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Optimal airport selection utilizing power Muirhead mean based group decision model with 2-tuple linguistic q-rung orthopair fuzzy information

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Abstract

The choice of an optimal airport for local businesses for any traveling purpose due to the complexity of the access to the global market could be considered a group decision-making problem. To cope with this type of problem, the goal of this research is to introduce the power Muirhead mean operators into the environment of a 2-tuple linguistic q-rung orthopair fuzzy set (2TLq-ROFS). This paper proposes four novel aggregation operators: the 2TLq-ROF power Muirhead mean (2TLq-ROFPMM) operator, the 2TLq-ROF dual power Muirhead mean (2TLq-ROFDPMM) operator, the 2TLq-ROF weighted power Muirhead mean (2TLq-ROFWPMM) operator, and the 2TLq-ROF weighted dual power Muirhead mean (2TLq-ROFWDPMM) operator. Then, two new frameworks are constructed by employing the 2TLq-ROFWPMM and the 2TLq-ROFWDPMM aggregation operators to address challenges involving multi-attribute group decision-making. However, the decision-making process is complicated due to the ambiguity over the outcomes of airport choice. The constructed frameworks are being used to solve the problem of choosing the optimal airport in Pakistan for resolving the complexity of the access to the global market in local businesses. To demonstrate the superiority of our approach, parameter analysis with parameters q and \(\mathbf {\eth }\) is carried out. In addition, we compare our formulated approach with different aggregation operators in the literature to prove its effectiveness and efficiency. Finally, some research study conclusions are drawn, limitations are given, and future directions are revealed.

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Authors and Affiliations

  1. Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan

    Sumera Naz, Aqsa Shafiq & Kiran Akhtar

  2. Department of Mathematics, University of the Punjab, New Campus, Lahore, 54590, Pakistan

    Muhammad Akram

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  1. Sumera Naz
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  2. Muhammad Akram
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  3. Aqsa Shafiq
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  4. Kiran Akhtar
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Correspondence to Sumera Naz.

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Naz, S., Akram, M., Shafiq, A. et al. Optimal airport selection utilizing power Muirhead mean based group decision model with 2-tuple linguistic q-rung orthopair fuzzy information. Int. J. Mach. Learn. & Cyber. 15, 303–340 (2024). https://doi.org/10.1007/s13042-023-01911-9

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