基于层次分析法的足球俱乐部综合评价

Comprehensive Evaluation of Football Clubs Based on Analytic Hierarchy Process

本文选择联赛成绩、欧冠成绩、球星身价、教练水平、商业价值和球迷数量作为12支足球俱乐部的评价指标,并对这6个评价指标进行了量化处理和标准化处理。建立了基于层次分析法的模糊综合评价模型。计算了每个评价指标的相对隶属度的模糊评价矩阵;构造了用于确定各评价指标权重的判断矩阵,并对判断矩阵的一致性进行了检验;计算出各评价指标的权重。最后,得到模糊综合评价指标值,得出12支俱乐部量化评价后的综合得分排名。

In this paper, the League scores, the champions League scores, the coaching level, the business value, and the number of fans, are selected as the evaluation indicators of 12 football clubs. The six evaluation indicators are quantified and standardized. A fuzzy comprehensive evaluation model based on analytic hierarchy process (AHP) is established. At first, the fuzzy evaluation matrix of relative membership degree of a single evaluation index is computed. Then, a judgment matrix is constructed to determine the weight of each evaluation index. Simultaneously, the consistency of the judgment matrix is tested and the weight of each evaluation are calculated. Finally, the fuzzy comprehensive evaluation index value is calculated, and the comprehensive score ranking of 12 clubs is obtained.