Pythagorean cubic set (PCFS) is the combination of the Pythagorean fuzzy set (PFS) and interval-valued Pythagorean fuzzy set (IVPFS). PCFS handle more uncertainties than PFS and IVPFS and thus are more extensive in their applications. The objective of this paper is under the PCFS to establish some novel operational laws and their corresponding Einstein weighted geometric aggregation operators. We describe some novel Pythagorean cubic fuzzy Einstein weighted geometric (PCFEWG) operators to handle multiple attribute group decision-making problems. The desirable relationship and the characteristics of the proposed operator are discussed in detail. Finally, a descriptive case is given to describe the practicality and the feasibility of the methodology established.

中文翻译：

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勾股三次模糊爱因斯坦加权几何聚合算子对社交网络的分析

勾股勾股三次集（PCFS）是勾股勾股模糊集（PFS）和区间值勾股勾股模糊集（IVPFS）的组合。PCFS比PFS和IVPFS处理更多的不确定性，因此在它们的应用中更加广泛。本文的目的是在PCFS下建立一些新颖的运算定律及其对应的Einstein加权几何集合算子。我们描述了一些新颖的毕达哥拉斯三次模糊爱因斯坦加权几何（PCFEWG）算子来处理多属性组决策问题。详细讨论了所提议的算子的期望关系和特征。最后，给出一个描述性的案例来描述所建立方法的实用性和可行性。