Continuous Archimedean Triangular Norms Based Intuitionistic Fuzzy Hamy Mean Operator

The continuous Archimedean t-norm (TN) provides the advantage of being expressed through an additive generator, allowing the computation to be simplified from a multivariate function to its corresponding univariate generator. In this work, we have introduced two general aggregation operators (AOs), the intuitionistic fuzzy Archimedean Hamy mean (IFAHM) and the intuitionistic fuzzy Archimedean weighted Hamy mean (IFAWHM) operators. These two AOs are based on the continuous and Archimedean class of TNs, which comprise various well-known TNs, including algebraic \((T^A)\) , Aczél-Alsina \((T^{AA})\) , Dombi \((T^D)\) , Frank \((T^F)\) , Hamacher \((T^H)\) , and Schweizer–Sklar \((T^{SS})\) . Moreover, the IFAWHM operator is used to develop a multi-attribute group decision making (MAGDM) approach, which is illustrated through an EcoPorts performance evaluation problem.