Fermatean neutrosophic rough set
In order to balance uncertainty, a reasonable approximation of a crisp set that yields lower as well as upper approximations of the set is made. Here, first, a special class of Fermatean Neutrosophic Set is devised by associating the Neutrosophic Set with the Fermatean Fuzzy Set. A relatively new co...
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| Format: | Article |
| Language: | English |
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REA Press
2024-12-01
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| Series: | Computational Algorithms and Numerical Dimensions |
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| Online Access: | https://www.journal-cand.com/article_207181_2c1c88aef76994a91664143372d0a1bf.pdf |
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| author | S Bhuvaneshwari C Antony Crispin Sweety R Sumathi |
| author_facet | S Bhuvaneshwari C Antony Crispin Sweety R Sumathi |
| author_sort | S Bhuvaneshwari |
| collection | DOAJ |
| description | In order to balance uncertainty, a reasonable approximation of a crisp set that yields lower as well as upper approximations of the set is made. Here, first, a special class of Fermatean Neutrosophic Set is devised by associating the Neutrosophic Set with the Fermatean Fuzzy Set. A relatively new concept of Fermatean Neutrosophic Approximation Space and Fermatean Neutrosophic approximation operators are introduced. In this context, a new class of Fermatean Neutrosophic Rough set is established, and a few of its characteristics are mentioned. Also, the cut sets of Fermatean Neutrosophic Rough sets, which characterize Fermatean Neutrosophic rough approximation operators, are investigated. |
| format | Article |
| id | doaj-art-17b64b7ba71e43289463f1a5bc50a50c |
| institution | Kabale University |
| issn | 2980-7646 2980-9320 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | REA Press |
| record_format | Article |
| series | Computational Algorithms and Numerical Dimensions |
| spelling | doaj-art-17b64b7ba71e43289463f1a5bc50a50c2025-01-30T11:23:34ZengREA PressComputational Algorithms and Numerical Dimensions2980-76462980-93202024-12-013430832310.22105/cand.2024.482087.1153207181Fermatean neutrosophic rough setS Bhuvaneshwari0C Antony Crispin Sweety1R Sumathi2Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for women-641043, Tamil Nadu, India.Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for women-641043, Tamil Nadu, India.Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa Vidyapeetham, India.In order to balance uncertainty, a reasonable approximation of a crisp set that yields lower as well as upper approximations of the set is made. Here, first, a special class of Fermatean Neutrosophic Set is devised by associating the Neutrosophic Set with the Fermatean Fuzzy Set. A relatively new concept of Fermatean Neutrosophic Approximation Space and Fermatean Neutrosophic approximation operators are introduced. In this context, a new class of Fermatean Neutrosophic Rough set is established, and a few of its characteristics are mentioned. Also, the cut sets of Fermatean Neutrosophic Rough sets, which characterize Fermatean Neutrosophic rough approximation operators, are investigated.https://www.journal-cand.com/article_207181_2c1c88aef76994a91664143372d0a1bf.pdffermatean neutrosophic setfermatean neutrosophic approximation spacefermatean neutrosophic rough setfermatean neutrosophic relation |
| spellingShingle | S Bhuvaneshwari C Antony Crispin Sweety R Sumathi Fermatean neutrosophic rough set Computational Algorithms and Numerical Dimensions fermatean neutrosophic set fermatean neutrosophic approximation space fermatean neutrosophic rough set fermatean neutrosophic relation |
| title | Fermatean neutrosophic rough set |
| title_full | Fermatean neutrosophic rough set |
| title_fullStr | Fermatean neutrosophic rough set |
| title_full_unstemmed | Fermatean neutrosophic rough set |
| title_short | Fermatean neutrosophic rough set |
| title_sort | fermatean neutrosophic rough set |
| topic | fermatean neutrosophic set fermatean neutrosophic approximation space fermatean neutrosophic rough set fermatean neutrosophic relation |
| url | https://www.journal-cand.com/article_207181_2c1c88aef76994a91664143372d0a1bf.pdf |
| work_keys_str_mv | AT sbhuvaneshwari fermateanneutrosophicroughset AT cantonycrispinsweety fermateanneutrosophicroughset AT rsumathi fermateanneutrosophicroughset |