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A new multi-criteria group decision-making approach based on q-rung orthopair fuzzy interaction Hamy mean operators

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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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Authors and Affiliations

  1. School of Economics and Management, Beijing Jiaotong University, Beijing, China

    Yuping Xing, Runtong Zhang, Jun Wang & Jing Xue

  2. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Kaiyuan Bai

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  1. Yuping Xing
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  2. Runtong Zhang
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  3. Jun Wang
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  4. Kaiyuan Bai
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Correspondence to Runtong Zhang.

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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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