Affiliations: [a] School of Economics and Management, Beijing Jiaotong University, Beijing, China
| [b] School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, China
| [c] School of Management, Capital Normal University, Beijing, China
| [d] Informatics Research Centre, Henley Business School, University of Reading, Reading, UK
Correspondence:
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Corresponding author. Runtong Zhang, School of Economics and Management, Beijing Jiaotong University, Beijing, China. Tel.: +86 01051683854; E-mail: rtzhang@bjtu.edu.cn.
Abstract: Recently proposed q-rung orthopair fuzzy set (q-ROFS) is a powerful and effective tool to describe fuzziness, uncertainty and vagueness. The prominent feature of q-ROFS is that the sum and square sum of membership and non-membership degrees are allowed to be greater than one with the sum of qth power of the membership degree and qth power of the non-membership degree is less than or equal to one. This characteristic makes q-ROFS more powerful and useful than intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS). The aim of this paper is to develop some aggregation operators for fusing q-rung orthopair fuzzy information. As the Muirhead mean (MM) is considered as a useful aggregation technology which can capture interrelationships among all aggregated arguments, we extend the MM to q-rung orthopair fuzzy environment and propose a family of q-rung orthopair fuzzy Muirhead mean operators. Moreover, we investigate some desirable properties and special cases of the proposed operators. Further, we apply the proposed operators to solve multi-attribute group decision making (MAGDM) problems. Finally, a numerical instance as well as some comparative analysis are provided to demonstrate the validity and superiorities of the proposed method.
Keywords: q-rung orthopair fuzzy set, Muirhead mean, q-rung orthopair fuzzy Muirhead mean, Multi-attribute group decision making
