引用本文: |
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兰继斌,王中兴,乐琦.一种含参数的模糊互补判断矩阵元素与优先权重的逻辑关系[J].广西科学,2007,14(3):213-216. [点击复制]
- LAN Ji-bin,WANG Zhong-xing,YUE Qi.A Logic Relation of Elements in Fuzzy Complementary Judgment Matrix with Parameter and Priorities[J].Guangxi Sciences,2007,14(3):213-216. [点击复制]
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摘要: |
基于一致性转换公式,揭示一种含参数的模糊互补判断矩阵的元素与优先权重新的逻辑关系.阐述一致性及标度仅能确定方案的序关系,不能确定方案的优先权重等重要结论,进而拓展了模糊层次分析法.说明合理的选择参数α,能很大程度地满足决策者对客观事物的信息偏好,纠正人们对模糊层次分析法优先权重确定的某些错误认识. |
关键词: 模糊层次分析法 优先权重 模糊判断矩阵 |
DOI: |
投稿时间:2006-09-21 |
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A Logic Relation of Elements in Fuzzy Complementary Judgment Matrix with Parameter and Priorities |
LAN Ji-bin, WANG Zhong-xing, YUE Qi
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(College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
Abstract: |
Based on the consistent transformation formula, the logic relation of elements of fuzzy consistent complementary judgment matrix containing parameter with priority is pointed out.It can explain why the scales and condition of consistency can be only used to determine the order of alternatives, but not priorities.The fuzzy analytical hierarchy process (FAHP) is extended.The rational choice of parameter α can satisfy the decision maker's information preference.Some false cognitions in determining the priorities of fuzzy analytical hierarchy process is rectified. |
Key words: fuzzy analytical hierarchy process (FAHP) priority fuzzy complementary judgment matrix |