基于区间模糊数的多阶段冲突型大群体应急决策方法

A Multi-stage Conflict Style Large Group Decision-making Emergency Method Based on Interval Fuzzy Number

针对阶段权重未知且偏好信息表示为区间模糊数的多阶段大群体应急决策问题,提出一种新的群决策方法。首先给出了区间模糊数相似度公式,利用该公式对各阶段的专家偏好信息进行聚类;然后构建相对熵优化模型对聚集权重和阶段权重进行求解,得到整个决策过程的综合群体偏好,根据综合群体偏好对备选方案进行排序,确定最佳方案;最后通过算例对该方法的有效性和可行性进行验证。

For the multi-period large group emergency decision-making problem that stage weights are unknown and preference information is interval fuzzy number（IFNs） , a new group decision-making method is proposed. Firstly, the similarity formula between INs is given, and each stage preference information is clustered by this for- mula. Then,the trelative entropy method is used to determine cluster weights and stage weights. The alternatives ranking result is obtained based on the comprehensive group preference, and the best alterative is selected. Fi- nally, an example shows the effectiveness and practicability of this method.