Multi-attribute decision-making methods based on Aczel-Alsina power aggregation operators for managing complex intuitionistic fuzzy sets

Aczel-Alsina t-norm and t-conorm were derived by Aczel and Alsina in 1982, which were the modified or extended forms of algebraic t-norm and t-conorm. Furthermore, the power aggregation operator is also a very significant and precious method that is used for evaluating the finest preference from the collection of finite preferences. Inspired by the above theories, we concentrate to derive the theory of Aczel-Alsina power aggregation operators for C-IF information, such as C-IFAAPA, C-IFAAWPA, C-IFAAPG, and C-IFAAWPG operators. Moreover, we derive the theory of idempotency and prove that the property of monotonicity and boundedness failed with the help of some counterexamples. Additionally, we evaluate a MADM approach to derive operators in the presence of C-IF information. Finally, we illustrative practical examples for comparing the derived work with various existing or prevailing operators to show the supremacy and proficiency of the derived information.