基于Kendall τ的赋权法在水环境评价中的应用

Application of Weighting Method with Kendall τ in Water Environment Evaluation

在进行多指标评价时,某些指标之间具有一定的相关性,将Copula理论中的和谐性指标Kendallτ计算方法进行改进,引入到赋权过程中,得到基于Kendallτ相关系数的赋权法。该方法适合于多样本多指标的评价体系,将关联性最强的指标赋予最大的权重,并将这种方法与模糊工程集理论相结合,评价了某地下水水质,结果显示该方法比较有效。

Some indexes have a certain correlation in the multi-index evaluation, This paper improves the calculation method of harmonious index Kendall τ of Copula theory and brings it to the weight assignment, then gets a new method to assign weight in evaluation called Kendall τ weight assignment. It is fit for the evaluation systems of multi-samples and multi-index. The more associated the index with others the bigger weight it has. At last, use this method and variable fuzzy sets to evaluate a groundwater quality and the result shows that this method is more effective.