| 李松,郝忠孝.多范畴的Vague区域关系表示与分析[J].高技术通讯(中文),2010,20(3):253~258 |
| 多范畴的Vague区域关系表示与分析 |
| Representation and analyse of multi category relations of Vague regions |
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| DOI： |
| 中文关键词: Vague区域， Vague集， Rough集， Vague区域关系， 交集模型 |
| 英文关键词: Vague region, Vague sets, Rough sets, Vague region relations, intersection model |
| 基金项目:国家自然科学基金(60673136)，国家青年科学基金项目(60903083/F0206)和黑龙江省自然科学基金(F200601)资助项目 |
| 作者 | 单位 | | 李松 | 哈尔滨理工大学计算机科学与技术学院 | | 郝忠孝 | 哈尔滨理工大学计算机科学与技术学院；哈尔滨工业大学计算机科学与技术学院 |
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| 中文摘要: |
| 为了处理模糊区域内模糊点的不确定信息和在不同范畴下表示模糊区域关系，针对模糊区域内模糊点的不确定性和模糊区域粗糙表示的复杂性和多样性， 基于Vague集和Rough集的结合对模糊区域及模糊区域关系进行了详细的研究。定义了Vague区域、模糊相似类区域和粗糙Vague区域等基本概念，详细研究了多范畴的Vague区域关系表示方法，提出了不同粗糙近似模型的多类粗糙Vague区域关系的表示方法，进一步给出了粗糙Vague区域关系的可能蕴涵式。研究成果可对不确定的模糊区域进行统一数学建模和数学描述，较好地解决了多范 |
| 英文摘要: |
| To deal with the uncertain information of the Vague points in the Vague regions and represent the multi category Vague region relations, the Vague regions and Vague region relations were studied based on the Vague sets and the Rough sets. The concepts of the Vague regions, Vague approximate class region and rough Vague regions were given. Based on the Vague sets and the Rough sets, the multi category relations of the Vague regions were discussed and the different types of rough Vague region relations of the different rough approximate model were given. Furthermore, the possible implicative expressions were proposed. The production in this work can establish the mathematical modeling and the mathematical description on the uncertain Vague regions and can handle the multi category Vague region relations well. |
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