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Some T-Spherical Fuzzy Einstein Interactive Aggregation Operators and Their Application to Selection of Photovoltaic Cells

Author

Listed:
  • Shouzhen Zeng
  • Muhammad Munir
  • Tahir Mahmood
  • Muhammad Naeem

Abstract

In this article, it is pointed out that the existing intuitionistic fuzzy and T-spherical fuzzy Einstein averaging and geometric operators have some limitations. To overcome these limitations, we proposed some new averaging and geometric operators in the T-spherical fuzzy environment instead of the intuitionistic fuzzy environment because the T-spherical fuzzy set is the most generalized form and the proposed operators can be particularized to the intuitionistic fuzzy environment. First, new operational laws for T-spherical fuzzy information are defined, on the basis of which Einstein geometric interaction operators and Einstein averaging interactive aggregation operators are then proposed. Some basic properties and advantages of proposed aggregation operators are also discussed. Moreover, the proposed operators are applied to the MADM problem to check their reliability. The superiority of the proposed operators over existing work is checked with the help of an example.

Suggested Citation

  • Shouzhen Zeng & Muhammad Munir & Tahir Mahmood & Muhammad Naeem, 2020. "Some T-Spherical Fuzzy Einstein Interactive Aggregation Operators and Their Application to Selection of Photovoltaic Cells," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-16, June.
    • Handle: RePEc:hin:jnlmpe:1904362
    DOI: 10.1155/2020/1904362
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    Cited by:

    1. Wei Yang & Yongfeng Pang, 2022. "T-Spherical Fuzzy Bonferroni Mean Operators and Their Application in Multiple Attribute Decision Making," Mathematics, MDPI, vol. 10(6), pages 1-33, March.
    2. Nhat-Luong Nhieu, 2024. "The T-Spherical Fuzzy Einstein Interaction Operation Matrix Energy Decision-Making Approach: The Context of Vietnam Offshore Wind Energy Storage Technologies Assessment," Mathematics, MDPI, vol. 12(16), pages 1-25, August.
    3. Shougi S. Abosuliman & Saleem Abdullah & Muhammad Qiyas, 2020. "Three-Way Decisions Making Using Covering Based Fractional Orthotriple Fuzzy Rough Set Model," Mathematics, MDPI, vol. 8(7), pages 1-31, July.
    4. Faruk Görçün, Ömer. & Chatterjee, Prasenjit. & Stević, Željko. & Küçükönder, Hande., 2024. "An integrated model for road freight transport firm selection in third-party logistics using T-spherical Fuzzy sets," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
    5. Peng Liu & Tieyan Zhang & Furui Tian & Yun Teng & Miaodong Yang, 2024. "Optimized Grid Partitioning and Scheduling in Multi-Energy Systems Using a Hybrid Decision-Making Approach," Energies, MDPI, vol. 17(13), pages 1-21, July.

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