Power Aggregation Operators of Interval-Valued Atanassov-Intuitionistic Fuzzy Sets Based on Aczel–Alsina t-Norm and t-Conorm and Their Applications in Decision Making

Abstract Aczel–Alsina t-norm and t-conorm are important t-conorm, they extended from algebraic t-conorm. Obviously, more general than some existing Furthermore, the power aggregation (PA) operator is also a very famous valuable which can consider relation between any two input parameters. In addition, Interval-valued Atanassov-intuitionistic fuzzy set (IVA-IFS) easily express uncertain information. order to fully use their advantages, in this analysis, we extend PA operators based on IVA-IFS propose interval-valued averaging (IVA-IFAAPA), ordered (IVA-IFAAPOA), geometric (IVA-IFAAPG) (IVA-IFAAPOG) operators. Moreover, discuss properties of presented such as idempotency, monotonicity, boundedness. multi-attribute decision-making (MADM) procedure proposed process IVA-IF Finally, practical example used show effectiveness superiority method by comparing it with