In group decision making with social network analysis (SNA), determining the weights of experts and constructing the consensus-reaching process (CRP) are hot topics. With respect to the generation of weights of experts, this paper firstly develops a distributed linguistic trust propagation operator and a path order weighted averaging (POWA) operator to explore the trust propagation and aggregation between indirectly connected experts, and the weights of experts can be derived by using relative node in-degree centrality in a complete distributed linguistic trust relationship matrix. Then, three levels of consensus are proposed, in which the most inconsistent evaluation information in distributed linguistic trust decision-making matrices can be pinpointed. Subsequently, the distance between experts’ evaluation information and collective evaluation information is designed to be applied as the adjustment cost in CRP. Finally, a novel feedback mechanism supported by the minimum adjustment cost is activated until the group consensus degree reaches the predefined threshold. The novelties of this paper are as follows: (1) the proposed POWA considers the trust value as well as the propagation efficiency of trust path when aggregating the trust relationship in SNA; (2) the consensus reaching mechanism can gradually improve the value of group consensus degree by continuously adjusting the most inconsistent evaluation information.

在社会网络分析（SNA）的群体决策中，确定专家的权重和构建达成共识的过程（CRP）是热门话题。针对专家权重的生成，本文首先开发了分布式语言信任传播算子和路径顺序加权平均（POWA）算子，探索了间接连接专家之间的信任传播和聚合，可以推导出专家的权重。通过在完整的分布式语言信任关系矩阵中使用相对节点度中心性。然后，提出了三个共识级别，其中可以精确定位分布式语言信任决策矩阵中最不一致的评估信息。随后，专家评价信息与集体评价信息之间的距离被设计为在CRP中作为调整成本。最后，激活最小调整成本支持的新反馈机制，直到组共识度达到预定义的阈值。本文的创新点如下：（1）提出的 POWA 在聚合 SNA 中的信任关系时考虑了信任值以及信任路径的传播效率；(2)共识达成机制可以通过不断调整最不一致的评价信息来逐步提高群体共识度的值。激活最小调整成本支持的新反馈机制，直到群体共识度达到预定阈值。本文的创新点如下：（1）提出的 POWA 在聚合 SNA 中的信任关系时考虑了信任值以及信任路径的传播效率；(2)共识达成机制可以通过不断调整最不一致的评价信息来逐步提高群体共识度的值。激活最小调整成本支持的新反馈机制，直到群体共识度达到预定阈值。本文的创新点如下：（1）提出的 POWA 在聚合 SNA 中的信任关系时考虑了信任值以及信任路径的传播效率；(2)共识达成机制可以通过不断调整最不一致的评价信息来逐步提高群体共识度的值。