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《山东大学学报(理学版)》 ›› 2026, Vol. 61 ›› Issue (1): 103-115.doi: 10.6040/j.issn.1671-9352.0.2024.429

• • 上一篇    

T-球形模糊环境下基于减法和除法算子的灰色-多准则妥协解排序方法

邓世海1,郑婷婷1,2*,赖龙翔1   

  1. 1.安徽大学数学科学学院, 安徽 合肥 230601;2.安徽大学大学数学教学中心, 安徽 合肥 230601
  • 发布日期:2026-01-15
  • 通讯作者: 郑婷婷(1978— ),女,教授,博士,研究方向为粒计算和知识发现. E-mail:tt-zheng@163.com
  • 作者简介:邓世海(2001— ),男,硕士研究生,研究方向为粒计算和知识发现. E-mail:3315106493@qq.com*通信作者:郑婷婷(1978— ),女,教授,博士,研究方向为粒计算和知识发现. E-mail:tt-zheng@163.com
  • 基金资助:
    国家自然科学基金资助项目(61806001)

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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摘要： 提出T-球形模糊数的减法和除法算子,讨论T-球形模糊数减法和除法算子的性质。提出基于T-球形模糊减法和除法算子的灰色关联分析方法,并将该方法与多准则妥协解排序(vlsekriterijumska optimizacija i kompromisno resenje, VIKOR)方法结合,防止计算过程中T-球形模糊信息的丢失,利用一种新的得分函数完善T-球形模糊数的比较机制。通过实例及对比实验说明所提的基于T-球形模糊减法和除法算子的灰色-VIKOR方法的有效性和优越性,为解决T-球形模糊环境下的多属性决策问题提供新的有效的方法。

关键词: T-球形模糊集, T-球形模糊交叉熵, 减法和除法算子, 得分函数, 灰色-VIKOR方法

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

中图分类号: 

  • O159
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