An Improved Weighted TOPSIS Method and Its Application Based on Grey Relational Coefficient

Classical TOPSIS method can't incarnate the comparability between the different projects.This paper proposes an improved weighted TOPSIS method based on the grey relational coefficient.This method integrates the advantage of TOPSIS and grey relation analysis on the curve position and the curve trend.Firstly calculate the grey relational coefficient and then to calculate its ideal point and the close degree.Considering the maneuverability and the simpleness of the existing weight method,this paper proposes G-AHP method which combines the multi-decision and AHP method.Finally this paper uses the above method to evaluate Chinese nine airways' service quality and then compares the result with the classical TOPSIS method.The result indicates that the improved method can incarnate the requirement of stability and client prefer.And the result is consistent with the authority organization's conclusion.