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Some q-rung orthopair fuzzy Muirhead means with their application to multi-attribute group decision making

Wang, J., Zhang, R., Zhu, X., Zhou, Z., Shang, X. and Li, W. (2019) Some q-rung orthopair fuzzy Muirhead means with their application to multi-attribute group decision making. Journal of Intelligent & Fuzzy Systems, 36 (2). pp. 1599-1614. ISSN 1875-8967

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To link to this item DOI: 10.3233/JIFS-18607

Abstract/Summary

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 of membership and non-membership degrees is allowed to be greater than the one with the sum of qth power of the membership degree and qth power of the non-membership degree, which is equal to or less than 1. This characteristic makes the 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 qrung 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.

Item Type:Article
Refereed:Yes
Divisions:Henley Business School > Business Informatics, Systems and Accounting
ID Code:80774
Publisher:IOS Press

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