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Approaches to Multi-Attribute Group Decision-Making Based on Trapezoidal Linguistic Uncertain Cubic Fuzzy TOPSIS Method

Author

Listed:
  • Aliya Fahmi

    (Department of Mathematics, Hazara University Mansehra, Pakistan)

  • Fazli Amin

    (Department of Mathematics, Hazara University Mansehra, Pakistan)

  • Saleem Abdullah

    (Department of Mathematics, Abdul Wali Khan University Mardan, Pakistan)

  • Asad Ali

    (Department of Mathematics, Hazara University Mansehra, Pakistan)

Abstract

In this paper, we describe the new idea of trapezoidal linguistic uncertain cubic fuzzy number. We discuss some basic operational laws of trapezoidal linguistic uncertain cubic fuzzy number and hamming distance of TrLUCFNs. We introduce the new concept of trapezoidal linguistic uncertain cubic fuzzy TOPSIS method. Furthermore, we extend the classical trapezoidal linguistic uncertain cubic fuzzy TOPSIS method to solve the MCDM method based on trapezoidal linguistic uncertain cubic fuzzy TOPSIS method. The new ranking method for TrLUCFNs is used to rank the alternatives. Finally, an illustrative example is given to verify and prove the practicality and effectiveness of the proposed method.

Suggested Citation

  • Aliya Fahmi & Fazli Amin & Saleem Abdullah & Asad Ali, 2019. "Approaches to Multi-Attribute Group Decision-Making Based on Trapezoidal Linguistic Uncertain Cubic Fuzzy TOPSIS Method," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 261-282, July.
  • Handle: RePEc:wsi:nmncxx:v:15:y:2019:i:02:n:s1793005719500145
    DOI: 10.1142/S1793005719500145
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    Cited by:

    1. Yan Pan & Yanzhe Li & Shouzhen Zeng & Junfang Hu & Kifayat Ullah, 2022. "Green Recycling Supplier Selection of Shared Bicycles: Interval-Valued Pythagorean Fuzzy Hybrid Weighted Methods Based on Self-Confidence Level," IJERPH, MDPI, vol. 19(9), pages 1-21, April.
    2. Ali Saeed Almuflih & Janpriy Sharma & Mohit Tyagi & Arvind Bhardwaj & Mohamed Rafik Noor Mohamed Qureshi & Nawaf Khan, 2022. "Leveraging the Dynamics of Food Supply Chains towards Avenues of Sustainability," Sustainability, MDPI, vol. 14(12), pages 1-15, June.
    3. Hanumantha Rao Sama & Long-Sheng Chen & Venkateswarlu Nalluri & Madhavaiah Chendragiri, 2023. "Enhancing service quality of rural public transport during the COVID-19 pandemic: a novel fuzzy approach," Public Transport, Springer, vol. 15(2), pages 479-501, June.
    4. Ali Aghazadeh Ardebili & Elio Padoano, 2020. "A Literature Review of the Concepts of Resilience and Sustainability in Group Decision-Making," Sustainability, MDPI, vol. 12(7), pages 1-22, March.

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