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Some Improved q -Rung Orthopair Fuzzy Aggregation Operators and Their Applications to Multiattribute Group Decision-Making

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  • Lei Xu
  • Yi Liu
  • Haobin Liu

Abstract

As a generalization of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS), q -rung orthopair fuzzy set ( q -ROFS) is a new concept in describing complex fuzzy uncertainty information. The present work focuses on the multiattribute group decision-making (MAGDM) approach under the q -rung orthopair fuzzy information. To begin with, some drawbacks of the existing MAGDM methods based on aggregation operators (AOs) are firstly analyzed. In addition, some improved operational laws put forward to overcome the drawbacks along with some properties of the operational law are proved. Thirdly, we put forward the improved q -rung orthopair fuzzy-weighted averaging ( q -IROFWA) aggregation operator and improved q -rung orthopair fuzzy-weighted power averaging ( q -IROFWPA) aggregation operator and present some of their properties. Then, based on the q -IROFWA operator and q -IROFWPA operator, we proposed a new method to deal with MAGDM problems under the fuzzy environment. Finally, some numerical examples are provided to illustrate the feasibility and validity of the proposed method.

Suggested Citation

  • Lei Xu & Yi Liu & Haobin Liu, 2019. "Some Improved q -Rung Orthopair Fuzzy Aggregation Operators and Their Applications to Multiattribute Group Decision-Making," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-18, December.
    • Handle: RePEc:hin:jnlmpe:2036728
    DOI: 10.1155/2019/2036728
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    Cited by:

    1. Sema Kayapinar Kaya & Ejder Ayçin & Dragan Pamucar, 2023. "Evaluation of social factors within the circular economy concept for European countries," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(1), pages 73-108, March.
    2. Zeng, Shouzhen & Hu, Yingjie & Llopis-Albert, Carlos, 2023. "Stakeholder-inclusive multi-criteria development of smart cities," Journal of Business Research, Elsevier, vol. 154(C).

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