Probabilistic linguistic preference relation (PLPR) is an effective tool for decision-makers (DMs) to express their preferences in the decision-making process. However, the preferences provided by DMs may be inconsistent, which may lead to unreasonable decision-making results. Therefore, this paper proposes a group decision-making (GDM) method with PLPRs based on a consistency improvement algorithm and an improved multiplicative data envelopment analysis (DEA) model. For a given inconsistent PLPR, we first propose an optimization model to obtain a complete consistent PLPR. And then we use the proposed consistency adjustment algorithm to get a PLPR with acceptable consistency. Subsequently, we develop a transformation function that can transform PLPRs into multiplicative preference relations (MPRs). Furthermore, we put forward an improved multiplicative DEA model to obtain the priority vector of MPR, and the reliable ranking order of all alternatives is determined. Finally, a numerical example of cold storage construction for storing fresh products is presented to show the effectiveness and applicability of the proposed GDM method.

概率语言偏好关系（PLPR）是决策者（DM）在决策过程中表达偏好的有效工具。然而，DM提供的偏好可能不一致，这可能导致不合理的决策结果。因此，本文基于一致性改进算法和改进的乘法数据包络分析（DEA）模型，提出了一种基于PLPR的群决策（GDM）方法。对于给定的不一致 PLPR，我们首先提出一个优化模型以获得完全一致的 PLPR。然后我们使用提出的一致性调整算法来获得具有可接受一致性的 PLPR。随后，我们开发了一个转换函数，可以将 PLPR 转换为乘法偏好关系 (MPR)。此外，我们提出了一种改进的乘法DEA模型来获得MPR的优先向量，并确定所有备选方案的可靠排序顺序。最后，给出了一个用于存储新鲜产品的冷库结构的数值例子，以证明所提出的 GDM 方法的有效性和适用性。