北京航空航天大学学报 ›› 2014, Vol. 40 ›› Issue (8): 1116-1120.doi: 10.13700/j.bh.1001-5965.2013.0469

• 论文 • 上一篇    下一篇

群模糊层次分析法的改进及应用

李亮1, 龚光红1, 陈金磊2, 柳琼俊2   

  1. 1. 北京航空航天大学 自动化科学与电气工程学院, 北京 100191;
    2. 北京机电工程研究所 信息化室, 北京 100074
  • 收稿日期:2013-08-05 出版日期:2014-08-20 发布日期:2014-08-27
  • 作者简介:李亮(1985-),男,湖北鄂州人,博士生,llbuaa@163.com.
  • 基金资助:

    国家自然科学基金资助项目(61004089)

Improvement and application for group fuzzy analytic hierarchy process

Li Liang1, Gong Guanghong1, Chen Jinlei2, Liu Qiongjun2   

  1. 1. School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;
    2. Information Laboratory, Beijing Institute of Mechanical and Electrical Engineering, Beijing 100074, China
  • Received:2013-08-05 Online:2014-08-20 Published:2014-08-27

摘要: 为了解决层次分析法(AHP,Analytic Hierarchy Process)中基于专家主观评价来构造的两两判断矩阵的一致性问题,提出了一种改进的群模糊层次分析法(IGFAHP,Improved Group Fuzzy Analytic Hierarchy Process).IGFAHP引入了专家的权重系数和三角模糊数,将AHP扩展到群决策和模糊决策领域,设计了一种基于直接模糊判断矩阵的权重计算方法,通过各指标间可能度矩阵转化为实数值求解权重来改进一致性.定义了在模糊集上的一致性函数,并与AHP分别在3~9层指标上进行了对比测试.通过飞行器总体方案风险评价的实例对IGFAHP进行了应用验证.结果表明,IGFAHP相比AHP降低了使用复杂度并提高了一 致性.

Abstract: In order to solve the consistency question of the paired comparison matrix which is constructed based on expert subjective opinion in analytic hierarchy process (AHP), an improved group fuzzy analytic hierarchy process (IGFAHP) was proposed. The AHP was extended to the field of group decision and fuzzy decision by using expert weight and triangular fuzzy numbers. The index weight counting method was designed based on fuzzy direct comparison matrix, by calculating possible degree matrix and turning it to real numbers, which was an improvement for consistency. The consistency function was defined in fuzzy sets, and tested with index number from three to nine. The method was integrated and applied to evaluate the overall design of aircraft system. The result shows that the new method is effective and alleviates the use complexity.

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