Abstract
The athletic ability evaluation on professional football teams is a complicated decision-making process with multi-attribute and at multi-level. Fuzzy decision information during the analysis of athletic ability of professional football teams is studied with the combination of qualitative and quantitative methods and an athletic ability evaluation model is proposed based on the extension theory. Firstly, factors that influence the athletic ability of professional football teams are analysed, according to which the evaluation indictors are confirmed. Secondly, based on the extension theory, the matter-element model is established to analyse the athletic ability of professional football teams. The matter-element models for classic domain and for sector domain are constructed according to the grade of the athletic ability. Next, the extension correlation degree is computed according to the extension distance and the extension correlation coefficient between the object under evaluation and the classic domain or the sector domain of indicators. From the extension correlation degree, the object can be evaluated. Last but not the least, the model is verified through a case study.
