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群模糊层次分析法的改进及应用

李亮 龚光红 陈金磊 柳琼俊

李亮, 龚光红, 陈金磊, 等 . 群模糊层次分析法的改进及应用[J]. 北京航空航天大学学报, 2014, 40(8): 1116-1120. doi: 10.13700/j.bh.1001-5965.2013.0469
引用本文: 李亮, 龚光红, 陈金磊, 等 . 群模糊层次分析法的改进及应用[J]. 北京航空航天大学学报, 2014, 40(8): 1116-1120. doi: 10.13700/j.bh.1001-5965.2013.0469
Li Liang, Gong Guanghong, Chen Jinlei, et al. Improvement and application for group fuzzy analytic hierarchy process[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(8): 1116-1120. doi: 10.13700/j.bh.1001-5965.2013.0469(in Chinese)
Citation: Li Liang, Gong Guanghong, Chen Jinlei, et al. Improvement and application for group fuzzy analytic hierarchy process[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(8): 1116-1120. doi: 10.13700/j.bh.1001-5965.2013.0469(in Chinese)

群模糊层次分析法的改进及应用

doi: 10.13700/j.bh.1001-5965.2013.0469
基金项目: 

国家自然科学基金资助项目(61004089)

详细信息
    作者简介:

    李亮(1985-),男,湖北鄂州人,博士生,llbuaa@163.com.

  • 中图分类号: TP301.6

Improvement and application for group fuzzy analytic hierarchy process

  • 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.

     

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出版历程
  • 收稿日期:  2013-08-05
  • 网络出版日期:  2014-08-20

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