In the era of uncertain information everywhere, the Probabilistic Hesitant Fuzzy sets (PHFs), utilizing the possible numbers and its possible membership degrees to descript decision-makers’ behavior, has been brought about widespread attention. Scholars from all over the world applied numerous approaches in this environment since Probabilistic Hesitant Fuzzy sets (PHFs) has been come up with, and there are still untapped territories. The TODIM (TOmada deDecisão Iterativa Multicrite´rio) method is a common decision-making method which is based on the prospect theory (PT). Unlike the other multiple criteria decision making (MCDM) methods, the TODIM method think over the bounded rationality of decision makers to choose the optimal alternative according to the decision maker’s psychological reality. In this essay, we introduce the Extended TODIM Based on Cumulative Prospect Theory (CPT) for probabilistic hesitant fuzzy multiple attributes group decision-making (MAGDM). In addition, the entropy is applied to calculate the weights between attributes. Finally, the developed method is used to solve the decision-making case study. To test the reasonability of this new method, we utilize a numerical case to compare the extended TODIM method with other methods.

在不确定信息无处不在的时代，概率犹豫模糊集（PHFs）利用可能的数字及其可能的隶属度来描述决策者的行为，受到了广泛的关注。自从提出概率犹豫模糊集（PHF）以来，世界各地的学者在这种环境中应用了许多方法，但仍有未开发的领域。TODIM（TOmada deDecisão Iterativa Multicrite´rio）方法是一种基于前景理论（PT）的常用决策方法。与其他多准则决策（MCDM）方法不同，TODIM方法考虑决策者的有限理性，根据决策者的心理现实选择最优方案。在这篇论文中，我们介绍了基于累积前景理论（CPT）的扩展 TODIM，用于概率犹豫模糊多属性群决策（MAGDM）。此外，应用熵来计算属性之间的权重。最后，将所开发的方法用于解决决策案例研究。为了测试这种新方法的合理性，我们利用一个数值案例将扩展的 TODIM 方法与其他方法进行比较。