基于模糊AHP和TOPSIS的铁路选线方案研究
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摘要
铁路选线是铁路设计中最根本、最重要的工作,是影响全局性的总体工作,线路选线的质量将直接关系到铁路工程建设的可靠性、安全性、技术可行性和经济合理性及社会接纳性,关系到铁路和地方经济社会的发展,因而它是高速铁路建设应重视的首要问题。文中运用三角模糊语言变量,将专家意见转换成三角模糊数并构建模糊决策判断矩阵,再结合层次分析法(AHP)对判断矩阵进行模糊变换和向量计算,然后运用TOPSIS方法计算各方案与理想值的相对贴近度并做出决策。最后以三个方案作为实例进行了验证,进一步为铁路线路方案选择提供决策参考。
Railway location is the most fundamental and important work in railway design,which is the overall work affecting the whole.The quality of route location will directly affect the reliability,safety,technical feasibility,economic rationality and social admissibility of railway construction as well as development of railway and local economic sociality. Therefore it is the first question to be valued for railway construction. First,use the triangular fuzzy linguistic variables to transform the expert opinion to fuzzy variable and construct the fuzzy decision matrix. Then,apply the AHP to fuzzy transform and vector computing for judge matrix,the TOPSIS is used to calculate the related similarity degree between each scheme and ideal value and make decision. At the end,with the three cases as the instance to verify,provide a decision reference for railway path selection.
Railway location is the most fundamental and important work in railway design,which is the overall work affecting the whole.The quality of route location will directly affect the reliability,safety,technical feasibility,economic rationality and social admissibility of railway construction as well as development of railway and local economic sociality. Therefore it is the first question to be valued for railway construction. First,use the triangular fuzzy linguistic variables to transform the expert opinion to fuzzy variable and construct the fuzzy decision matrix. Then,apply the AHP to fuzzy transform and vector computing for judge matrix,the TOPSIS is used to calculate the related similarity degree between each scheme and ideal value and make decision. At the end,with the three cases as the instance to verify,provide a decision reference for railway path selection.
引文
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[2]郑健.我国铁路客站规划与建设[J].铁道经济研究,2007(4):20-30.
[3]向隅.基于三角模糊数的TOPSIS评价方法在新建铁路线路选择中的应用[J].石家庄铁道大学学报:自然科学版,2011,24(2):56-60.
[4]李香花,王孟钧.基于三角模糊AHP的项目融资决策模型[J].计算机工程与应用,2012,48(11):243-248.
[5]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.
[6]Bryson N,Joseph A.Generating consensus priority interval vectors for group decision making in the AHP[J].Journal of Multi-criteria Decision Analysis,2000,9(4):127-137.
[7]Buckley J J,Fearing T,Hayashi Y.Fuzzy hierarchical analysis revisited[J].European Journal of Operational Research,2001,129(1):48-64.
[8]张,周德云.熵权与群组AHP相结合的TOPSIS法多目标威胁评估[J].系统仿真学报,2008,20(7):1661-1664.
[9]Ashtiani B,Haghighirad F,Makui A,et al.Extension of fuzzy TOPSIS method based on interval-valued fuzzy sets[J].Applied Soft Computing,2009,9(2):457-461.
[10]周小川.模糊层次分析法和灰色关联度在铁路方案决策中的应用[D].成都:西南交通大学,2011.
[11]Shih H S.Incremental analysis for MCDM with an application to group TOPSIS[J].European Journal of Operational Research,2008,186(2):720-734.
[12]客运专线施工组织设计[EB/OL].2008.http://www.jianshe99.com.
[13]新建铁路长昆线可行性研究[M].出版地不详:中铁二院工程集团有限责任公司,2009.
[14]石云峰.吉林省靖宇县地方铁路方案比选[J].路基工程,2002(4):21-22.