模糊数学综合评判法中指标权重和算法的优选  

Determining Index Weight of Fuzzy Mathematics Comprehensive Evaluation Method and Composite Algorithm Optimization

作　　者：张院[1,2] 寇文杰[2] 

机构地区：[1]北京大学地球与空间科学学院,北京100871 [2]北京市水文地质工程地质大队,北京100195

出　　处：《人民黄河》2015年第7期64-67,共4页Yellow River

基　　金：北京市科委2009年度科技计划项目(D090409004009004-2)

摘　　要：以位于永定河东岸某垃圾填埋场地下水监测井的实测数据为基础,利用模糊数学综合评判法中的超标法和聚类权法确定了水质评价指标的权重矩阵,结合相乘相加法、相乘取大法、取小相加法和取小取大法进行了权重与隶属度的模糊运算,与内梅罗指数评价法、单因子评价法进行了对比,结果表明:利用超标法和聚类权法确定指标权重值均具有合理性;模糊运算中相乘相加法和相乘取大法重复考虑了污染物的浓度,结果不甚合理;取小相加法和取小取大法去除了隶属度和权重指标中的重复因素,分别削弱和突出了极值的作用,结果较为合理。Based on the measured date from landfill groundwater monitoring well located in the east of Yongding River,using fuzzy compre hensive evaluation clustering weight method and exceed the standard method to determine the weight matrix of water quality evaluation,com bined with the method do multiplication then do add do multiplication then choice big choice big then do add choice small then choice big,carried out weight and membership grade of fuzzy operation,comparing with the Nemerow index method and single factor index evaluation method,the results show that exceed the standard index and clustering weight method are reasonable;in Fuzzy operation do multiplication then choice big method and do multiplication then do add method repeated consideration the index of concentration,the result is not very rea sonable;choice big then do add method and choice small then choice big method remove duplicate elements in index membership grade and weight,weaken and highlights the role of extreme value is relatively reasonable.

关 键 词：内梅罗指数评价法 单因子评价法 超标法 聚类权法 模糊数学综合评判法 指标权重 地下水质量评价 

分 类 号：TV213.4[水利工程—水文学及水资源]