基于三角模糊数-集对分析的地铁车站选址
|
摘要
为解决地铁车站选址方案比选时的多属性决策问题,利用三角模糊数和集对分析理论描述不同方案的各指标特征,构建地铁车站选址方案指标体系.首先对各指标进行定性或定量评价,利用三角模糊数来定量表示各指标的差异度系数在相邻标准界别间的连续变化过程,得到同一度决策矩阵.然后,运用同、异、反分析策略,确定了各评价指标的实测值和评价标准之间的联系度和差异度,引入熵值理论,利用信息熵反映的效用值来计算各指标权重,建立综合评价模型.最后,利用实例对模型的合理性和比选方法的有效性进行了验证,研究结果表明该比选方法可为地铁车站选址决策提供科学依据.
To solve the problem of multi-attribute decision-making on selection of metro station locations,the characteristics of each index in different plans were described with triangular fuzzy number and the set pair analysis theory,and an index system for the selection of metro station locations was constructed.Firstly,the qualitative or quantitative evaluation of each index to the station selection plans was carried out,the triangular fuzzy number was used to indicate the continuous changing process of the difference of each index in the adjacent standard sectors,and the same degree of decision matrix was obtained based on triangular fuzzy numbers.Then,the strategy of identical discrepancy contrary analysis was used to identify the contact degree and differences coefficient between evaluation of measured values and evaluation criteria,the information entropy was taken to calculate the weight of each index,and an comprehensive evaluation model was built.Finally,the rationality of the model and the effectiveness of the method were verified by a specific example.The results show that the method can provide a scientific basis for the decision-making on the selection of metro station locations.
To solve the problem of multi-attribute decision-making on selection of metro station locations,the characteristics of each index in different plans were described with triangular fuzzy number and the set pair analysis theory,and an index system for the selection of metro station locations was constructed.Firstly,the qualitative or quantitative evaluation of each index to the station selection plans was carried out,the triangular fuzzy number was used to indicate the continuous changing process of the difference of each index in the adjacent standard sectors,and the same degree of decision matrix was obtained based on triangular fuzzy numbers.Then,the strategy of identical discrepancy contrary analysis was used to identify the contact degree and differences coefficient between evaluation of measured values and evaluation criteria,the information entropy was taken to calculate the weight of each index,and an comprehensive evaluation model was built.Finally,the rationality of the model and the effectiveness of the method were verified by a specific example.The results show that the method can provide a scientific basis for the decision-making on the selection of metro station locations.
引文
[1]张天伟,聂磊,高桂凤.铁路客运站选址模型[J].交通运输工程学报,2011(5):83-87.
[2]潘玲巧,焦永兰,林志安.基于集对分析的客运专线引入铁路枢纽客运站选址方案比选[J].中国铁道科学,2009,30(3):125-129.
[3]廖勇.基于三角模糊数的铁路客运站选址方案评价方法[J].中国铁道科学,2009,30(6):119-125.
[4]杨丽媛.城市地铁站点选址方案评价研究[D].长沙:中南大学,2010.
[5]吕明,罗霞,朱海.城际铁路线网布局方案比选与软件开发[J].计算机工程与应用,2013,49(4):1-4.
[6]杨震.地铁站点布局优化方法[J].城市轨道交通研究,2014,17(2):86-90.
[7]YANG J,CHEN J,LE X,et al.Density-oriented versus development-oriented transit investment:Decoding metro station location selection in Shenzhen[J].Transport Policy,2016,51:93-102.
[8]罗昊,何世伟.群决策方法在铁路枢纽客运站选址方案比选中的应用[J].铁道运输与经济,2010,32(6):75-78.
[9]夏臣芝,广晓平,王飞.基于集对分析的城市轨道交通线网规划方案比选研究[J].兰州交通大学学报,2010,29(4):139-143.
[10]吴艳群.基于集对分析的危险品道路运输安全水平评价[J].兰州交通大学学报,2017,36(1):23-30.
[11]贡力,严松宏.基于集对分析法的城市水安全评价[J].兰州交通大学学报,2014,33(1):149-153.
[12]吴红兵.城市轨道交通线路与站点规划理论研究[D].重庆:重庆大学,2006.
[13]谢海红,周浪雅,杨丽娟.铁路客运专线引入既有枢纽的方案选择[J].北京交通大学学报,2008,32(3):6-10.
[14]MARIN A,NICKEL S,PUERTO J,et al.A flexible model and efficient solution strategies for discrete location problems[J].Discrete Applied Mathematics,2009,157(5):1128-1145.
[15]魏丹.基于集对分析的道路交通拥堵判定[J].交通标准化,2012,2(3):56-58.
[16]王纪鹏,欧阳治华,刘夏临.基于集对分析与三角模糊数的围岩稳定性综合评价模型[J].化工矿物与加工,2013(5):20-24.
[17]赵克勤.SPA的同异反系统理论在人工智能研究中的应用[J].智能系统学报,2007,2(5):20-35.
[2]潘玲巧,焦永兰,林志安.基于集对分析的客运专线引入铁路枢纽客运站选址方案比选[J].中国铁道科学,2009,30(3):125-129.
[3]廖勇.基于三角模糊数的铁路客运站选址方案评价方法[J].中国铁道科学,2009,30(6):119-125.
[4]杨丽媛.城市地铁站点选址方案评价研究[D].长沙:中南大学,2010.
[5]吕明,罗霞,朱海.城际铁路线网布局方案比选与软件开发[J].计算机工程与应用,2013,49(4):1-4.
[6]杨震.地铁站点布局优化方法[J].城市轨道交通研究,2014,17(2):86-90.
[7]YANG J,CHEN J,LE X,et al.Density-oriented versus development-oriented transit investment:Decoding metro station location selection in Shenzhen[J].Transport Policy,2016,51:93-102.
[8]罗昊,何世伟.群决策方法在铁路枢纽客运站选址方案比选中的应用[J].铁道运输与经济,2010,32(6):75-78.
[9]夏臣芝,广晓平,王飞.基于集对分析的城市轨道交通线网规划方案比选研究[J].兰州交通大学学报,2010,29(4):139-143.
[10]吴艳群.基于集对分析的危险品道路运输安全水平评价[J].兰州交通大学学报,2017,36(1):23-30.
[11]贡力,严松宏.基于集对分析法的城市水安全评价[J].兰州交通大学学报,2014,33(1):149-153.
[12]吴红兵.城市轨道交通线路与站点规划理论研究[D].重庆:重庆大学,2006.
[13]谢海红,周浪雅,杨丽娟.铁路客运专线引入既有枢纽的方案选择[J].北京交通大学学报,2008,32(3):6-10.
[14]MARIN A,NICKEL S,PUERTO J,et al.A flexible model and efficient solution strategies for discrete location problems[J].Discrete Applied Mathematics,2009,157(5):1128-1145.
[15]魏丹.基于集对分析的道路交通拥堵判定[J].交通标准化,2012,2(3):56-58.
[16]王纪鹏,欧阳治华,刘夏临.基于集对分析与三角模糊数的围岩稳定性综合评价模型[J].化工矿物与加工,2013(5):20-24.
[17]赵克勤.SPA的同异反系统理论在人工智能研究中的应用[J].智能系统学报,2007,2(5):20-35.