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基于最优一致性矩阵的灰色层次分析法研究

任胜兵 冯迪 陈潇男

计算机工程与应用2017,Vol.53Issue(18):44-50,7.
计算机工程与应用2017,Vol.53Issue(18):44-50,7.DOI:10.3778/j.issn.1002-8331.1605-0143

基于最优一致性矩阵的灰色层次分析法研究

Grey analytic hierarchy process using optimal transfer matrix

任胜兵 1冯迪 1陈潇男1

作者信息

  • 1. 中南大学 软件学院 嵌入式系统与网络实验室,长沙 410075
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摘要

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 informa-tion is partial unknown combined with grey system theory. The model uses the evaluation of classroom liveness as a spe-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.

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

Key words

optimal transfer matrix/grey analytic hierarchy process/relative important degree/grey system theory/class-room liveness

分类

信息技术与安全科学

引用本文复制引用

任胜兵,冯迪,陈潇男..基于最优一致性矩阵的灰色层次分析法研究[J].计算机工程与应用,2017,53(18):44-50,7.

基金项目

国家自然科学基金面上项目(No.61272151) (No.61272151)

湖南省教改项目(No.2013-223-29). (No.2013-223-29)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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