基于FG-MCGDM的水利工程施工进度方案优化
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摘要
针对水利工程施工进度的多准则群决策问题,提出了一种新的模糊灰色多准则决策模型。该模型基于模糊集理论、灰色关联分析和折衷解的理论方法,将各决策属性和决策者权重的语言变量转化为梯形模糊数;采用改进的GRA-VIKOR方法对模糊信息群体决策问题进行求解,并对各决策者的群体效益值和个体遗憾值进行聚合;通过折衷解对施工进度方案进行排序,获得最优方案。该模型有效地避免了信息的扭曲和丢失,确保了决策信息的完备性。通过在某水利工程施工进度方案优选的案例分析与计算,证明了该模型的有效性和实用性。
A new FG-MCGDM model is proposed to solve the multiple criteria group decision making problem of construction schedule for water conservancy project. The model is based on the fuzzy set theory,grey relational analysis and compromise solution theory. Firstly,the linguistic variables of decision attributes and decision-maker' weights are transformed into trapezoidal fuzzy numbers. Then,the improved GRA-VIKOR method is used to solve the group decision making problem with fuzzy information,and the group benefits and individual regret values of each decision maker are aggregated. Finally,the construction schedule schemes are sorted by compromise solution, thus the best schemes are obtained. The model avoids the distortion and loss of information,and ensures the completeness of decision information. The validity and practicability of the model is proved by the construction schedule calculation of a water conservancy project.
A new FG-MCGDM model is proposed to solve the multiple criteria group decision making problem of construction schedule for water conservancy project. The model is based on the fuzzy set theory,grey relational analysis and compromise solution theory. Firstly,the linguistic variables of decision attributes and decision-maker' weights are transformed into trapezoidal fuzzy numbers. Then,the improved GRA-VIKOR method is used to solve the group decision making problem with fuzzy information,and the group benefits and individual regret values of each decision maker are aggregated. Finally,the construction schedule schemes are sorted by compromise solution, thus the best schemes are obtained. The model avoids the distortion and loss of information,and ensures the completeness of decision information. The validity and practicability of the model is proved by the construction schedule calculation of a water conservancy project.
引文
[1]王仁超,王帅,苏贝.基于区间直觉模糊AHP法的大坝浇筑方案选取[J].工程管理学报,2018,32(2):136-140.
[2]Chiclana F,Herrera-Viedma E.Intergrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations[J].Fuzzy Sets and Systems,1998,97(1):33-48.
[3]Ruspini E H.Fuzzy multiple attribute decision making:Areview and new preference elicitation techniques[J].Fuzzy Set and Systems,1996,78(2):155-181.
[4]田军,张朋柱,王刊良.基于德尔菲法的专家意见集成模型研究[J].系统工程理论与实践,2004(1):57-62.
[5]常建娥,蒋太立.层次分析法确定权重的研究[J].武汉理工大学学报(信息与管理工程版),2007(1):57-62.
[6]万俊,邢焕革,等.基于熵理论的多属性群决策专家权重的调整算法[J].控制与决策,2010(6):907-910.
[7]刘锋,魏光辉.基于灰色关联的水利工程方案模糊优选[J].水力发电学报,2012,31(1):10-14.
[8]付永强.灰色关联模糊聚类法的研究及应用[D].西安建筑科技大学,2014.
[9]韩敏,张瑞全,许美玲.一种基于改进灰色关联分析的变量选择算法[J].控制与决策,2017(9):1647-1652.
[10]Cook W D,KRESS M.A multiple-criteria composite index model for quantitative and qualitative data[J].European Journal of Operational Research,1994,78(94):367-379.
[11]魏丹.基于三角模糊数层次分析法的地铁施工风险评价指标体系研究[J].建筑安全,2017,32(2):17-19.
[12]吴云星.一种基于梯形模糊相似度量的风险投资评估方法[J].北京信息科技大学学报(自然科学版),2015,30(5):93-96.
[13]王丹华,宋敏.基于熵权的多层次模糊综合评价的水利建设建设项目评价研究[J].项目管理技术,2014,12(2):44-48.
[14]Atanassov K T.Intuitionistic fuzzy sets[J].Fuzzy Sets&Systems,1986,20(1):87-96.
[15]元云丽.基于模糊层次分析法(FAHP)的水利建设工程项目风险管理研究[D].重庆大学,2013.
[16]鞠方辉,刘德学.建设项目方案环境影响的模糊PROMETHEE排序[J].管理工程学报,2003(3):85-89.
[17]韦钢,刘佳,张鑫,等.配电网规划方案的AHP/PROMETHEE综合决策[J].电力系统及其自动化学报,2009,21(3):36-40.
[18]S.Meysam Mousavi,Fariborz Jolai,Reza Tavakkoli-Moghaddam,Behnam Vahdani.A fuzzy grey model based on the compromise ranking for multi-criteria group decision making problems in manufacturing systems[J].Journal of Intelligent&Fuzzy Systems,2013,24(2):819-827.
[19]R.P Yager,A procedure for ordering fuzzy subsets of the unit interval,Information Sciences,2009,12(24):143-161.
[20]韩敏,张瑞全,等.一种基于改进灰色关联分析的变量选择算法[J].控制与决策,2017(9):1647-1652.
[21]刘思峰,党耀国,方志耕.灰色系统理论及其应用[M].科学出版社,2004.
[22]杨欣蓉,钱钢,冯向前.基于犹豫模糊语言多属性群决策的VIKOR扩展方法[J].计算机工程与应用,2017,53(11):39-43.
[23]周清华,王琦.基于直觉模糊集和VIKOR的低碳供应商选择方法研究[J].科技管理研究,2017,37(10):233-237.
[2]Chiclana F,Herrera-Viedma E.Intergrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations[J].Fuzzy Sets and Systems,1998,97(1):33-48.
[3]Ruspini E H.Fuzzy multiple attribute decision making:Areview and new preference elicitation techniques[J].Fuzzy Set and Systems,1996,78(2):155-181.
[4]田军,张朋柱,王刊良.基于德尔菲法的专家意见集成模型研究[J].系统工程理论与实践,2004(1):57-62.
[5]常建娥,蒋太立.层次分析法确定权重的研究[J].武汉理工大学学报(信息与管理工程版),2007(1):57-62.
[6]万俊,邢焕革,等.基于熵理论的多属性群决策专家权重的调整算法[J].控制与决策,2010(6):907-910.
[7]刘锋,魏光辉.基于灰色关联的水利工程方案模糊优选[J].水力发电学报,2012,31(1):10-14.
[8]付永强.灰色关联模糊聚类法的研究及应用[D].西安建筑科技大学,2014.
[9]韩敏,张瑞全,许美玲.一种基于改进灰色关联分析的变量选择算法[J].控制与决策,2017(9):1647-1652.
[10]Cook W D,KRESS M.A multiple-criteria composite index model for quantitative and qualitative data[J].European Journal of Operational Research,1994,78(94):367-379.
[11]魏丹.基于三角模糊数层次分析法的地铁施工风险评价指标体系研究[J].建筑安全,2017,32(2):17-19.
[12]吴云星.一种基于梯形模糊相似度量的风险投资评估方法[J].北京信息科技大学学报(自然科学版),2015,30(5):93-96.
[13]王丹华,宋敏.基于熵权的多层次模糊综合评价的水利建设建设项目评价研究[J].项目管理技术,2014,12(2):44-48.
[14]Atanassov K T.Intuitionistic fuzzy sets[J].Fuzzy Sets&Systems,1986,20(1):87-96.
[15]元云丽.基于模糊层次分析法(FAHP)的水利建设工程项目风险管理研究[D].重庆大学,2013.
[16]鞠方辉,刘德学.建设项目方案环境影响的模糊PROMETHEE排序[J].管理工程学报,2003(3):85-89.
[17]韦钢,刘佳,张鑫,等.配电网规划方案的AHP/PROMETHEE综合决策[J].电力系统及其自动化学报,2009,21(3):36-40.
[18]S.Meysam Mousavi,Fariborz Jolai,Reza Tavakkoli-Moghaddam,Behnam Vahdani.A fuzzy grey model based on the compromise ranking for multi-criteria group decision making problems in manufacturing systems[J].Journal of Intelligent&Fuzzy Systems,2013,24(2):819-827.
[19]R.P Yager,A procedure for ordering fuzzy subsets of the unit interval,Information Sciences,2009,12(24):143-161.
[20]韩敏,张瑞全,等.一种基于改进灰色关联分析的变量选择算法[J].控制与决策,2017(9):1647-1652.
[21]刘思峰,党耀国,方志耕.灰色系统理论及其应用[M].科学出版社,2004.
[22]杨欣蓉,钱钢,冯向前.基于犹豫模糊语言多属性群决策的VIKOR扩展方法[J].计算机工程与应用,2017,53(11):39-43.
[23]周清华,王琦.基于直觉模糊集和VIKOR的低碳供应商选择方法研究[J].科技管理研究,2017,37(10):233-237.