期刊导航

论文摘要

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

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

作者:张军(四川大学)

Author:Zhang Jun(sichuan university)

收稿日期:2008-11-01          年卷(期)页码:2009,41(4):97-101

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:灰色关联系数矩阵, TOPSIS,组合权重,水质评价

Key words:gray correlation coefficient matrix, TOPSIS, combinatorial entropy weight,water quality evaluation

基金项目:四川省科技计划项目(2008JY0040)

中文摘要

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。

英文摘要

A new TOPSIS model which based on the gray correlation coefficient matrix was presented in order to overcome the deficiency in more indicator of decision-making process. The method took the gray correlation coefficient matrix between primitive data sample and ideal scheme as new decision-making matrix,and then TOPSIS was used to evaluate and arrange all schemes. This method overcame the traditional TOPSIS shortcoming of excavating the inherent law of the data difficultly. Meanwhile, AHP and entropy methods were used to decide the weight of every decision-making index. This overcame the subjectivity or objectivity of traditional entropy decision methods. The new evaluation model was used in water quality in this paper. The result of application adapt to the evaluation of water quality.

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