| 一致性互反Fuzzy判断矩阵的传递性 |
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| 引用本文： | 许若宁,翟晓燕.一致性互反Fuzzy判断矩阵的传递性[J].模糊系统与数学,2008,22(6). |
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| 作者姓名： | 许若宁 翟晓燕 |
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| 作者单位： | 1. 广州大学,数学与信息科学学院,广东,广州,510006
2. 广东外语外贸大学,国际工商管理学院,广东,广州,510420 |
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| 基金项目： | 广东省自然科学基金资助项目
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| 摘 要： | 研究矩阵元素为Fuzzy数的互反判断矩阵的传递性质.首先得到了判断两个Fuzzy数近似相等的等价条件,并得到了揭示Fuzzy数的核之间关系的一个充要条件.在此基础上,进一步证明了一致性互反Fuzzy判断矩阵具有传递性的两个结论.这两个结论说明:在层次分析法中,用一致性互反Fuzzy判断矩阵表示一组方案在同一目标下的两两重要性比较是符合理性决策的思维特征的.
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| 关 键 词： | 层次分析法 多准则决策 互反Fuzzy判断矩阵 传递性 |
Transitivity of Consistent Reciprocal Fuzzy Judgment Matrix |
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| XU Ruo-ning,ZHAI Xiao-yan.Transitivity of Consistent Reciprocal Fuzzy Judgment Matrix[J].Fuzzy Systems and Mathematics,2008,22(6). |
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| Authors: | XU Ruo-ning ZHAI Xiao-yan |
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| Institution: | XU Ruo-ning1,ZHAI Xiao-yan2 (1.School of Mathematics , Information Sciences,Guangzhou University,Guangzhou 510006,China,2.School of Management,Guangdong University of Foreign Studies,Guangzhou 510420,China) |
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| Abstract: | The aim of this paper is to concentrate on the characteristic of reciprocal fuzzy judgment matrix itself.Firstly,we define the approximate equal of two fuzzy numbers and the concept of consistency about fuzzy judgment matrix.After exploring the relations of fuzzy numbers,we obtain respectively two necessary and sufficient conditions,one is on approximate equal of two fuzzy numbers,and another is on the relation of the kernel of fuzzy numbers.On this basis,we prove the transitivity of consistent reciprocal f... |
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| Keywords: | Analytic Hierarchy Process Multi-criteria Decision Reciprocal Fuzzy Judgment Matrix Transitivity |
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