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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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6666853 |
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| author | Tareq M. Al-shami Wen Qing Fu E. A. Abo-Tabl |
| author_facet | Tareq M. Al-shami Wen Qing Fu E. A. Abo-Tabl |
| author_sort | Tareq M. Al-shami |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a6f7dd32a96745109cb3cc1cce0dac33 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-a6f7dd32a96745109cb3cc1cce0dac332025-02-03T06:05:42ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66668536666853New Rough Approximations Based on E-NeighborhoodsTareq M. Al-shami0Wen Qing Fu1E. A. Abo-Tabl2Freshman Academy, Xi’an Technological University, Xi’an 710021, ChinaFreshman Academy, Xi’an Technological University, Xi’an 710021, ChinaDepartment of Mathematics, College of Arts and Science, Methnab, Qassim University, Buridah, Saudi ArabiaThis 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.http://dx.doi.org/10.1155/2021/6666853 |
| spellingShingle | Tareq M. Al-shami Wen Qing Fu E. A. Abo-Tabl New Rough Approximations Based on E-Neighborhoods Complexity |
| title | New Rough Approximations Based on E-Neighborhoods |
| title_full | New Rough Approximations Based on E-Neighborhoods |
| title_fullStr | New Rough Approximations Based on E-Neighborhoods |
| title_full_unstemmed | New Rough Approximations Based on E-Neighborhoods |
| title_short | New Rough Approximations Based on E-Neighborhoods |
| title_sort | new rough approximations based on e neighborhoods |
| url | http://dx.doi.org/10.1155/2021/6666853 |
| work_keys_str_mv | AT tareqmalshami newroughapproximationsbasedoneneighborhoods AT wenqingfu newroughapproximationsbasedoneneighborhoods AT eaabotabl newroughapproximationsbasedoneneighborhoods |