Topological approximations based on relations induced from differences
The starting point of rough set theory is the indiscernibility relation, which is generated by information about objects of interest. The indiscernibility relation is intended to express the fact that due to the lack of knowledge we are unable to discern some objects employing the available informat...
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Faculty of engineering, Tanta University
2018-08-01
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| Series: | Journal of Engineering Research - Egypt |
| Subjects: | |
| Online Access: | https://erjeng.journals.ekb.eg/article_125127_8c3d93a149ad2ef8e61a53555bcedc2f.pdf |
| _version_ | 1797798974684397568 |
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| author | Rukaia Rashed A. Azzam |
| author_facet | Rukaia Rashed A. Azzam |
| author_sort | Rukaia Rashed |
| collection | DOAJ |
| description | The starting point of rough set theory is the indiscernibility relation, which is generated by information about objects of interest. The indiscernibility relation is intended to express the fact that due to the lack of knowledge we are unable to discern some objects employing the available information. Therefore, generally, we are unable to deal with single object. Nevertheless, we have to consider clusters of indiscernible objects. In this paper, a relationship was created through a table of given data. This relationship is based on the expert's opinion in the field of data. Based on this relationship, we constructed a topological under the lowest possible conditions. This topology describes the roughness of the set and shows that the intermittent topology obtained is stronger and more precise than others Other studies, also in this paper, compared the approximations obtained using the precision scale to determine the best |
| first_indexed | 2024-03-13T04:12:59Z |
| format | Article |
| id | doaj.art-dc7dce8d4bbe434e87b666abf02694ac |
| institution | Directory Open Access Journal |
| issn | 2356-9441 2735-4873 |
| language | Arabic |
| last_indexed | 2024-03-13T04:12:59Z |
| publishDate | 2018-08-01 |
| publisher | Faculty of engineering, Tanta University |
| record_format | Article |
| series | Journal of Engineering Research - Egypt |
| spelling | doaj.art-dc7dce8d4bbe434e87b666abf02694ac2023-06-21T06:53:41ZaraFaculty of engineering, Tanta UniversityJournal of Engineering Research - Egypt2356-94412735-48732018-08-012August11612710.21608/erjeng.2018.125127125127Topological approximations based on relations induced from differencesRukaia Rashed0A. Azzam1Department of Mathematics, Faculty of Education, Al-Zawia University,Department of Mathematics, Faculty of Science, Assuit University, New Valley, EgyptThe starting point of rough set theory is the indiscernibility relation, which is generated by information about objects of interest. The indiscernibility relation is intended to express the fact that due to the lack of knowledge we are unable to discern some objects employing the available information. Therefore, generally, we are unable to deal with single object. Nevertheless, we have to consider clusters of indiscernible objects. In this paper, a relationship was created through a table of given data. This relationship is based on the expert's opinion in the field of data. Based on this relationship, we constructed a topological under the lowest possible conditions. This topology describes the roughness of the set and shows that the intermittent topology obtained is stronger and more precise than others Other studies, also in this paper, compared the approximations obtained using the precision scale to determine the besthttps://erjeng.journals.ekb.eg/article_125127_8c3d93a149ad2ef8e61a53555bcedc2f.pdftopological approximationsindiscernibility relationtopologyprecision scale |
| spellingShingle | Rukaia Rashed A. Azzam Topological approximations based on relations induced from differences Journal of Engineering Research - Egypt topological approximations indiscernibility relation topology precision scale |
| title | Topological approximations based on relations induced from differences |
| title_full | Topological approximations based on relations induced from differences |
| title_fullStr | Topological approximations based on relations induced from differences |
| title_full_unstemmed | Topological approximations based on relations induced from differences |
| title_short | Topological approximations based on relations induced from differences |
| title_sort | topological approximations based on relations induced from differences |
| topic | topological approximations indiscernibility relation topology precision scale |
| url | https://erjeng.journals.ekb.eg/article_125127_8c3d93a149ad2ef8e61a53555bcedc2f.pdf |
| work_keys_str_mv | AT rukaiarashed topologicalapproximationsbasedonrelationsinducedfromdifferences AT aazzam topologicalapproximationsbasedonrelationsinducedfromdifferences |