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A new approach to cubic q-rung orthopair fuzzy multiple attribute group decision-making based on power Muirhead mean

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Abstract

The q-rung orthopair fuzzy sets (q-ROFSs) have been proved to be an efficient tool in expressing decision makers’ (DMs) evaluation values in multiple attribute group decision-making (MAGDM) procedure. To more effectively represent DMs’ evaluation information in complicated MAGDM process, this paper proposes a new tool, called cubic q-rung orthopair fuzzy sets (Cq-ROFSs), based on the combination of q-ROFSs with interval-valued q-ROFSs. Then, we investigate MAGDM problems in which DMs’ preference information is given in terms of cubic q-rung orthopair fuzzy numbers. First, the definition, operations and comparison method of Cq-ROFSs are introduced. Second, to effectively aggregate cubic q-rung orthopair fuzzy information we propose the cubic q-rung orthopair fuzzy power average operator, the cubic q-rung orthopair fuzzy power Muirhead mean operator as well as their weighted forms. We illustrate the powerfulness and flexibility of the proposed operators in fusing cubic q-rung orthopair fuzzy decision-making information. Third, on the basis of the proposed operators we give the main steps of a novel cubic q-rung orthopair fuzzy MAGDM method. We utilize the method to solve real MAGDM problems to prove its effectiveness and validity. Finally, we explain why DMs should choose our proposed method rather than some others through comparison analysis.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Number 61702023), Humanities and Social Science Foundation of Ministry of Education of China (Grant Number 17YJC870015) and the Beijing Natural Science Foundation (Grant Number 7192107).

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Authors and Affiliations

  1. School of Economics and Management, Beijing University of Chemical Technology, Beijing, 100029, China

    Jun Wang

  2. School of Economics and Management, Beijing Jiaotong University, Beijing, 100044, China

    Xiaopu Shang & Yuan Xu

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

    Kaiyuan Bai

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  1. Jun Wang
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  4. Yuan Xu
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Correspondence to Xiaopu Shang.

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Wang, J., Shang, X., Bai, K. et al. A new approach to cubic q-rung orthopair fuzzy multiple attribute group decision-making based on power Muirhead mean. Neural Comput & Applic 32, 14087–14112 (2020). https://doi.org/10.1007/s00521-020-04807-9

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