基于博弈论组合赋权的正态云模型在地下水水质评价中的应用
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摘要
针对传统主、客观赋权方法的局限性,提出组合赋权思想。采用G2赋权法确定主观权重,CRITIC赋权法确定客观权重,并通过博弈论的组合赋权思想,充分挖掘权重信息。考虑到组合赋权的可信性,引入Kullback相对熵理论,验证三者之间一致性。同时运用正态云模型对水质状况进行识别与比较分析,充分反映水质变化趋势。该模型运用于新疆独山子区8组水样水质评价中,并与模糊综合评价法结果进行对比。研究表明,该方法评价结果准确、相对简单,是一种科学、实用的评价方法。
In view of the limitations of traditional subjective and objective weighting methods,this paper puts forward the idea of combined weighting. The G2 weighting method is used to determine the subjective weight,while the CRITIC weighting method is used to determine the objective weights and the weighting information is fully exploited through the combined weighting idea of game theory. Considering the credibility of combination weighting,Kullback relative entropy theory is introduced to verify the consistency among the three factors. At the same time,the normal cloud model is used to identify and compare the water quality,which fully reflects the change trend of water quality.The model is applied to the water quality evaluation of 8 groups of water samples in Dushanzi district of Xinjiang and compared with the results of fuzzy comprehensive evaluation method. The results show that this method is accurate,simple,scientific and practical.
In view of the limitations of traditional subjective and objective weighting methods,this paper puts forward the idea of combined weighting. The G2 weighting method is used to determine the subjective weight,while the CRITIC weighting method is used to determine the objective weights and the weighting information is fully exploited through the combined weighting idea of game theory. Considering the credibility of combination weighting,Kullback relative entropy theory is introduced to verify the consistency among the three factors. At the same time,the normal cloud model is used to identify and compare the water quality,which fully reflects the change trend of water quality.The model is applied to the water quality evaluation of 8 groups of water samples in Dushanzi district of Xinjiang and compared with the results of fuzzy comprehensive evaluation method. The results show that this method is accurate,simple,scientific and practical.
引文
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[7]陈法兴.基于投影寻踪-正态云模型的地下水水质分级评价[J].水电能源科学,2016,34(5):51-54.
[8]付文艺.基于熵权-正态云模型的地下水水质综合评价[J].人民黄河,2016,38(5):68-71,76.
[9]王瑞星.基于融合权重-云模型的地下水水质评价方法研究[J].水力发电,2016,42(6):5-9.
[10]任飞鹏,侯炳江,佘学成.正态云模型在地下水水质综合评价中的应用[J].人民长江,2016,47(21):15-19,24.
[11]叶达,吴克宁,刘霈珈.基于正态云模型与熵权法的景泰县耕地后备资源开发潜力评价[J].中国农业资源与区划,2016,37(6):22-28.
[12]邱菀华.管理决策熵学及其应用[M]北京:中国电力出版社,2010.
[2]李德毅,刘常昱.论正态云模型的普适性[J].中国工程科学,2004(8):28-34.
[3]裴鑫.基于G2赋权TOPSIS法的第三方逆向物流服务商评价[J].物流技术,2015,34(3):145-147,160.
[4]D Diakoulaki,G Mavrotas,L Papayannakis.Determining objective weights in multiple criteria problems:The CRITIC method[J].Computers and Operations Research,1995,22(7).
[5]谢彦蓉,李孜军,徐志国.基于CRITIC法与TOPSIS法的硫化矿自燃倾向性评定[J].安全与环境学报,2014,14(1):122-125.
[6]甘蓉,宣昊,刘国东,等.基于博弈论综合权重的物元可拓模型在地下水质量评价中的应用[J].水电能源科学,2015,33(1):39-42,90.
[7]陈法兴.基于投影寻踪-正态云模型的地下水水质分级评价[J].水电能源科学,2016,34(5):51-54.
[8]付文艺.基于熵权-正态云模型的地下水水质综合评价[J].人民黄河,2016,38(5):68-71,76.
[9]王瑞星.基于融合权重-云模型的地下水水质评价方法研究[J].水力发电,2016,42(6):5-9.
[10]任飞鹏,侯炳江,佘学成.正态云模型在地下水水质综合评价中的应用[J].人民长江,2016,47(21):15-19,24.
[11]叶达,吴克宁,刘霈珈.基于正态云模型与熵权法的景泰县耕地后备资源开发潜力评价[J].中国农业资源与区划,2016,37(6):22-28.
[12]邱菀华.管理决策熵学及其应用[M]北京:中国电力出版社,2010.