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| 基于直觉模糊容差粗糙集的三支决策模型 |
| Three-way decision model based on intuitionistic fuzzy tolerance rough sets |
| 投稿时间：2024-10-18 修订日期：2024-11-23 |
| DOI： |
| 中文关键词: 直觉模糊容差粗糙集 正、负离差值 条件概率 三支决策 |
| 英文关键词: Intuitionistic fuzzy tolerance rough sets Positive and negative deviation values Conditional probability Three-way decision |
| 基金项目:国家自然科学基金项目(12371462, 12231007); 福建省自然科学基金项目(2021J01984, 2024J01803) |
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| 中文摘要: |
| 在直觉模糊信息系统中, 首先定义了新的直觉模糊容差度, 得到了直觉模糊容差类的分类思路; 给出了新的正、负离差值的计算公式; 在此基础上提出了一种新的条件概率计算方式; 从而建立了一个基于直觉模糊容差粗糙集的三支决策模型, 该模型具有分类、排序并选出最优方案的作用. 最后, 通过例子将三支决策模型应用于多属性决策问题中, 并结合相关对比实验验证了模型的可行性和稳定性, 以此表明本模型在处理复杂决策问题时具有明显的优势. |
| 英文摘要: |
| In the intuitionistic fuzzy information system, a new intuitionistic fuzzy tolerance degree is defined, a classification approach for intuitionistic fuzzy tolerance classes is proposed. New formulas for calculating positive and negative deviation values are introduced. Based on these, a novel method for calculating conditional probability is developed, leading to the establishment of a three-way decision model based on intuitionistic fuzzy tolerance rough sets. This model is capable of classification, ranking, and selecting the optimal solution. Finally, examples and comparative experiments are provided to verify the feasibility and stability of the model. |
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