水质评价涉及的因子权重与定权方法  

Factors Involved in the Re-Evaluation of the Right to Water and Given the Right Approach

作　　者：刘开第[1] 张新 刘昕 庞彦军[1] 金斓[1] 

机构地区：[1]河北工程大学不确定信息研究所,河北邯郸056038 [2]中国科院遥感应用研究所,北京100093

出　　处：《数学的实践与认识》2015年第2期175-183,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61375002;61375003)

摘　　要：水质评价涉及属性权与熵权两种权重.熵权表征因子的分类能力,由因子的隶属度向量通过计算信息熵确定.属性权表征因子重要性程度的差异,用途是使不同因子的隶属度具有"可比性",但定权方法众说不一.指出,因子重要性程度差异源于因子属性与因子取值无关,并且表征这种差异等同于对因子接重要性排序.AHP的比例标度判断矩阵为因子排序提供了合理的数据条件,但基于"一致性检验"的特征根排序法受到质疑;FAHP也因没有彻底摆脱"一致性",所以建立的排序方法有局限性.为此,通过标度变换将比例标度转化为评分标度,利用评分标度的可加性把判断矩阵中由评分标度确定的因子的序关系转化为因子排序.由此建立不受"一致性"干扰的定权方法.water quality evaluation involves both property rights and entropy weights. En- tropy weights present classification capability of factors, which are determined by membership vector of factors through calculating. Property rights present differences of degree of impor- tance of factors, which is to make membership of different factors have a ＂comparable＂. But there are many different versions of right approach. The paper points out that the difference of degree of importance roots in factor property and it is nothing to do with factor value. Besides the paper presents that the characterization of this difference equates to ordering the factors by importance. The scale judgment matrix of AHP provides reasonable data sorting condition but the sorting method basing on ＂consistency check＂ is questioned. The sorting method provided by FAHP is also limited due to influence of ＂consistency check＂. Thus the paper establishes the right approach without interference of consistency through scaling trans- formation and transforming order relation determined by rating scale in judgment matrix into factor sorts using the additive of rating scale.

关 键 词：水质评价 因子权重 判断矩阵 标度变换 可加性 

分 类 号：X824[环境科学与工程—环境工程]