Application of the TOPSIS Method and Gray Correlation Model in the Competitiveness Evaluation of Basketball Teams

The technique for order preference by similarity to an ideal solution (TOPSIS) method is frequently used in multi-factor selection, whereas the gray correlation analysis method is used to study uncertain systems. Thus, a comprehensive model is constructed for 12 teams that are participating in the 2012 London Olympic Games, and the competitiveness of each team is evaluated through these two methods. Results show that the American team is strong enough to win. Furthermore, the evaluation results of the other teams were fundamentally similar to the final results, although they also differed. This model can also reflect the strength of each team objectively in terms of offense, defense, and a combination of both pass and exclude subjective interferences. Therefore, this model feasibly assesses multi-factor competition events in the field of sports.