Abstract
q-rung orthopair fuzzy set (q-ROFS) is a generalization of various fuzzy consepts. As fuzzy set (FS), intuitionistic FS, Pytagorean FS, Fermatean FS. Interval q-rung orthopair fuzzy set (IVq-ROFS) is a more powerful mathematic tool to tackle, inconsistent and vague information than the above sets. The aim of this study is to introduce a new hybrid aggregation method on IVq-ROFS. Attributes and experts often have different priority level in multiple criteria decision making (MCDM) problems. Therefore, the prioritized aggregation (PA) operator plays an important role in aggregation operators (AO). On the other hand, with the help of a variable vector, a Muirhed mean (MM) operator is taken into account, which takes into account the interrelationship between any number of arguments. In the suggested method, the important cases of both aggregation methods are combined. For multi-attribute group decision making (MAGDM), prioritized dual Muirhead mean operators (PDMM) have been proposed under the (IVq-ROFS) environment. In addition, some covetable properties of the proposed operators are mentioned. Finally, a practical example shows the effect and superiority of the proposed method. Its advantages are detailed when compared to other existing methods.
Supported by organization scientific research project of Eskisehir Technical University for project topic named “Using generalized fuzzy sets in multiple criteria decision making systems” (Project Number: 20DRP041).
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Aydemir, S.B., Gündüz, S.Y. (2021). Interval Valued q-Rung Orthopair Fuzzy Prioritized Dual Muirhead Mean Operator and Their Application in Group Decision Making. In: Kahraman, C., Cevik Onar, S., Oztaysi, B., Sari, I., Cebi, S., Tolga, A. (eds) Intelligent and Fuzzy Techniques: Smart and Innovative Solutions. INFUS 2020. Advances in Intelligent Systems and Computing, vol 1197. Springer, Cham. https://doi.org/10.1007/978-3-030-51156-2_51
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