[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):659-662.[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(4):659-662.[doi:10.3969/j.issn.1001-0505.2002.04.028]
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互补判断矩阵排序的广义χ2()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
32
期数:
2002年第4期
页码:
659-662
栏目:
经济与管理
出版日期:
2002-07-20

文章信息/Info

Title:
Generalized chi square method for priorities of complementary judgement matrices
作者:
孔松泉 达庆利 徐泽水
东南大学经济管理学院, 南京 210096
Author(s):
Kong Songquan Da Qingli Xu Zeshui
College of Economics and Management, Southeast University, Nanjing 210096, China
关键词:
互补判断矩阵 广义χ2方法 排序
Keywords:
complementary judgement matrix generalized chi square method priority
分类号:
C934
DOI:
10.3969/j.issn.1001-0505.2002.04.028
摘要:
基于完全一致性互补判断矩阵的定义, 以及互反判断矩阵与互补判断矩阵完全一致性定义之间的转换公式, 证明了若干定理, 提出了互补判断矩阵排序的广义χ22方法, 研究了它的一些优良性质, 如: 强条件下保序性等, 给出了一个简洁的收敛性迭代算法, 并把上述结论推广到群体决策中. 人们在实际应用过程中, 可根据不同的决策问题, 适当地选取算法中的参数α, 以便作出合理的决策. 最后给出了一个算例.
Abstract:
Based on the definition of perfectly consistent complementary judgement matrix and a formula for transferring the definitions of perfect consistency of reciprocal judgement matrix and complementary judgement matrix, some theorems were proven, and generalized chi square method for priorities of complementary judgement matrices is proposed. Some properties, such as rank preservation under strong condition etc., were studied. A simple convergent iterative algorithm is given. These results are extended to accommodate group decision making. In practical applications, people can make rational decisions by taking proper values of α in the algorithm according to different decision-making problems. Finally, a numerical example is given.

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相似文献/References:

[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.[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(4):106.[doi:10.3969/j.issn.1001-0505.2001.05.023]

备注/Memo

备注/Memo:
作者简介: 孔松泉(1963—),男,博士生; 达庆利(联系人), 男, 教授, 博士生导师, dql@public1.ptt.js.cn.
更新日期/Last Update: 2002-07-20