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 used to decide the weight of every decision-making index. This overcomes the subjectivity or objectivity of traditional entropy decision methods. The new evaluation model is used in water quality in this paper. The result of adapts adapts to the evaluation of water quality.