| 吴淑棋1
，黄韩亮1*
，姚 卫2.基于直觉模糊容差粗糙集的三支决策模型[J].海南师范大学学报自科版,2025,38(3):253-263 |
| 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 |
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| DOI：10.12051/j.issn.1674-4942.2025.03.001 |
| 中文关键词: 三支决策 直觉模糊容差粗糙集 正、负离差值 条件概率 |
| 英文关键词: three-way decision intuitionistic fuzzy tolerance rough sets positive and negative deviation values conditional
probability |
| 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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| 摘要点击次数: 329 |
| 全文下载次数: 204 |
| 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。 |
| 英文摘要: |
| In the intuitionistic fuzzy information system, a new intuitionistic fuzzy tolerance degree is defined, a classifica⁃
tion approach for intuitionistic fuzzy tolerance classes is proposed. New formulas for calculating positive and negative devia⁃
tion 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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