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Operations on inputs are partially or completely decisive for information aggregation, and parameterized operations are widely used due to their flexibility in practice. The Bonferroni mean is a typical mean operator taking into account interrelationships between any two input variables. In this paper, the Hamacher operations are considered in constructing q-rung orthopair fuzzy aggregation operators combined with the Bonferroni mean. First, explicit expressions of aggregated results by the q-rung orthopair fuzzy Hamacher Bonferroni mean operator are presented without intermediate variables, which would certainly improve the computational efficiency. Then, limits of these resulting aggregations are examined with respect to parameters within Hamacher operations and Bonferroni mean, respectively. The obtained conclusions reveal relations among the current mean operator and some existing ones, and some numerical examples are given to facilitate the conceptual arguments. Finally, the developed operator is employed to evaluate the service quality of passenger airlines in Taiwan, China, and a comparative analysis is presented in this study. [ABSTRACT FROM AUTHOR]