On the basis of previous scholars’ research, we improve the traditional TOmada de Decisão Interativa e Multicritério (TODIM) along with Cumulative Prospect Theory (CPT) under the 2‐tuple linguistic Pythagorean fuzzy sets (2TLPFSs) in this article. First of all, we give some definitions of Pythagorean fuzzy sets, 2TLPFSs, and the 2‐tuple linguistic Pythagorean fuzzy weighted average as well as 2‐tuple linguistic Pythagorean fuzzy weighted geometric operators. After that, according to the existing researches, we simply introduce the TODIM method and TODIM method under 2TLPFSs. Furthermore, we propose the TODIM method based on CPT (CPT–TODIM) for multiple attribute group decision‐making (MAGDM) with 2TLPFSs. Finally, a numerical example about company credit risk assessment is used to explain the new proposed method. Comparing with other methods, there is no doubt that this new method has superiority. To be exact, because the new method fully considers the mental factors of decision makers, it can better solve the uncertainty of MAGDM and improve the rationality of decision‐making.

中文翻译：

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二元语言勾股模糊环境下基于累积前景理论的TODIM方法用于多属性群决策

在先前学者的研究基础上，我们在2元语言勾股勾股模糊集（2TLPFS）下改进了传统的多态决策（TODIM）和累积预期理论（CPT）。首先，我们给出毕达哥拉斯模糊集，2TLPFS和2元语言毕达哥拉斯模糊加权平均以及2元语言毕达哥拉斯模糊加权几何算子的定义。然后，根据现有的研究，我们简单介绍2TLPFS下的TODIM方法和TODIM方法。此外，我们提出了基于CPT的TODIM方法（CPT–TODIM），用于具有2TLPFS的多属性组决策（MAGDM）。最后，通过一个关于公司信用风险评估的数值例子来解释该新方法。与其他方法相比，毫无疑问，这种新方法具有优势。确切地说，由于该新方法充分考虑了决策者的心理因素，因此可以更好地解决MAGDM的不确定性，提高决策的合理性。