New Rough Approximations Based on E-Neighborhoods
This paper puts forward some rough approximations which are motivated from topology. Given a subset R⊆U×U, we can use 8 types of E-neighborhoods to construct approximations of an arbitrary X⊆U on the one hand. On the other hand, we can also construct approximations relying on a topology which is ind...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6666853 |
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| Summary: | This paper puts forward some rough approximations which are motivated from topology. Given a subset R⊆U×U, we can use 8 types of E-neighborhoods to construct approximations of an arbitrary X⊆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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| ISSN: | 1076-2787 1099-0526 |