUS73SV7u3EFyg==, figureFileBig=gZMitHY9P58hB892QCcGNg==, tableContent=null), ArticleFig(id=1204780265932567427, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Table 1, caption=
Collapse grade classification table
, figureFileSmall=null, figureFileBig=null, tableContent=
| 坍塌等级 | Ⅰ(无坍塌) | Ⅱ(小坍塌) | Ⅲ(中坍塌) | Ⅳ(大坍塌) |
| 坍塌高度/m | — | <3 | [3,6] | >6 |
| 坍塌体积/m3 | — | <30 | [30,100] | >100 |
), ArticleFig(id=1204780266062590857, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=表1, caption=
坍塌等级划分表
, figureFileSmall=null, figureFileBig=null, tableContent=
| 坍塌等级 | Ⅰ(无坍塌) | Ⅱ(小坍塌) | Ⅲ(中坍塌) | Ⅳ(大坍塌) |
| 坍塌高度/m | — | <3 | [3,6] | >6 |
| 坍塌体积/m3 | — | <30 | [30,100] | >100 |
), ArticleFig(id=1204780266171642766, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Table 2, caption=
Classification table of risk indicators
, figureFileSmall=null, figureFileBig=null, tableContent=
| 指标体系 | 指标等级 |
| Ⅰ | Ⅱ | Ⅲ | Ⅳ |
工程地质 因素B1 | C1围岩等级([BQ]值) | Ⅱ >450 | Ⅲ (350,450] | Ⅳ (250,350] | Ⅴ、Ⅵ ≤250 |
| C2偏压/(°) | <10 | [10,25) | [25,40) | ≥40 |
| C3断层破碎带/m | 宽度<2 | 2≤宽度<5 | 5≤宽度<10 | 宽度≥10 |
| C4不良地质 | 不致灾 (75,100] | 轻微致灾 (50,75] | 中度致灾 (25,50] | 严重致灾[0,25] |
勘察设计 因素B2 | C5开挖跨度/m | <7 | [7,10) | [10,14) | ≥14 |
| C6深高比(H0/H) | >20 | (15,20] | (10,15] | ≤10 |
| C7开挖方法 | 交叉中隔壁法 | 中隔壁法 | 台阶法 | 全断面法 |
| C8地质勘察准确性/% | >90 | (75,90] | (60,75] | ≤60 |
| C9初期支护刚度* | >2 | (1,2] | (0.5,1] | ≤0.5 |
施工管理 因素B3 | C10初期支护及时性/% | 及时 (75,100] | 基本及时 (50,75] | 不及时 (25,50] | 非常不及时 [0,25] |
| C11地层加固措施 | 全断面帷幕注浆 加管棚超前支护 | 管棚超前支护 | 超前小导管支护 | 超前锚杆支护 |
| C12防排水措施/% | 合理 (75,100] | 基本合理 (50,75] | 不合理 (25,50] | 非常不合理 [0,25] |
| C13爆破振动/% | 合理 (75,100] | 基本合理 (50,75] | 不合理 (25,50] | 非常不合理 [0,25] |
| C14监控量测频率/(次·d-1) | ≥4 | 3 | 2 | ≤1 |
| C15现场管理/% | >90 | (75,90] | (60,75] | ≤60 |
C16超前 地质预报 | 地震波 反射法 | vl不变或小幅度变化; ar<0.06; sw<0.2 | vl小幅度变化; ar<0.06; 0.2<sw<0.6 | vl小幅度变化; 0.06<ar<0.08; 0.2<sw<0.6 | vl大幅度降低; ar<0.08; sw>0.6 |
地质雷 达法 | 掌子面围岩较好时,探测波形图深浅部同相轴分布基本一致,且无低频现象 | 掌子面围岩较好时,探测深度内仅局部出现富水、节理裂隙密集异常,围岩向差,有时出现低频 | 掌子面围岩较好时,探测深度内出现强烈富水、节理裂隙密集或溶蚀裂隙灯异常,围岩向差,一般出现低频 | 掌子面围岩较好时,探测深度内出现断层破碎带、溶洞等异常,一般出现低频 |
), ArticleFig(id=1204780266280694675, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=表2, caption=
风险指标等级划分表
, figureFileSmall=null, figureFileBig=null, tableContent=
| 指标体系 | 指标等级 |
| Ⅰ | Ⅱ | Ⅲ | Ⅳ |
工程地质 因素B1 | C1围岩等级([BQ]值) | Ⅱ >450 | Ⅲ (350,450] | Ⅳ (250,350] | Ⅴ、Ⅵ ≤250 |
| C2偏压/(°) | <10 | [10,25) | [25,40) | ≥40 |
| C3断层破碎带/m | 宽度<2 | 2≤宽度<5 | 5≤宽度<10 | 宽度≥10 |
| C4不良地质 | 不致灾 (75,100] | 轻微致灾 (50,75] | 中度致灾 (25,50] | 严重致灾[0,25] |
勘察设计 因素B2 | C5开挖跨度/m | <7 | [7,10) | [10,14) | ≥14 |
| C6深高比(H0/H) | >20 | (15,20] | (10,15] | ≤10 |
| C7开挖方法 | 交叉中隔壁法 | 中隔壁法 | 台阶法 | 全断面法 |
| C8地质勘察准确性/% | >90 | (75,90] | (60,75] | ≤60 |
| C9初期支护刚度* | >2 | (1,2] | (0.5,1] | ≤0.5 |
施工管理 因素B3 | C10初期支护及时性/% | 及时 (75,100] | 基本及时 (50,75] | 不及时 (25,50] | 非常不及时 [0,25] |
| C11地层加固措施 | 全断面帷幕注浆 加管棚超前支护 | 管棚超前支护 | 超前小导管支护 | 超前锚杆支护 |
| C12防排水措施/% | 合理 (75,100] | 基本合理 (50,75] | 不合理 (25,50] | 非常不合理 [0,25] |
| C13爆破振动/% | 合理 (75,100] | 基本合理 (50,75] | 不合理 (25,50] | 非常不合理 [0,25] |
| C14监控量测频率/(次·d-1) | ≥4 | 3 | 2 | ≤1 |
| C15现场管理/% | >90 | (75,90] | (60,75] | ≤60 |
C16超前 地质预报 | 地震波 反射法 | vl不变或小幅度变化; ar<0.06; sw<0.2 | vl小幅度变化; ar<0.06; 0.2<sw<0.6 | vl小幅度变化; 0.06<ar<0.08; 0.2<sw<0.6 | vl大幅度降低; ar<0.08; sw>0.6 |
地质雷 达法 | 掌子面围岩较好时,探测波形图深浅部同相轴分布基本一致,且无低频现象 | 掌子面围岩较好时,探测深度内仅局部出现富水、节理裂隙密集异常,围岩向差,有时出现低频 | 掌子面围岩较好时,探测深度内出现强烈富水、节理裂隙密集或溶蚀裂隙灯异常,围岩向差,一般出现低频 | 掌子面围岩较好时,探测深度内出现断层破碎带、溶洞等异常,一般出现低频 |
), ArticleFig(id=1204780267476071321, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Table 3, caption=
Determination of the risk factors of construction collapse in a tunnel fault zone
, figureFileSmall=null, figureFileBig=null, tableContent=
| 风险因素 | 描述 | 因素等级 |
| C1围岩等级([BQ]值) | [BQ]<250 | Ⅳ |
| C2偏压/(°) | 15 | Ⅱ |
| C3断层破碎带/m | 断层破碎带宽度为9.6 m | Ⅲ |
| C4不良地质 | 轻微致灾 | Ⅱ |
| C5开挖跨度/m | 隧道开挖跨度为16.84 m | Ⅳ |
| C6深高比(H0/H) | 隧道深度为115 m,开挖高度为7.94 m,H0/H=14.48 | Ⅲ |
| C7开挖方法 | 中隔壁法开挖 | Ⅱ |
| C8地质勘察准确性/% | 93 | Ⅱ |
| C9初期支护刚度 | 初支撑由纵向距离为80 cm的20b工字钢拱架、Φ6 mm钢网、长度为3.5 m的 Φ20 mm锚杆以及厚度为28 cm的C25喷射混凝土组成 | Ⅲ |
| C10初期支护及时性 | 基本及时 | Ⅱ |
| C11地层加固措施 | 采用超前小导管支护 | Ⅲ |
| C12防排水措施/% | 基本合理 | Ⅱ |
| C13爆破振动 | 基本合理 | Ⅱ |
| C14监控量测频率/(次·d-1) | 监控量测频率为每天一次 | Ⅳ |
| C15现场管理/% | 85 | Ⅱ |
| C16超前地质预报 | 地质雷达探测深度内仅浅部有信号,深部信号微弱,出现低频,推测存在断层破碎带 | Ⅳ |
), ArticleFig(id=1204780267648037791, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=表3, caption=
隧道断裂带施工坍塌风险因素等级判定
, figureFileSmall=null, figureFileBig=null, tableContent=
| 风险因素 | 描述 | 因素等级 |
| C1围岩等级([BQ]值) | [BQ]<250 | Ⅳ |
| C2偏压/(°) | 15 | Ⅱ |
| C3断层破碎带/m | 断层破碎带宽度为9.6 m | Ⅲ |
| C4不良地质 | 轻微致灾 | Ⅱ |
| C5开挖跨度/m | 隧道开挖跨度为16.84 m | Ⅳ |
| C6深高比(H0/H) | 隧道深度为115 m,开挖高度为7.94 m,H0/H=14.48 | Ⅲ |
| C7开挖方法 | 中隔壁法开挖 | Ⅱ |
| C8地质勘察准确性/% | 93 | Ⅱ |
| C9初期支护刚度 | 初支撑由纵向距离为80 cm的20b工字钢拱架、Φ6 mm钢网、长度为3.5 m的 Φ20 mm锚杆以及厚度为28 cm的C25喷射混凝土组成 | Ⅲ |
| C10初期支护及时性 | 基本及时 | Ⅱ |
| C11地层加固措施 | 采用超前小导管支护 | Ⅲ |
| C12防排水措施/% | 基本合理 | Ⅱ |
| C13爆破振动 | 基本合理 | Ⅱ |
| C14监控量测频率/(次·d-1) | 监控量测频率为每天一次 | Ⅳ |
| C15现场管理/% | 85 | Ⅱ |
| C16超前地质预报 | 地质雷达探测深度内仅浅部有信号,深部信号微弱,出现低频,推测存在断层破碎带 | Ⅳ |
), ArticleFig(id=1204780267748701093, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Table 4, caption=
Decision information table
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| 编号 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | 等级 |
| 1 | 3 | 2 | 1 | 2 | 2 | 3 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 |
| 2 | 2 | 1 | 2 | 1 | 3 | 1 | 2 | 2 | 2 | 3 | 3 | 2 | 2 | 2 | 2 | 1 | 2 |
| 3 | 3 | 1 | 3 | 2 | 3 | 2 | 2 | 1 | 2 | 3 | 2 | 1 | 1 | 2 | 2 | 2 | 2 |
| 4 | 4 | 2 | 4 | 3 | 2 | 3 | 3 | 2 | 3 | 2 | 3 | 3 | 2 | 3 | 2 | 4 | 4 |
| 5 | 4 | 1 | 2 | 2 | 2 | 3 | 4 | 3 | 3 | 3 | 4 | 3 | 2 | 4 | 2 | 2 | 4 |
| 6 | 3 | 1 | 2 | 2 | 3 | 4 | 2 | 4 | 2 | 3 | 2 | 3 | 3 | 2 | 3 | 2 | 3 |
| 7 | 3 | 3 | 1 | 1 | 3 | 3 | 2 | 2 | 4 | 4 | 3 | 2 | 1 | 2 | 4 | 3 | 3 |
| 8 | 4 | 1 | 3 | 2 | 3 | 2 | 2 | 2 | 2 | 3 | 2 | 2 | 1 | 2 | 4 | 2 | 3 |
| 9 | 3 | 1 | 4 | 2 | 3 | 3 | 3 | 2 | 4 | 4 | 4 | 3 | 1 | 2 | 4 | 3 | 4 |
| 10 | 4 | 1 | 1 | 1 | 2 | 3 | 3 | 2 | 4 | 3 | 3 | 4 | 1 | 2 | 4 | 4 | 4 |
| 11 | 4 | 1 | 2 | 1 | 2 | 3 | 3 | 2 | 4 | 4 | 3 | 4 | 1 | 2 | 4 | 3 | 4 |
| 12 | 3 | 1 | 1 | 2 | 4 | 4 | 2 | 2 | 3 | 3 | 4 | 3 | 2 | 2 | 4 | 4 | 4 |
| 13 | 2 | 1 | 2 | 1 | 3 | 4 | 2 | 1 | 1 | 2 | 1 | 2 | 1 | 2 | 2 | 2 | 2 |
| 14 | 3 | 1 | 1 | 3 | 3 | 2 | 2 | 1 | 2 | 1 | 1 | 2 | 1 | 2 | 3 | 3 | 2 |
| 15 | 2 | 2 | 2 | 1 | 3 | 4 | 1 | 1 | 1 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 |
| 16 | 3 | 2 | 1 | 1 | 3 | 3 | 2 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 1 |
| 17 | 3 | 2 | 1 | 2 | 3 | 3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 3 | 1 |
| 18 | 2 | 1 | 1 | 2 | 2 | 3 | 3 | 1 | 1 | 1 | 2 | 2 | 1 | 1 | 3 | 2 | 1 |
| 19 | 3 | 2 | 1 | 1 | 4 | 4 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 2 | 2 | 1 |
| 20 | 2 | 1 | 1 | 2 | 4 | 4 | 2 | 2 | 3 | 2 | 3 | 3 | 1 | 3 | 3 | 2 | 3 |
| 21 | 4 | 1 | 2 | 1 | 2 | 4 | 1 | 4 | 2 | 3 | 2 | 2 | 2 | 2 | 3 | 3 | 3 |
| 22 | 3 | 1 | 2 | 1 | 3 | 1 | 2 | 4 | 3 | 4 | 3 | 2 | 1 | 2 | 3 | 3 | 3 |
| 23 | 4 | 1 | 2 | 2 | 3 | 4 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 3 | 1 | 2 |
| 24 | 3 | 2 | 1 | 1 | 3 | 2 | 3 | 1 | 2 | 3 | 2 | 3 | 2 | 1 | 3 | 2 | 2 |
| 25 | 3 | 1 | 2 | 2 | 3 | 4 | 1 | 1 | 2 | 2 | 1 | 2 | 1 | 2 | 3 | 2 | 2 |
| 26 | 2 | 1 | 1 | 2 | 3 | 1 | 3 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 1 |
| 27 | 3 | 1 | 4 | 1 | 3 | 4 | 3 | 3 | 4 | 4 | 4 | 3 | 1 | 2 | 4 | 4 | 4 |
| 28 | 3 | 1 | 3 | 4 | 3 | 3 | 1 | 3 | 2 | 4 | 2 | 2 | 1 | 2 | 4 | 4 | 3 |
| 29 | 3 | 1 | 2 | 1 | 3 | 4 | 2 | 4 | 2 | 4 | 3 | 2 | 1 | 2 | 3 | 2 | 3 |
| 30 | 2 | 4 | 3 | 2 | 3 | 4 | 2 | 2 | 3 | 4 | 2 | 2 | 4 | 3 | 4 | 2 | 3 |
), ArticleFig(id=1204780267891307440, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=表4, caption=
决策信息表
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| 编号 | C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | C11 | C12 | C13 | C14 | C15 | C16 | 等级 |
| 1 | 3 | 2 | 1 | 2 | 2 | 3 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 |
| 2 | 2 | 1 | 2 | 1 | 3 | 1 | 2 | 2 | 2 | 3 | 3 | 2 | 2 | 2 | 2 | 1 | 2 |
| 3 | 3 | 1 | 3 | 2 | 3 | 2 | 2 | 1 | 2 | 3 | 2 | 1 | 1 | 2 | 2 | 2 | 2 |
| 4 | 4 | 2 | 4 | 3 | 2 | 3 | 3 | 2 | 3 | 2 | 3 | 3 | 2 | 3 | 2 | 4 | 4 |
| 5 | 4 | 1 | 2 | 2 | 2 | 3 | 4 | 3 | 3 | 3 | 4 | 3 | 2 | 4 | 2 | 2 | 4 |
| 6 | 3 | 1 | 2 | 2 | 3 | 4 | 2 | 4 | 2 | 3 | 2 | 3 | 3 | 2 | 3 | 2 | 3 |
| 7 | 3 | 3 | 1 | 1 | 3 | 3 | 2 | 2 | 4 | 4 | 3 | 2 | 1 | 2 | 4 | 3 | 3 |
| 8 | 4 | 1 | 3 | 2 | 3 | 2 | 2 | 2 | 2 | 3 | 2 | 2 | 1 | 2 | 4 | 2 | 3 |
| 9 | 3 | 1 | 4 | 2 | 3 | 3 | 3 | 2 | 4 | 4 | 4 | 3 | 1 | 2 | 4 | 3 | 4 |
| 10 | 4 | 1 | 1 | 1 | 2 | 3 | 3 | 2 | 4 | 3 | 3 | 4 | 1 | 2 | 4 | 4 | 4 |
| 11 | 4 | 1 | 2 | 1 | 2 | 3 | 3 | 2 | 4 | 4 | 3 | 4 | 1 | 2 | 4 | 3 | 4 |
| 12 | 3 | 1 | 1 | 2 | 4 | 4 | 2 | 2 | 3 | 3 | 4 | 3 | 2 | 2 | 4 | 4 | 4 |
| 13 | 2 | 1 | 2 | 1 | 3 | 4 | 2 | 1 | 1 | 2 | 1 | 2 | 1 | 2 | 2 | 2 | 2 |
| 14 | 3 | 1 | 1 | 3 | 3 | 2 | 2 | 1 | 2 | 1 | 1 | 2 | 1 | 2 | 3 | 3 | 2 |
| 15 | 2 | 2 | 2 | 1 | 3 | 4 | 1 | 1 | 1 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 |
| 16 | 3 | 2 | 1 | 1 | 3 | 3 | 2 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 1 |
| 17 | 3 | 2 | 1 | 2 | 3 | 3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 3 | 1 |
| 18 | 2 | 1 | 1 | 2 | 2 | 3 | 3 | 1 | 1 | 1 | 2 | 2 | 1 | 1 | 3 | 2 | 1 |
| 19 | 3 | 2 | 1 | 1 | 4 | 4 | 1 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 2 | 2 | 1 |
| 20 | 2 | 1 | 1 | 2 | 4 | 4 | 2 | 2 | 3 | 2 | 3 | 3 | 1 | 3 | 3 | 2 | 3 |
| 21 | 4 | 1 | 2 | 1 | 2 | 4 | 1 | 4 | 2 | 3 | 2 | 2 | 2 | 2 | 3 | 3 | 3 |
| 22 | 3 | 1 | 2 | 1 | 3 | 1 | 2 | 4 | 3 | 4 | 3 | 2 | 1 | 2 | 3 | 3 | 3 |
| 23 | 4 | 1 | 2 | 2 | 3 | 4 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 3 | 1 | 2 |
| 24 | 3 | 2 | 1 | 1 | 3 | 2 | 3 | 1 | 2 | 3 | 2 | 3 | 2 | 1 | 3 | 2 | 2 |
| 25 | 3 | 1 | 2 | 2 | 3 | 4 | 1 | 1 | 2 | 2 | 1 | 2 | 1 | 2 | 3 | 2 | 2 |
| 26 | 2 | 1 | 1 | 2 | 3 | 1 | 3 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 1 |
| 27 | 3 | 1 | 4 | 1 | 3 | 4 | 3 | 3 | 4 | 4 | 4 | 3 | 1 | 2 | 4 | 4 | 4 |
| 28 | 3 | 1 | 3 | 4 | 3 | 3 | 1 | 3 | 2 | 4 | 2 | 2 | 1 | 2 | 4 | 4 | 3 |
| 29 | 3 | 1 | 2 | 1 | 3 | 4 | 2 | 4 | 2 | 4 | 3 | 2 | 1 | 2 | 3 | 2 | 3 |
| 30 | 2 | 4 | 3 | 2 | 3 | 4 | 2 | 2 | 3 | 4 | 2 | 2 | 4 | 3 | 4 | 2 | 3 |
), ArticleFig(id=1204780268008747958, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Table 5, caption=
Attribute set C conditional information entropy table
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| 条件属性 | 条件信息熵 | 条件属性 | 条件信息熵 |
| C | 0 | C8 | 0.198 4 |
| C9 | 0.119 4 | C1 | 0.211 8 |
| C16 | 0.130 8 | C6 | 0.216 8 |
| C11 | 0.135 4 | C3 | 0.235 4 |
| C10 | 0.152 0 | C4 | 0.254 8 |
| C14 | 0.164 2 | C5 | 0.288 2 |
| C15 | 0.164 2 | C2 | 0.348 8 |
| C7 | 0.184 0 | C13 | 0.381 0 |
| C12 | 0.187 6 | | |
), ArticleFig(id=1204780268101022656, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=表5, caption=
属性集C条件信息熵表
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| 条件属性 | 条件信息熵 | 条件属性 | 条件信息熵 |
| C | 0 | C8 | 0.198 4 |
| C9 | 0.119 4 | C1 | 0.211 8 |
| C16 | 0.130 8 | C6 | 0.216 8 |
| C11 | 0.135 4 | C3 | 0.235 4 |
| C10 | 0.152 0 | C4 | 0.254 8 |
| C14 | 0.164 2 | C5 | 0.288 2 |
| C15 | 0.164 2 | C2 | 0.348 8 |
| C7 | 0.184 0 | C13 | 0.381 0 |
| C12 | 0.187 6 | | |
), ArticleFig(id=1204780268197491656, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=EN, label=Table 6, caption=
Comparison of the optimized model classification accuracy results
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参数寻 优方法 | 交叉验证下 分类准确率/% | c | g | 时间/s |
| RS-GS-SVC | 94.285 7 | 5.656 9 | 0.062 5 | 3.766 0 |
| RS-GA-SVC | 91.428 6 | 1.899 0 | 0.288 2 | 6.256 9 |
| RS-PSO-SVC | 92.857 1 | 5.918 7 | 0.100 0 | 14.967 9 |
), ArticleFig(id=1204780268319126475, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1156908031943467635, language=CN, label=表6, caption=
优化模型分类准确率结果对比
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参数寻 优方法 | 交叉验证下 分类准确率/% | c | g | 时间/s |
| RS-GS-SVC | 94.285 7 | 5.656 9 | 0.062 5 | 3.766 0 |
| RS-GA-SVC | 91.428 6 | 1.899 0 | 0.288 2 | 6.256 9 |
| RS-PSO-SVC | 92.857 1 | 5.918 7 | 0.100 0 | 14.967 9 |
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