A Mathematical Model of Ranking Coaches

This paper gives a mathematical model to evaluate a college coach by use of a fuzzy hierarchical evaluation approach. In this approach, an analytic hierarchy process (AHP) is first used to give a proper weight for each influential factor. Then these weights are applied in computing the grade of a coach by use of a fuzzy comprehensive evaluation. Meanwhile, an impact factor is introduced to reflect some social influences like commercial value, popularity and devotion, which are normally hard to be quantified. The accuracy of the impact factor is guaranteed by cluster analysis of coaches' active years. Finally, an experimental sample of this model is shown for comparison with other ranking results.