关键词: 最优一致性矩阵, 灰色层次分析法, 相对重要度, 灰色系统理论, 课堂活跃度

Abstract: In view of the problem that the evaluation scale is hard to grasp and the consistency check is difficult to pass in the traditional analytic hierarchy process, this paper puts forward the 3 scale method, builds the experts judgment matrix, which is transformed into the optimal transfer matrix, finally into the optimal consistency matrix to obtain the relative important degree. It can model the grey and fuzzy decision problem whose information is partial known while the information is partial unknown combined with grey system theory. The model uses the evaluation of classroom liveness as a specific example to demonstrate the application process of above method, which is compared with the traditional grey analytic hierarchy process and similar method. The contrast shows that the ratio degree of importance is more accurately grasped by experts after the optimal consistency matrix is imported into grey analytic hierarchy process, the complicated steps of consistency check is also clearly simplified.

Key words: optimal transfer matrix, grey analytic hierarchy process, relative important degree, grey system theory, classroom liveness