| 基于乘性模糊互补判断矩阵的FAHP |
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| 引用本文： | 吕跃进,蒋建军,刘洪梅. 基于乘性模糊互补判断矩阵的FAHP[J]. 模糊系统与数学, 2012, 26(2): 98-104 |
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| 作者姓名： | 吕跃进 蒋建军 刘洪梅 |
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| 作者单位： | 广西大学数学与信息科学学院,广西南宁,530004 |
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| 基金项目： | 国家自然科学基金资助项目，广西研究生教育创新项目 |
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| 摘 要： | 根据乘性一致性的定义,从人的主观判断与其权重的函数关系出发,获得了乘性模糊互补判断矩阵的元素表达式,论证了利用乘性模糊互补判断矩阵求取因素相对权重的可行性,最后给出了一种基于乘性一致模糊判断矩阵的排序方法.从而使得乘性模糊互补判断矩阵的应用的理论基础更加坚实.
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| 关 键 词： | 模糊层次分析法 模糊互补判断矩阵 乘性一致性 |
FAHP Based on Multiplicative Consistency Fuzzy Complementary Judgment Matrix |
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| LV Yue-jin , JIANG Jian-jun , LIU Hong-mei. FAHP Based on Multiplicative Consistency Fuzzy Complementary Judgment Matrix[J]. Fuzzy Systems and Mathematics, 2012, 26(2): 98-104 |
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| Authors: | LV Yue-jin JIANG Jian-jun LIU Hong-mei |
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| Affiliation: | (College of Mathematics and Information Science,Guangxi University,Nanning 530004,China) |
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| Abstract: | In this essay,firstly,according to the multiplicative consistency,the expression of the element of multiplicative fuzzy complementary judgment matrix is obtained from the functional relation between the subjective judgment and the relative weightiness of the objects.And then the feasibility to generate the relative weightiness of elements by multiplicative consistency fuzzy complementary judgment matrix is demonstrated.Finally,a method for ranking based on multiplicative consistency fuzzy complementary judgment matrix is put forward.Accordingly the theoretical basis of the application of multiplicative consistency fuzzy complementary judgment matrix becomes more stable. |
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| Keywords: | FAHP Fuzzy Complementary Judgment Matrix Multiplicative Consistency |
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