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Concise representations and limiting cases of q-rung orthopair fuzzy Hamacher–Bonferroni mean aggregations

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Abstract

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.

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Acknowledgements

The author is very grateful to the reviewers for their comments and suggestions to improve the quality and the presentation of the manuscript. This research was supported by the National Natural Science Foundation of China (Grant Nos. 12271493 and 61806182), the Innovation Team Support Program for Excellent Young Talents of Zhengzhou University (Grant No. 32310462), the Key R &D and Promotion Projects of Henan Province (Grant No. 232400410066) and the Training Project for Young Backbone Teachers of Colleges and Universities of Henan Province (Grant No. 2018ZDGGJS033).

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  1. School of Business, Zhengzhou University, Zhengzhou, 450001, People’s Republic of China

    Wen Sheng Du

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Communicated by Junsheng Qiao.

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Du, W.S. Concise representations and limiting cases of q-rung orthopair fuzzy Hamacher–Bonferroni mean aggregations. Comp. Appl. Math. 42, 357 (2023). https://doi.org/10.1007/s40314-023-02493-6

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