关键词: 大群体决策, 不确定偏好, 集对分析, 联系数, 区间聚类算法

Abstract: For large group decision making problems with different kinds of uncertain preference, a group decision making method is put forward based on set pair analysis. Three kinds of uncertain preference, thus the interval number, triangular fuzzy number and linguistic value, are transformed into contact numbers, which retained the certainty and uncertainty of uncertain preference.Aninterval clustering algorithm has been put forward, and it is used to assign weights to the members under the situation that the decision weights of the members are unknown. The weighted comprehensive connection numbers are used to aggregate thepreference of large group. Thenthe order of the schemes is given according to the potential size of the schemes.This method has avoided the subjectivity while the weight is given. At the same time, it considers the certainty and uncertainty of the decision information, and improves the credibility of the decision results. Finally an example proves the validity and practicability of the method.

Key words: large group decision, uncertain preference, set pair analysis, connection numbers, interval clustering algorithm