| 基于相容性的模糊判断矩阵一致性改进新方法 |
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| 引用本文： | 陈华友,刘春林. 基于相容性的模糊判断矩阵一致性改进新方法[J]. 模糊系统与数学, 2005, 19(2): 122-127 |
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| 作者姓名： | 陈华友 刘春林 |
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| 作者单位： | 安徽大学,数学系,安徽,合肥,230039;南京大学,商学院,江苏,南京,210093 |
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| 基金项目： | 安徽省教育厅自然科学基金资助项目(2005kj208)，安徽大学人才队伍建设资助项目 |
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| 摘 要： | 模糊判断矩阵是决策者给出的一种重要的偏好信息形式。根据模糊判断矩阵互补性的特点，提出一个模糊判断矩阵相容性的指标，并研究模糊判断矩阵相容性和一致性的关系，在此基础上定义了一个模糊判断矩阵与其特征矩阵的偏差矩阵，给出了一致性改进的新方法，最后进行了实例分析，结果表明该方法行之有效。
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| 关 键 词： | 模糊判断矩阵 偏差矩阵 相容性 一致性改进 |
| 文章编号： | 1001-7402(2005)02-0122-06 |
| 修稿时间： | 2003-10-13 |
A New Method of Improving the Consistency of Fuzzy Judgement Matrices Based on Compatibility |
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| CHEN Hua-you,LIU Chun-lin. A New Method of Improving the Consistency of Fuzzy Judgement Matrices Based on Compatibility[J]. Fuzzy Systems and Mathematics, 2005, 19(2): 122-127 |
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| Authors: | CHEN Hua-you LIU Chun-lin |
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| Affiliation: | CHEN Hua-you~1,LIU Chun-lin~2 |
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| Abstract: | Fuzzy judgement matrix is a kind of important preference information form provided by (decision) maker. Based on the complementary characteristics of fuzzy judgement matrix, a (compatibility) index is proposed in this paper. The relations between compatibility and consistency of (fuzzy) judgement matrices are also studied. Then a deviation matrix is defined which can reflect the (difference) of fuzzy judgement matrix and its characteristic matrix. A new method of improving the (consistency) of fuzzy judgement matrices is given. Finally, an example shows the feasibility and (effectiveness) of this method. |
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| Keywords: | Fuzzy Judgement Matrix Deviation Matrix Compatibility Consistency Improvement |
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