| 语言判断矩阵的满意一致性判定方法 |
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| 引用本文： | 唐燕武,陈华友. 语言判断矩阵的满意一致性判定方法[J]. 合肥工业大学学报(自然科学版), 2010, 33(4) |
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| 作者姓名： | 唐燕武 陈华友 |
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| 作者单位： | 安庆师范学院数学与计算科学学院,安徽,安庆,246133;安徽大学数学科学学院,安徽,合肥,230039;安徽大学数学科学学院,安徽,合肥,230039 |
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| 基金项目： | 国家自然科学基金,安徽省优秀青年科技基金,安徽省自然科学基金,安徽省高等学校青年教师科研资助计划,安徽省高等学校省级自然科学研究一般资助项目 |
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| 摘 要： | 文章研究了语言判断矩阵的满意一致性及方案排序问题,在给出语言判断矩阵及其满意一致性概念的基础上,提出语言判断矩阵的导出矩阵和偏好关系矩阵的概念,由此建立语言判断矩阵满意一致性的判定方法,依据所给出的判定方法,得出关于语言判断矩阵的方案优劣的排序方法,最后通过算例说明了该方法的有效性。
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| 关 键 词： | 语言判断矩阵 偏好关系矩阵 满意一致性 导出矩阵 |
A method for determining satisfying consistency of linguistic judgment matrices |
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| TANG Yan-wu,CHEN Hua-you. A method for determining satisfying consistency of linguistic judgment matrices[J]. Journal of Hefei University of Technology(Natural Science), 2010, 33(4) |
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| Authors: | TANG Yan-wu CHEN Hua-you |
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| Abstract: | This paper studies the satisfying consistency and ranking of linguistic judgment matrix.Based on the conceptions of linguistic judgment matrix and its satisfying consistency,the connotations of induced matrix and preference relation matrix are presented.Furthermore,a judgment method is presented to determine whether the linguistic judgment matrix has satisfying consistency.According to the judgment method,the approach for ranking alternatives based on the linguistic judgment matrix is also obtained.Finally,an example shows the effectiveness of the proposed method. |
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| Keywords: | linguistic judgment matrix preference relation matrix satisfying consistency induced matrix |
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