An efficient scheme to study the approximation of BS ideals in semigroups Article Swipe
Nosheen Malik
,
Muhammad Shabir
,
Rizwan Gul
,
Sanaa A. Bajri
,
Hamiden Abd El‐Wahed Khalifa
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.2298/fil2501345m
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.2298/fil2501345m
Rough set (RS) theory is a valuable mathematical tool to address incomplete knowledge. In contrast, BS sets (BSSs) can handle the vagueness and the bipolarity of the data in a variety of scenarios. The main goal of the current article is to analyze the concept of rough BS (BS) ideals in semigroup (Sg) by combining RS theory and BSSs. To this end, the ideas of BS left ideals (BS-LIs), BS right ideals (BS-RIs), BS two-sided ideals (BS-2SIs), BS interior ideals (BS-IIs) and BS bi-ideals (BS-BIs) over the Sg ? are developed. Some significant properties associated with these notions are highlighted with several concrete illustrations. Furthermore, it has been noted that the congruence relation (Cr) and complete congruence relation (CCr) are found to be essential for creating rough approximations of BS ideals. As a result, their affiliated features are evaluated through Cr and CCr.
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- Landing Page
- https://doi.org/10.2298/fil2501345m
- OA Status
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- References
- 49
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An efficient scheme to study the approximation of BS ideals in semigroupsWork title
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2025-01-01Full publication date if available
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Nosheen Malik, Muhammad Shabir, Rizwan Gul, Sanaa A. Bajri, Hamiden Abd El‐Wahed KhalifaList of authors in order
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https://doi.org/10.2298/fil2501345mPublisher landing page
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0Total citation count in OpenAlex
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| abstract_inverted_index.vagueness | 21 |
| abstract_inverted_index.(BS-2SIs), | 76 |
| abstract_inverted_index.affiliated | 135 |
| abstract_inverted_index.associated | 94 |
| abstract_inverted_index.bipolarity | 24 |
| abstract_inverted_index.congruence | 111, 116 |
| abstract_inverted_index.developed. | 90 |
| abstract_inverted_index.incomplete | 11 |
| abstract_inverted_index.knowledge. | 12 |
| abstract_inverted_index.properties | 93 |
| abstract_inverted_index.scenarios. | 32 |
| abstract_inverted_index.highlighted | 99 |
| abstract_inverted_index.significant | 92 |
| abstract_inverted_index.Furthermore, | 104 |
| abstract_inverted_index.mathematical | 7 |
| abstract_inverted_index.approximations | 127 |
| abstract_inverted_index.illustrations. | 103 |
| cited_by_percentile_year | |
| countries_distinct_count | 2 |
| institutions_distinct_count | 5 |
| citation_normalized_percentile.value | 0.39298389 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |