摘要
本文研究层次分析法中的群决策问题.文中对由多个判断决策者给出的多个判断矩阵,通过求解线性规划的方法先综合成一个完整的判断矩阵,然后以此判断矩阵的权向量作为群体判断时权向量的一种最优逼近;通过对群体判断矩阵的一致性问题进行讨论,又给出了一种加权线性规划算法。理论分析和应有实例均表明,应用线性规划和加权线性规划法求解群体判断矩阵是可行的.
This paper studies the group decision-making problem in Analytical Hierarchy Process.By solving a linear programming composed of many comparison matrixes given by decision-makers,a synthetic comparison matrix is obtained.Based on it,we gain a optimal priority of Group-AHP.The eonsistency Problem of group comparison matrixes is also discussed,and a weight linear Programming method is presented accordingly.Finally,the approaches are illustrated to be feasible and effective through an example.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
1990年第6期58-63,共6页
Journal of Southeast University：Natural Science Edition
关键词
群决策
判断矩阵
线性规划
一致性
linear programming/group decision making
comparison matrix
consistency test
