[1]徐泽水,达庆利.衡量判断矩阵相容性的一个通用指标[J].东南大学学报(自然科学版),2001,31(6):94-97.[doi:10.3969/j.issn.1001-0505.2001.06.023]
 Xu Zeshui,Da Qingli.A Common Compatibility Index of Judgement Matrices[J].Journal of Southeast University (Natural Science Edition),2001,31(6):94-97.[doi:10.3969/j.issn.1001-0505.2001.06.023]
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衡量判断矩阵相容性的一个通用指标()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
31
期数:
2001年第6期
页码:
94-97
栏目:
数学、物理学、力学
出版日期:
2001-11-20

文章信息/Info

Title:
A Common Compatibility Index of Judgement Matrices
作者:
徐泽水12 达庆利1
1 东南大学经济管理学院, 南京 210096; 2 解放军理工大学理学院, 南京 210016
Author(s):
Xu Zeshui12 Da Qingli1
1 College of Economics and Management, Southeast University, Nanjing 210096, China; 2 Institute of Sciences, PLA University of Science and Technology, Nanjing 210016, China)
关键词:
判断矩阵 相容性 一致性 权重矩阵
Keywords:
judgement matrix compatibility consistency weight matrix
分类号:
O223,C934
DOI:
10.3969/j.issn.1001-0505.2001.06.023
摘要:
首先介绍了互反判断矩阵与互补判断矩阵之间的转换公式, 以及完全一致性互反判断矩阵和完全一致性互补判断矩阵之间的关系. 然后在综合考虑互反判断矩阵与互补判断矩阵各自特点的基础上, 给出了衡量判断矩阵(包括互反判断矩阵和互补判断矩阵)相容性的一个通用指标, 以及互反权重矩阵和互补权重矩阵等概念. 对判断矩阵的相容性和一致性详细地进行了研究, 并给出了衡量判断矩阵相容性准则. 这些结果在群组决策中具有良好的应用前景, 有助于进一步提高决策的合理性和有效性. 最后进行了算例分析.
Abstract:
This paper first presents the transformation formulas of reciprocal judgement matrix and complementary judgement matrix, and then points out the relationship between the perfectly consistent reciprocal judgement matrix and the perfectly consistent complementary judgement matrix. Based on the characteristics of reciprocal judgement matrix and complementary judgement matrix, a common compatibility index of judgement matrices (reciprocal judgement matrices and complementary judgement matrices) and the concept of reciprocal weight matrix and complementary weight matrix are given. The compatibility and consistency of judgement matrices are studied in detail, and a criterion to measure the compatibility of judgement matrices is also provided. These results can help to improve the reasonability and effectiveness of decision, and thus have great practical application prospect in group decision making. Finally, a numerical example is given.

参考文献/References:

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备注/Memo

备注/Memo:
作者简介:徐泽水,男,1968年生,讲师,博士研究生.
基金项目:国家自然科学基金资助项目(79970093).
更新日期/Last Update: 2001-11-20