In multi-attribute two-sided matching (MATSM) problems, the attribute weights play an important role. The existing methods usually neglect the interaction and the effect among multiple attributes, resulting in irrational matching results. This paper takes this interaction into consideration. With the complexity of the matching environment, the uncertainties of agents should be considered. The probabilistic linguistic term set (PLTS) is a useful tool to describe the uncertainty and the limited cognition of agents. Thus, this paper aims to provide a novel MATSM method under the probabilistic linguistic environment with unknown attribute weights. Firstly, the attribute weights are determined by providing the probabilistic linguistic decision-making trial and evaluation laboratory (PL-DEMATEL) method. Besides, this paper constructs the gain and loss (GL) matrices and calculates the agents’ perceived values (PVs) by introducing prospect theory (PT). Then, the PVs are aggregated into the comprehensive PVs (CPVs) based on the obtained attribute weights. Next, this paper also proposes a ranking method, called probabilistic linguistic multi-attribute border approximation area comparison (PL-MABAC) method, to rank the multiple agents, which lay a solid foundation for stable matching constraint of the programming model. The matching results are obtained by solving the programming model. Finally, a case study of matching medical treatment service providers and demanders is presented to validate the proposed method. The comparative analyses and discussions are also provided to demonstrate its effectiveness.

中文翻译：

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基于属性权重未知的概率语言术语集的医疗服务匹配

在多属性双面匹配（MATSM）问题中，属性权重扮演着重要角色。现有方法通常会忽略多个属性之间的相互作用和影响，从而导致不合理的匹配结果。本文考虑了这种相互作用。由于匹配环境的复杂性，应考虑代理商的不确定性。概率语言术语集（PLTS）是一种有用的工具，用于描述主体的不确定性和有限的认知能力。因此，本文旨在提供一种在属性属性未知的概率语言环境下的新型MATSM方法。首先，通过提供概率语言决策试验和评估实验室（PL-DEMATEL）方法来确定属性权重。除了，本文通过引入前景理论（PT）构造了损益（GL）矩阵，并计算了代理商的感知值（PVs）。然后，根据获得的属性权重将PV汇总为综合PV（CPV）。接下来，本文还提出了一种排序方法，称为概率语言多属性边界近似区域比较（PL-MABAC）方法，对多个主体进行排序，为规划模型的稳定匹配约束奠定了坚实的基础。通过求解编程模型获得匹配结果。最后，以匹配的医疗服务提供者和需求者为例，验证了该方法的有效性。还提供了比较分析和讨论，以证明其有效性。