The optimal supplier selection in medical instrument industries could be considered a classical MAGDM issue. The probabilistic uncertain linguistic term sets (PULTSs) could depict uncertain information well and the Taxonomy method is appropriate to compare various alternatives according to their merits and utility degree from studied attributes. In such paper, we develop a Taxonomy method for probabilistic uncertain linguistic MAGDM (PUL-MAGDM) with the completely unknown attribute weights. Above all, the score function’s definition is utilized to derive the weights of attribute based upon the CRITIC method. In addition, the probabilistic uncertain linguistic development pattern (PULDP) is improved and the smallest development attribute value from the positive ideal solution under PULTSs is calculated to determine the optimal alternative. In the end, taking the supplier selection in medical instrument industries as an example, we demonstrate the usage of the developed algorithms. Based on this, the comparison of methods is conducted with existing methods, such as PUL-TOPSIS method, the PULWA operator, the PUL-EDAS method and the ULWA operator. The results verify that the decision-making framework is valid and effective for supplier selection. Thus, the advantage of this designed method is that it is simple to understand and easy to compute. The designed method can also contribute to the selection of suitable alternative successfully in other selection issues.

中文翻译：

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基于概率不确定语言信息的分类多属性群决策方法及其在供应商选择中的应用

医疗器械行业的最佳供应商选择可以被认为是一个经典的 MAGDM 问题。概率不确定语言术语集（PULTS）可以很好地描述不确定信息，并且分类法适用于根据所研究属性的优点和效用程度来比较各种替代方案。在这样的论文中，我们开发了一种具有完全未知属性权重的概率不确定语言 MAGDM (PUL-MAGDM) 的分类方法。最重要的是，得分函数的定义用于基于 CRITIC 方法导出属性的权重。此外，改进概率不确定语言发展模式（PULDP），计算PULTSs下正理想解的最小发展属性值，以确定最优方案。最后，以医疗器械行业的供应商选择为例，演示了所开发算法的使用。在此基础上，将方法与现有方法，如PUL-TOPSIS方法、PULWA算子、PUL-EDAS方法和ULWA算子进行了比较。结果验证了决策框架对于供应商选择的有效性和有效性。因此，这种设计方法的优点是易于理解和计算。设计的方法还有助于在其他选择问题中成功选择合适的替代方案。如 PUL-TOPSIS 方法、PULWA 算子、PUL-EDAS 方法和 ULWA 算子。结果验证了决策框架对于供应商选择的有效性和有效性。因此，这种设计方法的优点是易于理解和计算。设计的方法还有助于在其他选择问题中成功选择合适的替代方案。如 PUL-TOPSIS 方法、PULWA 算子、PUL-EDAS 方法和 ULWA 算子。结果验证了决策框架对于供应商选择的有效性和有效性。因此，这种设计方法的优点是易于理解和计算。设计的方法还有助于在其他选择问题中成功选择合适的替代方案。