基于Vague集和云模型的河湖水系连通工程规划布局方案优选及排序方法
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摘要
河湖水系连通工程方案多属性多目标综合评价是河湖水系连通决策和管理迫切需要解决的基础性问题.为克服传统模糊集不能体现信息介于肯定与否定之间踌躇性的弊端,通过利用Vague集评分函数方法,建立了基于多种评分函数组合的河湖水系连通工程优选及排序的综合评价模型,并提出了基于云模型的河湖水系连通评判指标和指标权重灵敏度分析方法.以浙北引水工程为例,探讨了不同评分函数对工程方案排序的影响,对比分析了单一指标值变化和多个权重变化下不同评分函数对决策结果的鲁棒性情况.研究结果为河湖水系连通工程方案的决策和效果的合理性评估提供了一条新的研究路径.
In order to solve the basic problem of decision-making and management for multi-attribute and multi-objective comprehensive evaluation on the interconnected river system network engineering schemes,a comprehensive evaluation and sensitivity analysis method of optimization and sorting for the engineering schemes based on score functions of vague sets and cloud model is proposed with the project of water diversion to northern Zhejiang province as an example, the method is used to discuss the effect of different score functions on sorting the engineering schemes and analyze their robustness for evaluating under the circumstances the changes of single index and multiple weights.
In order to solve the basic problem of decision-making and management for multi-attribute and multi-objective comprehensive evaluation on the interconnected river system network engineering schemes,a comprehensive evaluation and sensitivity analysis method of optimization and sorting for the engineering schemes based on score functions of vague sets and cloud model is proposed with the project of water diversion to northern Zhejiang province as an example, the method is used to discuss the effect of different score functions on sorting the engineering schemes and analyze their robustness for evaluating under the circumstances the changes of single index and multiple weights.
引文
[1]向莹,韦安磊,茹彤,等.中国河湖水系连通与区域生态环境影响[J].中国人口.资源与环境,2015,25(5):139-142.Xiang Y,Wei A L,Ru T,et al.Rivers system connection and regional ecological and environmental impacts in China[J].China Population,Resources and Environment,2015,25(5):139-142.
[2]邵卫云,赵斌,陈雪良,等.浙北引水工程方案选优指标体系及其综合评价[J].水利学报,2007,38(增刊):251-255.Shao W Y,Zhao B,Chen X L,et al.Comprehensive evaluation on project of water diversion to northern Zhejiang province[J].Journal of Hydraulic Engineering,2007,38(Sup):251-255.
[3]陈军飞.调水工程线路方案优选的灰色系统模型及其应用[J].数学的实践与认识,2004,34(7):56-60.Chen J F.Grey system model and its application in redeploying water project line scheme optimal selection[J].Mathematics in Practice and Theory,2004,34(7):56-60.
[4]赵静,史淑娟,李怀恩.跨流域调水方案优选方法初步研究[J].干旱地区农业研究,2010,28(2):214-218.Zhao J,Shi S J,Li H E.Preliminary study on optimizing method of scheme in inter-basin water transfer project[J].Agricultural Research in the Arid Areas,2010,28(2):214-218.
[5]冯顺新,李海英,李翀,等.河湖水系连通影响评价指标体系研究Ⅰ——指标体系及评价方法[J].中国水利水电科学研究院学报,2014,12(4):386-393.Feng S X,Li H Y,Li C,et al.Study on the impact evaluation indicator system of River and Lake System Interconnection I:Impact evaluation indicator system and evaluation method[J].Journal of China Institute of Water Resources and Hydropower Research,2014,12(4):386-393.
[6]王顺久,李跃清·水利水电规划方案优选的投影寻踪模型[J].水利学报,2005(增刊):435-437.Wang S J,Li Y Q.Projection pursuit model for hydropower planning scheme optimization[J].Journal of Hydraulic Engineering,2005(Sup):435-437.
[7]陈绪坚,胡春宏,陈建国.黄河干流泥沙优化配置综合评价方法[J].水科学进展,2010,21(5):585-592.Chen X J,Hu C H,Chen J G.Method for comprehensive evaluation of sediment optimal allocations in the mainstream of Yellow River[J].Advances in Water Science,2010,21(5):585-592.
[8]郭瑞,郭进,苏跃斌,等.基于记分函数的Vague集方案排序局限性及改进策略[J].系统工程与电子技术,2014,36(1):105-110.Guo R,Guo J,Su Y B,et al.Ranking limitation and improvement strategy of Vague sets[J].Systems Engineering and Electronics,2014,36(1):105-110.
[9]Gau W L,Buehrer D J.Vague sets[J].IEEE Transactions on Systems,Man,and Cybernetics,1993,23(2):610-614.
[10]畅明琦,刘俊萍,黄强.水资源安全Vague集多目标评价及预警[J].水力发电学报,2008,27(3):81-88.Chang M Q,Liu J P,Huang Q.Multiobjective assessment and early warning of water resources security based on Vague set[J].Journal of Hydroelectric Engineering,2008,27(3):81-88.
[11]王爱领.基于改进的群组AHP和Vague集的水资源工程投资决策研究[J].节水灌溉,2013,10:52-55.Wang A L.Investment decision of water resources engineering based on improved group AHP and Vague sets[J].Water Saving Irrigation,2013,10:52-55.
[12]Chen S M,Tan J M.Handling multi-criteria fuzzy decision-making problems based on Vague set theory[J].Fuzzy Sets and Systems,1994,67(2):163-172.
[13]Hong D H,Choi C H.Multi-criteria fuzzy decision-making problems based on Vague set theory[J].Fuzzy Sets and Systems,2000,114(1):103-113.
[14]刘华文.多目标模糊决策的Vague集方法[J].系统工程理论与实践,2004,24(5):103-109.Liu H W.Vague set methods of multi-criteria fuzzy decision making[J].Systems Engineering-Theory&Practice,2004,24(5):103-109.
[15]Liu H W,Wang G J.Multi-criteria decision-making methods based on intuitionistic fuzzy sets[J].European Journal of Operational Research,2007,179(1):220-233.
[16]周晓光,张强.模糊群决策中专家意见的汇总研究[J].北京理工大学学报,2009,29(10):936-940.Zhou X G,Zhang Q.Research on the aggregation of experts'opinion during vague group decision making[J].Transactions of Beijing Institute of Technology,2009,29(10):936-940.
[17]许昌林,魏立力.多准则模糊决策的Vague集方法[J].系统工程理论与实践,2010,30(11):2019-2025.Xu C L,Wei L L.Vague set method of multi-criteria fuzzy decision making[J].Systems Engineering—Theory&Practice,2010,30(11):2019-2025.
[18]张恩瑜,王珏,汪寿阳.一种新的Vague集多准则决策评分函数[J].系统科学与数学,2011,31(8):961-974.Zhang E Y,Wang J,Wang S Y.A new scoring function in multi-criteria decision-making based on Vague set[J].Journal of System Science and Mathematical Science Chinese Series,2011,31(8):961-974.
[19]李鹏,刘思峰,朱建军.基于前景理论的随机直觉模糊决策方法[J].控制与决策,2012,27(11):1601-1606.Li P,Liu S F,Zhu J J.Intuitionistic fuzzy stochastic multi-criteria decision-making methods based on prospect theory[J].Control and Decision,2012,27(11):1601-1606.
[20]王万军.基于Vague集记分函数的一种构造方法[J].郑州大学学报(理学版),2014,46(1):33-36.Wang W J.A construction method based on score function for vague sets[J].Journal of Zhengzhou University(National Science Edition),2014,46(1):33-36.
[21]高建伟,刘慧晖,谷云东.基于前景理论的区间直觉模糊多准则决策方法[J].系统工程理论与实践,2014,34(12):3175-3181.Gao J W,Liu H H,Gu Y D,et al.Interval-valued intuitionistic fuzzy multi-criteria decision-making method based on prospect theory[J].Systems Engineering—Theory&Practice,2014,34(12):3175-3181.
[22]彭展声.Vague集的一个新记分函数[J].湖北大学学报(自然科学版),2011,33(3):362-365.Peng Z S.New score function for Vague set[J].Journal of Hubei University(Natural Science),2011,33(3):362-365.
[23]王伟平.基于记分函数的语言型多准则决策方法[J].数学的实践与认识,2013,43(13):98-103.Wang W P.Linguistic information multi-criteria decision making approach based on score functions[J].Mathematics in Practice and Theory,2013,43(13):98-103.
[24]金维刚,李勇,印永华,等.不确定环境下特高压远距离风电专用通道落点方案决策的灵敏度分析[J].电网技术,2016,40(3):889-896.Jin W G,Li Y,Qiu Y H,et al.Sensitivity analysis for decision-making of UHV long distance power transmission site selection under uncertainty based on cloud model[J].Power System Technology,2016,40(3):889-896.
[2]邵卫云,赵斌,陈雪良,等.浙北引水工程方案选优指标体系及其综合评价[J].水利学报,2007,38(增刊):251-255.Shao W Y,Zhao B,Chen X L,et al.Comprehensive evaluation on project of water diversion to northern Zhejiang province[J].Journal of Hydraulic Engineering,2007,38(Sup):251-255.
[3]陈军飞.调水工程线路方案优选的灰色系统模型及其应用[J].数学的实践与认识,2004,34(7):56-60.Chen J F.Grey system model and its application in redeploying water project line scheme optimal selection[J].Mathematics in Practice and Theory,2004,34(7):56-60.
[4]赵静,史淑娟,李怀恩.跨流域调水方案优选方法初步研究[J].干旱地区农业研究,2010,28(2):214-218.Zhao J,Shi S J,Li H E.Preliminary study on optimizing method of scheme in inter-basin water transfer project[J].Agricultural Research in the Arid Areas,2010,28(2):214-218.
[5]冯顺新,李海英,李翀,等.河湖水系连通影响评价指标体系研究Ⅰ——指标体系及评价方法[J].中国水利水电科学研究院学报,2014,12(4):386-393.Feng S X,Li H Y,Li C,et al.Study on the impact evaluation indicator system of River and Lake System Interconnection I:Impact evaluation indicator system and evaluation method[J].Journal of China Institute of Water Resources and Hydropower Research,2014,12(4):386-393.
[6]王顺久,李跃清·水利水电规划方案优选的投影寻踪模型[J].水利学报,2005(增刊):435-437.Wang S J,Li Y Q.Projection pursuit model for hydropower planning scheme optimization[J].Journal of Hydraulic Engineering,2005(Sup):435-437.
[7]陈绪坚,胡春宏,陈建国.黄河干流泥沙优化配置综合评价方法[J].水科学进展,2010,21(5):585-592.Chen X J,Hu C H,Chen J G.Method for comprehensive evaluation of sediment optimal allocations in the mainstream of Yellow River[J].Advances in Water Science,2010,21(5):585-592.
[8]郭瑞,郭进,苏跃斌,等.基于记分函数的Vague集方案排序局限性及改进策略[J].系统工程与电子技术,2014,36(1):105-110.Guo R,Guo J,Su Y B,et al.Ranking limitation and improvement strategy of Vague sets[J].Systems Engineering and Electronics,2014,36(1):105-110.
[9]Gau W L,Buehrer D J.Vague sets[J].IEEE Transactions on Systems,Man,and Cybernetics,1993,23(2):610-614.
[10]畅明琦,刘俊萍,黄强.水资源安全Vague集多目标评价及预警[J].水力发电学报,2008,27(3):81-88.Chang M Q,Liu J P,Huang Q.Multiobjective assessment and early warning of water resources security based on Vague set[J].Journal of Hydroelectric Engineering,2008,27(3):81-88.
[11]王爱领.基于改进的群组AHP和Vague集的水资源工程投资决策研究[J].节水灌溉,2013,10:52-55.Wang A L.Investment decision of water resources engineering based on improved group AHP and Vague sets[J].Water Saving Irrigation,2013,10:52-55.
[12]Chen S M,Tan J M.Handling multi-criteria fuzzy decision-making problems based on Vague set theory[J].Fuzzy Sets and Systems,1994,67(2):163-172.
[13]Hong D H,Choi C H.Multi-criteria fuzzy decision-making problems based on Vague set theory[J].Fuzzy Sets and Systems,2000,114(1):103-113.
[14]刘华文.多目标模糊决策的Vague集方法[J].系统工程理论与实践,2004,24(5):103-109.Liu H W.Vague set methods of multi-criteria fuzzy decision making[J].Systems Engineering-Theory&Practice,2004,24(5):103-109.
[15]Liu H W,Wang G J.Multi-criteria decision-making methods based on intuitionistic fuzzy sets[J].European Journal of Operational Research,2007,179(1):220-233.
[16]周晓光,张强.模糊群决策中专家意见的汇总研究[J].北京理工大学学报,2009,29(10):936-940.Zhou X G,Zhang Q.Research on the aggregation of experts'opinion during vague group decision making[J].Transactions of Beijing Institute of Technology,2009,29(10):936-940.
[17]许昌林,魏立力.多准则模糊决策的Vague集方法[J].系统工程理论与实践,2010,30(11):2019-2025.Xu C L,Wei L L.Vague set method of multi-criteria fuzzy decision making[J].Systems Engineering—Theory&Practice,2010,30(11):2019-2025.
[18]张恩瑜,王珏,汪寿阳.一种新的Vague集多准则决策评分函数[J].系统科学与数学,2011,31(8):961-974.Zhang E Y,Wang J,Wang S Y.A new scoring function in multi-criteria decision-making based on Vague set[J].Journal of System Science and Mathematical Science Chinese Series,2011,31(8):961-974.
[19]李鹏,刘思峰,朱建军.基于前景理论的随机直觉模糊决策方法[J].控制与决策,2012,27(11):1601-1606.Li P,Liu S F,Zhu J J.Intuitionistic fuzzy stochastic multi-criteria decision-making methods based on prospect theory[J].Control and Decision,2012,27(11):1601-1606.
[20]王万军.基于Vague集记分函数的一种构造方法[J].郑州大学学报(理学版),2014,46(1):33-36.Wang W J.A construction method based on score function for vague sets[J].Journal of Zhengzhou University(National Science Edition),2014,46(1):33-36.
[21]高建伟,刘慧晖,谷云东.基于前景理论的区间直觉模糊多准则决策方法[J].系统工程理论与实践,2014,34(12):3175-3181.Gao J W,Liu H H,Gu Y D,et al.Interval-valued intuitionistic fuzzy multi-criteria decision-making method based on prospect theory[J].Systems Engineering—Theory&Practice,2014,34(12):3175-3181.
[22]彭展声.Vague集的一个新记分函数[J].湖北大学学报(自然科学版),2011,33(3):362-365.Peng Z S.New score function for Vague set[J].Journal of Hubei University(Natural Science),2011,33(3):362-365.
[23]王伟平.基于记分函数的语言型多准则决策方法[J].数学的实践与认识,2013,43(13):98-103.Wang W P.Linguistic information multi-criteria decision making approach based on score functions[J].Mathematics in Practice and Theory,2013,43(13):98-103.
[24]金维刚,李勇,印永华,等.不确定环境下特高压远距离风电专用通道落点方案决策的灵敏度分析[J].电网技术,2016,40(3):889-896.Jin W G,Li Y,Qiu Y H,et al.Sensitivity analysis for decision-making of UHV long distance power transmission site selection under uncertainty based on cloud model[J].Power System Technology,2016,40(3):889-896.