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

Abstract

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