The paper aims to present the concept of power aggregation operators for the T-spherical fuzzy sets (T-SFSs). T-SFS is a powerful concept, with four membership functions denoting membership, abstinence, non-membership and refusal degree, to deal with the uncertain information as compared to other existing fuzzy sets. On the other hand, the relationship between the different pairs of the attributes are well recorded in terms of power operators. Thus, keeping these advantages of T-SFSs and power operator, the objective of this work is to define several weighted averaging and geometric power aggregation operators. The stated operators named as T-spherical fuzzy weighted, ordered weighted, hybrid averaging and geometric operators for the collection of the T-SFSs. The various properties and the special cases of them are also derived. Further, the consequences of proposed new power aggregation operators are studied in view of some constraints. Finally, a multiple attribute decision making algorithm, based on the proposed operators, is established to solve the problems with uncertain information and illustrate with numerical examples. A comparative study, superiority analysis and discussion of the proposed approach are furnished to confirm the approach.

本文旨在介绍 T 球模糊集 (T-SFS) 的功率聚合算子的概念。T-SFS是一个强大的概念，具有四个隶属函数，分别表示隶属度、禁欲度、非隶属度和拒绝度，与现有的其他模糊集相比，可以处理不确定的信息。另一方面，不同属性对之间的关​​系在电力算子方面得到了很好的记录。因此，保持 T-SFS 和幂算子的这些优势，这项工作的目标是定义几个加权平均和几何幂聚合算子。所述算子被命名为 T 球模糊加权、有序加权、混合平均和几何算子，用于 T-SFS 的集合。还导出了它们的各种性质和特殊情况。进一步，鉴于一些约束条件，研究了提议的新功率聚合算子的后果。最后，基于所提出的算子，建立了一种多属性决策算法，以解决信息不确定的问题，并用数值例子进行说明。对所提出的方法进行了比较研究、优势分析和讨论，以确认该方法。