模糊层次分析法的改进及其在地铁施工风险评估中的应用  

Improvement of FAHP method and its application in subway construction risk assessment

作　　者：应国柱[1,2] 汪鹏程[1,2] 朱大勇[1,2] 张永亮[1,2] 秦榛 

机构地区：[1]合肥工业大学土木与水利工程学院,安徽合肥230009 [2]安徽省土木工程结构与材料省级实验室,安徽合肥230009 [3]合肥市轨道交通建设工程质量安全监督站,安徽合肥230001

出　　处：《合肥工业大学学报（自然科学版）》2014年第10期1244-1248,共5页Journal of Hefei University of Technology：Natural Science

摘　　要：地铁施工风险评估中,在辨识出地铁风险因素后,运用层次分析法来建立风险指标评价体系,进而对风险因素进行权重排序,可为后面的模糊综合评判奠定基础。传统的层次分析法在计算权重时,存在判断矩阵一致性难以保证且精度不高的缺陷。文章对传统的层次分析法的9标度法进行改进,使其转化为满足一致性要求的模糊一致性矩阵;利用约束规划问题的解得出各因素的权重,并用数学迭代法对权重向量进行迭代,直至满足精度要求。由于不需要再进行一致性检验,采用改进的方法大大减少了计算量。通过合肥地铁1、2号线施工的风险因素权重排序的实例计算,证实了该方法的优越之处。In the subway construction risk assessment ,after risk factors are distinguished ,analytic hi-erarchy process（AHP） is used to set up risk evaluation index system and the weight of risk factors is sequenced for the further fuzzy comprehensive judgment .Because of the difficulty in ensuring the con-sistency of judgment matrixes and the low accuracy problem of the traditional A HP ,the method of fuzzy AHP（FAHP） is improved .By improving the 9-scale method of traditional AHP ,the traditional judgment matrixes are transformed into fuzzy consistency matrixes ,so the consistency problem can be solved .The weight of risk factors is gotten through the solution of constraint programming problem . Through mathematical iteration ,high accuracy weight vector is obtained .Since no consistency testing is needed ,this method significantly reduces the amount of computation .Through the calculation ex-ample of sequencing the weight of risk factors in the construction of Hefei subway lines No .1 and No .2 ,the advantages of the improved method are verified .

关 键 词：风险评估 模糊层次分析法 权重向量 判断矩阵 

分 类 号：TU12[建筑科学—建筑理论] U458[建筑科学—桥梁与隧道工程]