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

Baosheng Zhang, Tahir Mahmood, Jabbar Ahmmad, Qaisar Khan, Zeeshan Ali and Shouzhen Zeng
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Baosheng Zhang: College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
Tahir Mahmood: Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, Pakistan
Jabbar Ahmmad: Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, Pakistan
Qaisar Khan: Department of Mathematics Northern University Nowshera, Nowshera 24110, Pakistan
Zeeshan Ali: Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 46000, Pakistan
Shouzhen Zeng: School of Business, Ningbo University, Ningbo 315211, China

Mathematics, 2020, vol. 8, issue 7, 1-32

Abstract: 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.

Keywords: cubic q-rung orthopair fuzzy sets; Heronian mean operators; partitioned structure; multi-attribute group decision making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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