The Aczel-Alsina t-norms ware proposed by Aczel and Alsina in 1982, which are a very effective and dominant technique used in the construction of any kind of aggregation operators. Moreover, the Algebraic t-norms are a special case of the Aczel-Alsina t-norms because of the parameter \(0<p<+\infty\). Additionally, a complex intuitionistic fuzzy (COIF) set is an essential and valuable part of the fuzzy set to handle vague and awkward situations in many real-life problems. Motivated by the above valuable and dominant ideas, the major contribution of this study is to propose the aggregation operators by involving the priority degree based on Aczel-Alsina t-norms for managing the COIF values, such as COIF Aczel-Alsina prioritized weighted averaging (COIFAAPWA), COIF Aczel-Alsina prioritized ordered weighted averaging (COIFAPOWA), COIF Aczel-Alsina prioritized weighted geometric (COIFAAPWG), and COIF Aczel-Alsina prioritized ordered weighted geometric (COIFAAPOWG) operators. The fundamental properties of these operators are also examined. Afterward, we develop a decision-making technique to process the multi-attribute decision-making (MADM) problem based on the COIF information and proposed operators. Lastly, we use some examples to show the supremacy and effectiveness of the developed approaches by checking the influence of the parameters and the comparison between proposed techniques with some existing techniques.

Aczel-Alsina t-norms 由 Aczel 和 Alsina 于 1982 年提出，是一种非常有效和主导的技术，用于构造任何类型的聚合算子。此外，由于参数\(0<p<+\infty\)，代数 t-范数是 Aczel-Alsina t-范数的特例. 此外，复杂直觉模糊 (COIF) 集是模糊集的重要组成部分，用于处理许多现实生活中的模糊和尴尬情况。受上述有价值和主导思想的启发，本研究的主要贡献是通过涉及基于 Aczel-Alsina t-范数的优先级来管理 COIF 值，例如 COIF Aczel-Alsina 优先加权平均（ COIFAAPWA)、COIF Aczel-Alsina 优先有序加权平均 (COIFAPOWA)、COIF Aczel-Alsina 优先加权几何 (COIFAAPWG) 和 COIF Aczel-Alsina 优先有序加权几何 (COIFAAPOWG) 算子。还检查了这些运算符的基本属性。之后，我们开发了一种决策技术来处理基于 COIF 信息和建议算子的多属性决策 (MADM) 问题。最后，我们使用一些示例通过检查参数的影响以及所提出的技术与一些现有技术之间的比较来展示所开发方法的优越性和有效性。