# [1]徐泽水,达庆利.3种基于互反判断矩阵的互补判断矩阵排序法[J].东南大学学报(自然科学版),2001,31(5):106-109.[doi:10.3969/j.issn.1001-0505.2001.05.023] 　Xu Zeshui,Da Qingli.Three Reciprocal Judgement Matrices-Based Methods for Priorities of Complementary Judgement Matrices[J].Journal of Southeast University (Natural Science Edition),2001,31(5):106-109.[doi:10.3969/j.issn.1001-0505.2001.05.023] 点击复制 3种基于互反判断矩阵的互补判断矩阵排序法() 分享到： var jiathis_config = { data_track_clickback: true };

31

2001年第5期

106-109

2001-09-20

## 文章信息/Info

Title:
Three Reciprocal Judgement Matrices-Based Methods for Priorities of Complementary Judgement Matrices

Author(s):
College of Economics and Management, Southeast University, Nanjing 210096, China)

Keywords:

C934
DOI:
10.3969/j.issn.1001-0505.2001.05.023

Abstract:
This paper introduces the transformation formulas of reciprocal judgement matrix and complementary judgement matrix, and presents the relationship between the perfectly consistent reciprocal judgement matrix and perfectly consistent complementary judgement matrix. Based on the priority methods of three reciprocal judgement matrices, three methods for priorities of complementary judgement matrices are proposed, and their desired properties such as rank preservation under strong condition, etc. are studied. These three priority methods are also extended to group decision-making. The methods supplement and develop the theory and methodology of priority of complementary judgement matrices. The theoretic analyses and numerical results show that the methods are simple, feasible, and can be performed on computer easily.

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## 相似文献/References:

[1]孔松泉,达庆利,徐泽水.互补判断矩阵排序的广义χ2法[J].东南大学学报(自然科学版),2002,32(4):659.[doi:10.3969/j.issn.1001-0505.2002.04.028]
Kong Songquan,Da Qingli,Xu Zeshui.Generalized chi square method for priorities of complementary judgement matrices[J].Journal of Southeast University (Natural Science Edition),2002,32(5):659.[doi:10.3969/j.issn.1001-0505.2002.04.028]