| 基于语言判断矩阵的一致性及其排序方法 |
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| 引用本文： | 陈侠,樊治平,陈岩.基于语言判断矩阵的一致性及其排序方法[J].系统工程,2007,25(2):106-110. |
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| 作者姓名： | 陈侠 樊治平 陈岩 |
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| 作者单位： | 1. 东北大学,工商管理学院,沈阳,辽宁,110004;沈阳航空工业学院,理学系,辽宁,沈阳,110034
2. 东北大学,工商管理学院,沈阳,辽宁,110004 |
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| 基金项目： | 国家自然科学基金;国家自然科学基金;教育部高等学校优秀青年教师教学科研奖励计划;高等学校博士学科点专项科研项目 |
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| 摘 要： | 研究语言判断矩阵的乘性一致性及方案排序问题.首先给出有关语言判断矩阵和互反判断矩阵的定义及其性质,提出语言判断矩阵一致性的定义;然后通过引进导出矩阵将语言判断矩阵转换为数值矩阵,得出语言判断矩阵具有完全一致性或弱一致性的充要条件是其转换后得到的导出矩阵也具有同样的结论.同时利用该转换公式,给出基于语言判断矩阵的方案排序方法.最后,通过一个算例说明文中提出的分析方法.
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| 关 键 词： | 语言判断矩阵 互反判断矩阵 完全一致性 满意一致性 导出矩阵 |
| 文章编号： | 1001-4098（2007）02-0106-05 |
| 修稿时间： | 2006-07-27 |
Consistency and Ranking Approach Based on Linguistic Judgment Matrices |
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| CHEN Xia,FAN Zhi-ping,CHEN Yan.Consistency and Ranking Approach Based on Linguistic Judgment Matrices[J].Systems Engineering,2007,25(2):106-110. |
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| Authors: | CHEN Xia FAN Zhi-ping CHEN Yan |
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| Institution: | School of Business Administration, Northeastern University,Shenyang 110004,China |
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| Abstract: | This paper has studied the consistency of multiplication and ranking problem based on linguistic judgment matrix. First, several concepts and characters of linguistic judgment matrices and multiplicative judgment matrices were introduced, a concept of the consistency for linguistic judgment matrix is proposed; furthermore, transforming judgment matrix with linguistic assessment information into digital matrix through introducing the educed matrices, a conclusion is obtained that the linguistic judgment matrix is complete consistent or weak consistent if and only if the educed matrix is same also. Meanwhile,a ranking approach to linguistic judgment matrix was also given based on the transforming formula. Finally ,a numerical example was given to illustrate the use of the proposed in this paper. |
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| Keywords: | Linguistic Judgment Matrix Multiplicative Judgment Matrix Complete Consistency Satisfied Consistency Educed Matrix |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
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