JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (1): 103-115.doi: 10.6040/j.issn.1671-9352.0.2024.429

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Gray-vlsekriterijumska optimizacija i kompromisno resenje method based on subtraction and division operators in T-spherical fuzzy environment

DENG Shihai1, ZHENG Tingting1,2*, LAI Longxiang1   

  1. 1. School of Mathematical Sciences, Anhui University, Hefei 230601, Anhui, China;
    2. Center for University Mathematics Teaching, Anhui University, Hefei 230601, Anhui, China
  • Published:2026-01-15

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Abstract: The subtraction and division operators for T-spherical fuzzy numbers are proposed, and the properties of these subtraction and division operators for T-spherical fuzzy numbers are discussed. A grey relational analysis method based on T-spherical fuzzy subtraction and division operators is introduced. This method is then integrated with the vlsekriterijumska optimizacija i kompromisno resenje(VIKOR)method to prevent the loss of T-spherical fuzzy information during calculations. Additionally, a novel score function is employed to refine the comparison mechanism for T-spherical fuzzy numbers. The validity and superiority of the proposed grey-VIKOR method, grounded in T-spherical fuzzy subtraction and division operators, are demonstrated through illustrative examples and comparative experiments. This approach provides a novel and effective methodology for addressing multi-attribute decision-making problems in T-spherical fuzzy environments.

Key words: T-spherical fuzzy set, T-spherical fuzzy cross-entropy, subtraction and division operators, score function, grey-VIKOR method

CLC Number: 

  • O159
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