Improved TOPSIS Model and its Application in the Evaluation of NCAA Basketball Coaches

Abstract

Traditional TOPSIS model has some disadvantages, such as correlations between criteria, uncertainty in obtaining the weights only by objective methods or subjective methods and possibility of alternative closed to ideal point and nadir point concurrently, and many solutions have been proposed regarding these disadvantages. This paper presents a more systematic TOPSIS model, in which the correlations between criteria were overcome by a new method on evaluation index system based on R cluster analysis. It also proposes a combination weighting method which has considered subjective potency of human and the variance in the data. Besides, the possibility of alternative closed to ideal point and nadir point concurrently was avoided by vertical projection method and the measurement of similarity to solution was simplified by vertical projection distance. The feasibility and validity of this improved TOPSIS model were testified by the evaluation of NCAA basketball coaches after 1939.