[1]陆金伟,达庆利.用于群体决策的一种统计迭代方法[J].东南大学学报(自然科学版),1999,29(6):89-93.[doi:10.3969/j.issn.1001-0505.1999.06.020]
 Lu Jinwei,Da Qingli.A Statistical and Iterative Method for Group Decision Making[J].Journal of Southeast University (Natural Science Edition),1999,29(6):89-93.[doi:10.3969/j.issn.1001-0505.1999.06.020]
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用于群体决策的一种统计迭代方法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
29
期数:
1999年第6期
页码:
89-93
栏目:
数学、物理学、力学
出版日期:
2000-11-20

文章信息/Info

Title:
A Statistical and Iterative Method for Group Decision Making
作者:
陆金伟1 达庆利2
1 东南大学机械工程系,南京 210096; 2 东南大学经济管理学院, 南京 210096
Author(s):
Lu Jinwei1 Da Qingli2
1 Department of Mechanical Engineering, Southeast University, Nanjing 210096
2 College of Economic and Managment, Southeast University, Nanjing 210096
关键词:
层次分析法 群体决策 极大似然估计 统计迭代
Keywords:
AHP group decision making maximum likelihood estimate statistical iteration
分类号:
O212.2
DOI:
10.3969/j.issn.1001-0505.1999.06.020
摘要:
基于层次分析法对统计性群体决策问题进行了研究.首先建立了群体决策的概率模型; 然后按判断矩阵是方阵和上三角阵的2种情况,用极大似然法推导出由各个体判断矩阵求群体权矢量的几种迭代公式; 接着对一个数例,用若干种公式进行了计算比较.
Abstract:
A statistical and iterative method for group decision making on the base of AHP is developed. A probabilistic model for group decision making is built, then in the two cases that pairwise comparison matrix is of both square and triangular, respectively, some iterative formula for a group weight vector from individual pairwise matrices are derived by the maximum likelihood method, further on an example, the above formula are used to obtain group weight vectors.

参考文献/References:

[1] Iacocca Institute.21st Century manufacturing enterprise strategy.Lehigh University,Bethlehem,USA,1991.43~56
[2] Basak I,Saaty T.Group decision making using the analytic hierarchy process.Math Comput Modelling,1993,17(4/5):101~109
[3] Ramanathan R.Stochastic decision making using multiplicative AHP.European Journal of Operational Research,1997,97:543~549
[4] Honert R C,Lootsma F A.Group preference aggregation in the multiplicative AHP — the model of the group decision process and Pareto optimality.European Journal of Operational Research,1996,96:363~370
[5] Vargas L G.Reciprocal matrices with random coefficients.Mathematical Modelling,1982,3:69~81

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 Xu Zeshui,Wu Yingyu,Da Qingli.Improved normalizing rank aggregation method for priorities[J].Journal of Southeast University (Natural Science Edition),2004,34(6):518.[doi:10.3969/j.issn.1001-0505.2004.04.022]
[2]陆金伟,达庆利.基于最小矩阵距离准则的一种群体决策方法[J].东南大学学报(自然科学版),1998,28(6):79.[doi:10.3969/j.issn.1001-0505.1998.06.016]
 Lu Jinwei,A Group Decision Making Method Based on the Minimum Matrix Distance Criterion[J].Journal of Southeast University (Natural Science Edition),1998,28(6):79.[doi:10.3969/j.issn.1001-0505.1998.06.016]

备注/Memo

备注/Memo:
第一作者:男,1960年生,博士,副教授.
更新日期/Last Update: 1999-11-20