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To provide a larger space for decision makers, q-rung orthopair fuzzy sets (q-ROFS) can express their uncertain information. As a generalization of the algebraic operations, and the Einstein t-conorm and t-norm, Hamacher operations have become significant in aggregation theory. In order to accurately integrate the input arguments of decision makers, the relation pattern between the arguments must be considered. In this paper, we analyze both the independent and interdependent relationship that exist between the input arguments based on the arithmetic mean and the Maclaurin symmetric mean (MSM) respectively. To be specific, we develop some new Hamacher operations for q-ROFS. In light of these operational laws, we further propose some q-rung orthopair fuzzy Hamacher aggregation operators, i.e., the q-rung orthopair fuzzy Hamacher average (q-ROFHA) operator, the weighted q-rung orthopair fuzzy …