A study on new classes of binary soft sets in topological rough approximation space
Soft binary relation is used to define new classes of soft sets, namely BR-soft simply open set and BR-soft simply* alpha open set, in topological rough approximation space over two different universes. The defined set provides information on the missing elements of a BR-soft set and can help in si...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2023-12-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/607 |
| _version_ | 1827395827162677248 |
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| author | C.R. Parvathy A. Sofia |
| author_facet | C.R. Parvathy A. Sofia |
| author_sort | C.R. Parvathy |
| collection | DOAJ |
| description |
Soft binary relation is used to define new classes of soft sets, namely BR-soft simply open set and BR-soft simply* alpha open set, in topological rough approximation space over two different universes. The defined set provides information on the missing elements of a BR-soft set and can help in simplifying decision making. Approximation operators are defined and the characteristics of the proposed sets are studied with examples. The relationship between the defined sets and other soft sets is brought out. An accuracy check was done to compare the proposed method with other methods. It is identified that the proposed method is more accurate.
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| first_indexed | 2024-03-08T18:40:28Z |
| format | Article |
| id | doaj.art-f6e58f96f57e43219c088a9cbea3ee3d |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:40:28Z |
| publishDate | 2023-12-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-f6e58f96f57e43219c088a9cbea3ee3d2023-12-29T09:21:04ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112023-12-01112410.31489/2023m4/79-94607A study on new classes of binary soft sets in topological rough approximation spaceC.R. ParvathyA. Sofia Soft binary relation is used to define new classes of soft sets, namely BR-soft simply open set and BR-soft simply* alpha open set, in topological rough approximation space over two different universes. The defined set provides information on the missing elements of a BR-soft set and can help in simplifying decision making. Approximation operators are defined and the characteristics of the proposed sets are studied with examples. The relationship between the defined sets and other soft sets is brought out. An accuracy check was done to compare the proposed method with other methods. It is identified that the proposed method is more accurate. https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/607Soft setrough setsimply openapproximation spacetopological space |
| spellingShingle | C.R. Parvathy A. Sofia A study on new classes of binary soft sets in topological rough approximation space Қарағанды университетінің хабаршысы. Математика сериясы Soft set rough set simply open approximation space topological space |
| title | A study on new classes of binary soft sets in topological rough approximation space |
| title_full | A study on new classes of binary soft sets in topological rough approximation space |
| title_fullStr | A study on new classes of binary soft sets in topological rough approximation space |
| title_full_unstemmed | A study on new classes of binary soft sets in topological rough approximation space |
| title_short | A study on new classes of binary soft sets in topological rough approximation space |
| title_sort | study on new classes of binary soft sets in topological rough approximation space |
| topic | Soft set rough set simply open approximation space topological space |
| url | https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/607 |
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