基于最优一致性矩阵的灰色层次分析法研究-计算机工程与应用.PDF

44 2017 ，53（18） Computer Engineering and Applications 计算机工程与应用 基于最优一致性矩阵的灰色层次分析法研究 用 任胜兵，冯 迪，陈潇男 应 REN Shengbing, FENG Di, CHEN Xiaonan 与 中南大学 软件学院 嵌入式系统与网络实验室，长沙 410075 程 Embedded Systems and Network Laboratory, School of Software, Central South University, Changsha 410075, China g 工 r o REN Shengbing, FENG Di, CHEN Xiaonan. Grey analytic hierarchy process using optimal transfer matrix. Com- . puter Engineering and Applications, 2017, 53 （18）：44-50. j 机 a 算 e Abstract ：In view of the problem that the evaluation scale is hard to grasp and the consistency check is difficult to pass in c . the traditional analytic hierarchy process, this paper puts forward the 3 scale method, builds the experts judgment matrix, 计 w 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 informa- w tion is partial unknown combined with grey system theory. The model uses the evaluation of classroom liveness as a spe- w cific 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