集值信息系统中的粗糙集扩展模型 |
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引用本文: | 邹维丽,李天瑞,陈红梅.集值信息系统中的粗糙集扩展模型[J].广西大学学报(自然科学版),2009,34(5). |
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作者姓名: | 邹维丽 李天瑞 陈红梅 |
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作者单位: | 邹维丽(西南交通大学,数学学院,四川,成都,610031);李天瑞,陈红梅(西南交通大学,信息科学与技术学院,四川,成都,610031) |
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基金项目: | 国家自然科学基金资助项目,西南交通大学博士创新基金 |
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摘 要: | 根据属性值的相容程度在集值信息系统上定义了一种新的关系--α相容关系;给出了相应的近似集合和相关性质,并讨论了它与相容关系、拟序关系之间关系;提出了基于这种关系的粗糙集扩展模型,并分析比较了该模型与现有的粗糙集扩展模型之间的关系;最后,通过一个实例来直观地解释这些关系之间的联系.
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关 键 词: | 集值信息系统 相容关系 拟序关系 α相容关系 |
New extended rough set model in set-valued information system |
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Abstract: | A new relation called a tolerance relation in the set-valued information system is defined by a tolerance degree of the attribute value. Then, its basic properties and approximations are obtained , and the relations among tolerance relation, preorder relation and α tolerance relation are discussed. Furthermore, an extended rough set model based on α tolerance relation is proposed, and the relations between this model and other extended models are compared. Finally, an example is given to illustrate the connection among these models. |
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Keywords: | set-valued information system tolerance relation preorder relation a tolerance relation |
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