摘要： 针对多属性群决策问题，提出一种两阶段决策分析方法。通过分析积型模糊一致性判断矩阵和模糊判断矩阵的排序向量之间的偏差，建立并求解一个规划模型，得到专家模糊判断矩阵的排序向量。由最小化专家模糊判断矩阵的排序向量与专家群组排序向量的偏差，再次建立并求解一个规划模型，得到反映专家群组偏好的排序向量，从而得出基于模糊判断矩阵的两阶段群决策方法。通过2个算例说明了该方法的可行性与有效性。

关键词: 模糊判断矩阵, 排序向量, 群决策, 规划模型, 偏差, 型模糊一致性判断矩阵

Abstract: To solve the group decision making problems with the information about attribute weights incompletely known and fuzzy judgment matrices on attribute values, a two-step decision analysis method is proposed. According to deviation existed between sort vector of multiplicative fuzzy consistent judgment matrix and fuzzy judgment matrix, sort vector of fuzzy judgment matrix of each expert is obtained by building and solving a programming model. By minimizing the deviations between sort vectors of fuzzy judgment matrix of each expert and fuzzy judgment matrix of group experts, sort vector of group experts is obtained by building and solving a programming model. And a two-step method of group decision making based on fuzzy judgment matrices is obtained. Two examples are used to illustrate the feasibility and applicability of the proposed method.

Key words: fuzzy judgment matrix, sort vector, group decision making, programming model, deviation, multiplicative fuzzy consistent judgment matrix

中图分类号: 

• O223