Rough sets and topological spaces based on similarity

被引：0
|
作者：
E. A. Abo-Tabl
机构：
[1] Assiut University,Mathematics Department, Faculty of Science
[2] Qassim University,Mathematics Department, Faculty of Science and Arts, Al
来源：
International Journal of Machine Learning and Cybernetics | 2013年 / 4卷
关键词：
Lower and upper approximations; Similarity relations; Rough sets; Topological space; Continuous function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Ordinary topology now has been used in many sub-fields of artificial intelligence, such as knowledge representation, spatial reasoning etc. In this paper, we discuss the relationships between the theory of rough sets and topological spaces. We obtain the concepts of rough sets from topology, also we obtain the concepts of topological space from rough sets. Furthermore, if the function between two topological spaces is bijective, open and continuous, then the image and the inverse image of a rough set are also rough.
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页码：451 / 458
页数：7
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