Complex spherical fuzzy set, an extended version of spherical fuzzy set, is a very powerful tool to capture fourfold information (typically yes, no, abstain and refusal), in which the range of degrees occurs in the complex plane with unit disk. Through this prominent feature, complex spherical fuzzy sets outperform earlier concepts of fuzzy sets and their extensions. This research article utilizes complex spherical fuzzy sets and prioritized weighted aggregation operators to construct the complex spherical fuzzy prioritized weighted averaging/geometric operators. We present their most noticeable properties. Further, we establish a decision-making approach that takes full advantage of the aforesaid operators. To explore their superiority and applicability in decision making, we apply our algorithm to a numerical example. Finally, we compare this decision-making approach with prevailing methods in this context.

中文翻译：

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复杂球形模糊优先加权聚合算子下的混合决策框架

复杂球面模糊集是球面模糊集的扩展版本，是捕捉四重信息（通常是是、否、弃权和拒绝）的非常强大的工具，其中度数的范围出现在具有单位圆盘的复平面上。通过这一突出特征，复杂球形模糊集优于模糊集及其扩展的早期概念。本研究利用复杂球形模糊集和优先加权聚合算子构建复杂球形模糊优先加权平均/几何算子。我们展示了它们最显着的特性。此外，我们建立了充分利用上述运营商的决策方法。为了探索它们在决策中的优越性和适用性，我们将我们的算法应用于一个数值例子。最后，