基于灰色关联系数矩阵的TOPSIS模型在水环境质量评价中的应用

为了克服TOPSIS模型在多指标决策过程中的不足，本文提出了一种水质评价的改进TOPSIS模型。以原始数据样本与理想方案之间的灰色关联系数矩阵为新的决策矩阵，利用理想解法对方案进行排序。克服了传统理想解法仅仅基于原始数据，难以挖掘数据内在规律的缺点，为有限样本条件下的决策问题提供了新思路。同时提出了用AHP法和熵值法组合赋权的方法，克服了传统主、客观赋权方法的缺点。运用本文建立的评价模型，通过在河流水质评价中的应用，表明其结果合理，计算简单，具有很好的应用前景。

Application of TOPSIS Model Based on Gray Correlation Coefficient Matrix in the Evaluation of Water Environmental Quality

A new TOPSIS model which based on the gray correlation coefficient matrix is presented in order to overcome the deficiency in more indicator of decision-making process.The method takes the gray correlation coefficient matrix between primitive data sample and ideal scheme as new decision-making matrix,and then TOPSIS is used to evaluate and arrange all schemes.This method overcomes the traditional TOPSIS shortcoming of difficulty to excavae the inherent law of the data.Meanwhile,AHP and entropy methods were ...