Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making

Mathematics

Baosheng Zhang¹  Qaisar Khan²  Tahir Mahmood³  Zeeshan Ali³  Jabbar Ahmmad³  Shouzhen Zeng⁴ 

[1] College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;Department of Mathematics Northern University Nowshera, Nowshera 24110, Pakistan;Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, Pakistan;School of Business, Ningbo University, Ningbo 315211, China;

关键词: cubic q-rung orthopair fuzzy sets;    Heronian mean operators;    partitioned structure;    multi-attribute group decision making;   

DOI  :  10.3390/math8071125

来源: DOAJ

【 摘 要 】

The cubic q-rung orthopair fuzzy set (Cq-ROFS) contains much more information to determine the interval valued q-rung orthopair fuzzy sets (IVq-ROFSs) and q-rung orthopair fuzzy sets (q-ROFSs) simultaneously for coping with the vagueness in information. It provides more space for decision makers (DMs) to describe their opinion in the environment of fuzzy set (FS) theory. In this paper, firstly, we introduce the conception of Cq-ROFS and their characteristics. Further, the Heronian mean (HM) operator based on Cq-ROFS, called the weighted HM operator, are explored. To overcome the deficiency of HM operator and keeping in mind the partitioned structure in real decision situations, we offer Cubic q-rung orthopair fuzzy partitioned HM operator and its weighted shape. An algorithm of the proposed operators based on multi-attribute group decision making (MAGDM) problems for the selection of best alternative among the given ones is established. Lastly, we provide an example to depict the authenticity and advantages of the exposed methods by contrasting with other existing drawbacks.

【 授权许可】

Unknown