期刊
COMPLEXITY
卷 2021, 期 -, 页码 -出版社
WILEY-HINDAWI
DOI: 10.1155/2021/6666853
关键词
-
资金
- National Natural Science Foundation of China [11771263, 61967001]
This paper presents rough approximations based on topology, using 8 types of E-neighborhoods to construct approximations of any subset X of U, and studying properties and relationships between these approximations. It also provides some easy-to-understand examples and compares our approximations with those in published literature.
This paper puts forward some rough approximations which are motivated from topology. Given a subset R subset of U x U, we can use 8 types of E-neighborhoods to construct approximations of an arbitrary X subset of U on the one hand. On the other hand, we can also construct approximations relying on a topology which is induced by an E-neighborhood. Properties of these approximations and relationships between them are studied. For convenience of use, we also give some useful and easy-to-understand examples and make a comparison between our approximations and those in the published literature.
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