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

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

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(vlsekreterijumska 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。

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 vlsekreterijumska 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.

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

Key words

T-spherical fuzzy set / T-spherical fuzzy cross-entropy / subtraction and division operators / score function / grey-VIKOR method

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基金资助

国家自然科学基金资助项目(61806001)