Archimedean T-norm Based q-Rung Orthopair Fuzzy Hamy Mean Operator With Ordinal Priority Weights

Archimedean t-norm provides an advantage to represent the formal structure ofaggregation operators (AOs) in a simpler form i.e., from a multivariate to univariatefunction through an additive generator. This study focuses on q-rung orthopairfuzzy numbers, a field typically governed by t-norms. So in this paper, weintroduced Hamy mean and weighted Hamy mean operators for q-rung orthopairfuzzy numbers under a generalized construction of continuous and Archimedeanclasses of t-norms. To further develop a comprehensive AO-based multi-criteriagroup decision-making model, an objective weight determination approach, theq-rung orthopair fuzzy Archimedean ordinal priority approach, is used to systematicallyevaluate attribute weights. Finally, the constructed approach is demonstratedin practice through a detailed illustration of a real-world decision-making problem.