Abstract
The recently proposed q-rung orthopair fuzzy set (q-ROFS) is a powerful and effective tool to describe uncertainty and vagueness, and Hamy mean (HM) has a significant advantage of capturing the interrelationship among aggregated arguments. In order to take full advantage of q-ROFS and HM, and consider the interactions between membership and non-membership degrees at the same time, in this paper, we propose a family of q-rung orthopair fuzzy Hamy mean operators based on interaction operations. First, we define interaction operational rules for q-rung orthopair fuzzy numbers. Based on the new operational rules, q-rung orthopair fuzzy interaction HM and q-rung orthopair fuzzy interaction weighted HM operators are proposed. Further, we propose a dual Hamy mean (DHM) operator and extend it to accommodate q-rung orthopair fuzzy environment. Based on interaction operational rules and DHM, q-rung orthopair fuzzy interaction DHM operator and its weighted form are also developed. Then, a novel multi-attribute group decision-making approach based on proposed operators is introduced. Finally, a numerical instance, as well as some comparative analyses, is provided to illustrate the validity and advantages of the new approach.
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Acknowledgement
This work was partially supported by a key program of the National Natural Science Foundation of China (No. 71532002), Fundamental Funds for Humanities and Social Sciences of Beijing Jiaotong University (No. 2016JBZD01) and Fundamental Research Funds for the Central Universities (No. 2019YJS055).
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Xing, Y., Zhang, R., Wang, J. et al. A new multi-criteria group decision-making approach based on q-rung orthopair fuzzy interaction Hamy mean operators. Neural Comput & Applic 32, 7465–7488 (2020). https://doi.org/10.1007/s00521-019-04269-8
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DOI: https://doi.org/10.1007/s00521-019-04269-8