改进的逼近理想解排序法在地表水水质综合评价中的应用  

Application of Improved TOPSIS Method in Comprehensive Assessment of Surface Water Quality

作　　者：张朝飞 黄川友[1] 殷彤[1] 朱国宇[1] ZHANG Chao-fei;HUANG Chuan-you;YIN Tong;ZHU Guo-yu(State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China)

机构地区：[1]四川大学水力学与山区河流开发保护国家重点实验室,四川成都610065

出　　处：《水电能源科学》2018年第4期37-40,48,共5页Water Resources and Power

摘　　要：针对传统逼近理想解排序方法在权重及方案相对贴近度计算方面存在的不足,提出了一种改进的计算方法。首先对于原始指标数据进行预处理并建立标准化方案决策矩阵,然后应用AHP法和熵权法对各指标通过综合集成赋权的方式进行赋权并构建加权标准化方案矩阵,最后利用灰色关联分析法构建原始指标数据中各个方案与理想解间的灰色关联系数矩阵,并以此作为新的决策矩阵分别确定新矩阵中各方案与新的理想解及负理想解的欧氏距离和灰色关联度,进而对传统相对贴近度算法进行改进,使传统理想解法更趋完善。应用改进后的理想解法对徐堰河水质进行综合评价,结果表明,该法可全面、科学地反映水质状况,具有较强的合理性和科学性。Aiming at the deficiencies of the traditional TOPSIS method in the calculation of index weight and relative closeness degree,an improved algorithm was proposed.Firstly,the original indicator data was preprocessed and the normalized decision-making matrix was built.Then,based on the application of AHP and entropy weight method,the weight coefficient of each index was decided through the integrated weighting method so as to construct the weighting decisionmaking matrix.Finally,gray correlation coefficient matrix,which was based on the original indicator data,was constructed between each scheme and the ideal solution by using gray relative analysis method and was used as a new decisionmaking matrix to calculate the Euclidean distance and gray correlation degree between each scheme and new ideal solution or negative ideal solution.Then,in order to make the traditional TOPSIS method more perfect,the traditional algorithm of relative similarity degree was modified on the foundation of this Euclidean distance and gray correlation degree.The improved TOPSIS method was applied to the comprehensive evaluation of water quality in Xuyan River.The results show that this method,which is feasible and scientific,can comprehensively reflect the water quality.

关 键 词：水质评价 逼近理想解排序法 灰色关联度 欧氏距离 综合集成赋权法 乘法集成法 

分 类 号：X824[环境科学与工程—环境工程]