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Cubic fuzzy Einstein aggregation operators and its application to decision-making

Author

Listed:
  • Aliya Fahmi
  • Fazli Amin
  • Saleem Abdullah
  • Asad Ali

Abstract

In this paper, we define some Einstein operations on cubic fuzzy set (CFS) and develop three arithmetic averaging operators, which are cubic fuzzy Einstein weighted averaging (CFEWA) operator, cubic fuzzy Einstein ordered weighted averaging (CFEOWA) operator and cubic fuzzy Einstein hybrid weighted averaging (CFEHWA) operator, for aggregating cubic fuzzy data. The CFEHWA operator generalises both the CFEWA and CFEOWA operators. Furthermore, we develop various properties of these operators and derive the relationship between the proposed operators and the exiting aggregation operators. We apply CFEHWA operator to multiple attribute decision-making with cubic fuzzy data. Finally, a numerical example is constructed to demonstrate the established approach.

Suggested Citation

  • Aliya Fahmi & Fazli Amin & Saleem Abdullah & Asad Ali, 2018. "Cubic fuzzy Einstein aggregation operators and its application to decision-making," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(11), pages 2385-2397, August.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:11:p:2385-2397
    DOI: 10.1080/00207721.2018.1503356
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    Cited by:

    1. Wenyao Niu & Yuan Rong & Liying Yu & Lu Huang, 2022. "A Novel Hybrid Group Decision Making Approach Based on EDAS and Regret Theory under a Fermatean Cubic Fuzzy Environment," Mathematics, MDPI, vol. 10(17), pages 1-30, August.
    2. Baosheng Zhang & Tahir Mahmood & Jabbar Ahmmad & Qaisar Khan & Zeeshan Ali & Shouzhen Zeng, 2020. "Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making," Mathematics, MDPI, vol. 8(7), pages 1-32, July.
    3. Tehreem Ayaz & Mohammad M. Al-Shomrani & Saleem Abdullah & Amjad Hussain, 2020. "Evaluation of Enterprise Production Based on Spherical Cubic Hamacher Aggregation Operators," Mathematics, MDPI, vol. 8(10), pages 1-40, October.
    4. Deveci, Muhammet & Pamucar, Dragan & Gokasar, Ilgin & Isik, Mehtap & Coffman, D'Maris, 2022. "Fuzzy Einstein WASPAS approach for the economic and societal dynamics of the climate change mitigation strategies in urban mobility planning," Structural Change and Economic Dynamics, Elsevier, vol. 61(C), pages 1-17.

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