Complex fuzzy (CF) sets (CFSs) have a significant role in modelling the problems involving two-dimensional information. Recently, the extensions of CFSs have gained the attention of researchers studying decision-making methods. The complex T-spherical fuzzy set (CTSFS) is an extension of the CFSs introduced in the last times. In this paper, we introduce the Dombi operations on CTSFSs. Based on Dombi operators, we define some aggregation operators, including complex T-spherical Dombi fuzzy weighted arithmetic averaging (CTSDFWAA) operator, complex T-spherical Dombi fuzzy weighted geometric averaging (CTSDFWGA) operator, complex T-spherical Dombi fuzzy ordered weighted arithmetic averaging (CTSDFOWAA) operator, complex T-spherical Dombi fuzzy ordered weighted geometric averaging (CTSDFOWGA) operator, and we obtain some of their properties. In addition, we develop a multi-criteria decision-making (MCDM) method under the CTSF environment and present an algorithm for the proposed method. To show the process of the proposed method, we present an example related to diagnosing the COVID-19. Besides this, we present a sensitivity analysis to reveal the advantages and restrictions of our method.

复杂模糊 (CF) 集 (CFS) 在建模涉及二维信息的问题中具有重要作用。最近，CFS 的扩展引起了研究决策方法的研究人员的关注。复 T 球模糊集 (CTSFS) 是上次引入的 CFS 的扩展。在本文中，我们介绍了 CTSFS 上的 Dombi 操作。在Dombi算子的基础上，我们定义了一些聚合算子，包括复杂T球面Dombi模糊加权算术平均（CTSDFWAA）算子、复杂T球面Dombi模糊加权几何平均（CTSDFWGA）算子、复杂T球面Dombi模糊有序加权算术平均算子。 （CTSDFOWAA）算子，复T-球面Dombi模糊有序加权几何平均（CTSDFOWAA）算子，我们得到了它们的一些性质。此外，我们在 CTSF 环境下开发了一种多准则决策 (MCDM) 方法，并提出了该方法的算法。为了展示所提出方法的过程，我们提供了一个与诊断 COVID-19 相关的示例。除此之外，我们还进行了敏感性分析，以揭示我们方法的优点和局限性。