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A hybrid decision-making framework under 2-tuple linguistic complex q-rung orthopair fuzzy Hamy mean aggregation operators

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Abstract

The current study proposes the concept of 2-tuple linguistic complex q-rung orthopair fuzzy sets (2TLCq-ROFSs) to address the uncertainty of the multi-attribute group decision making (MAGDM) challenge. A 2TLCq-ROFS, characterized by 2-tuple linguistic complex-valued membership and non-membership degrees, is a useful technique for dealing with inefficient and inconsistent data in group decision-making. 2TLCq-ROFS manages two-dimensional data through one set over the same period, using additional terms called phase terms related to duration, and allowing scholars more space to clarify their points. The aggregation operator Hamy mean (HM) is useful for modeling relationships between attributes. The traditional HM operator is extended to aggregate 2TL complex q-rung orthopair fuzzy information. The 2-tuple linguistic complex q-rung orthopair fuzzy weighted averaging (2TLCq-ROFWA) operator and the 2-tuple linguistic complex q-rung orthopair fuzzy weighted geometric (2TLCq-ROFWG) operator are proposed to aggregate the 2TLCq-ROF information. 2TLCq-ROF-HM aggregation operator family, including 2-tuple linguistic complex q-rung orthopair fuzzy Hami mean (2TLCq-ROF-HM) operator, 2-tuple linguistic complex, q-rung orthopair fuzzy dual Hamy mean (2TLCq-ROF-DHM) operator and its weighted variants are introduced to account for the correlation between among input information. Furthermore, based on the proposed operator, a novel MAGDM model is provided for evaluating the service quality of wireless sensor networks (WSNs) in 2TLCq-ROF scenarios. Moreover, parametric analysis, extensive comparative studies and advantages demonstrate the effectiveness and excellence of the proposed method.

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Authors and Affiliations

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

    Muhammad Akram

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

    Sumera Naz

  3. Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran

    S. A. Edalatpanah

  4. Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan

    Shamaila Samreen

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  1. Muhammad Akram
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  3. S. A. Edalatpanah
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  4. Shamaila Samreen
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Correspondence to S. A. Edalatpanah.

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Communicated by Graçaliz Pereira Dimuro.

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Akram, M., Naz, S., Edalatpanah, S.A. et al. A hybrid decision-making framework under 2-tuple linguistic complex q-rung orthopair fuzzy Hamy mean aggregation operators. Comp. Appl. Math. 42, 118 (2023). https://doi.org/10.1007/s40314-023-02254-5

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