Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (10): 2128-2131.doi: 10.3969/j.issn.1001-506X.2010.10.24

• 系统工程 • 上一篇    下一篇

基于区间数群决策矩阵的专家权重确定方法及其算法实现

陈晓红,刘益凡   

  1. 中南大学商学院, 湖南 长沙 410083
  • 出版日期:2010-10-10 发布日期:2010-01-03

Expert weights determination method and realization algorithm based on interval numbers group decision matrices

CHEN Xiaohong, LIU Yifan   

  1. Business School, Central South Univ., Changsha 410083, China
  • Online:2010-10-10 Published:2010-01-03

摘要:

针对专家偏好信息为区间数群决策矩阵的多属性群决策问题,提出了一种专家权重确定方法并利用自适应迭代算法实现。首先,给出了区间数和专家群决策矩阵的定义。然后,使用加权几何系数法计算专家综合权重,并通过比较专家个体与专家群体决策矩阵的偏差距离计算出专家的客观权重,经过多次迭代后得到稳定的专家客观权重与专家综合权重。最后,实例验证了该算法的可行性与有效性。

Abstract:

An expert weights determination method based on interval numbers group decision matrices is proposed and realized by utilizing the adaptive iterative algorithm for the multi-attribute group decision-making problem that the interval group decision-making matrix is the perference information of experts. Firstly, the concept of interval numbers and group decision matrices of experts is introduced. Then, the expert integrated weights using weighted geometric coefficients are calculated. Meanwhile the differences between each individual expert decision matrix and group expert decision matrix are given to determine the objective expert weights. In the end, the stable results of objective expert weights and integrated expert weights are achieved after several iterations. The feasibility and effectiveness of the proposed method are approved by an instance.