Abstract: Because of the universality and importance of group decision making, the research of the judgment matrix aggregation method is an important issue of the group decision making, which is becoming more and more widely and deeply. First, in view of the diversity of the judgment matrix in the group decision making, the glowworm swarm optimization is used to solve the matrix aggregation. Then, the introduction of the consistency ratio in the objective function of the glowworm swarm optimization can reduce the subjectivity and information loss of the aggregation process. Finally, through the concrete empirical research, the improved algorithm can provide an effective and relatively uniform method for judgment matrix aggregation in group decision making.

Key words: Glowworm swarm optimization, interval-valued judgment matrix, group decision making, matrix aggregation

摘要： 针对群决策在应用中的普遍性和重要性，作为群决策重要组成部分的判断矩阵集结得到了广泛深入的研究。首先，针对群决策中判断矩阵的多样性，将萤火虫算法引入矩阵集结的求解，可以利用萤火虫算法的寻优方式来获取矩阵集结结果。其次，在萤火虫算法的目标函数中引入一致性比率以降低集结过程的主观性和信息损失。最后，通过具体的实证研究，利用改进的萤火虫算法可以为群决策中的矩阵集结提供一种有效的、相对统一的集结方法。

关键词: 萤火虫算法, 区间判断矩阵, 群决策, 矩阵集结