Serial relation and textural rough set
The generalized rough set theory is based on the lower and upper approximation operators defined on the binary relation. The rough sets obtained from serial relations take an important place in topological applications. In this paper, we consider serial relation for texture spaces. A texturing U of...
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University of Kragujevac, Faculty of Technical Sciences Čačak
2021-01-01
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| Series: | Mathematica Moravica |
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| Online Access: | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2021/1450-59322102069D.pdf |
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| author | Dost Şenol |
| author_facet | Dost Şenol |
| author_sort | Dost Şenol |
| collection | DOAJ |
| description | The generalized rough set theory is based on the lower and upper approximation operators defined on the binary relation. The rough sets obtained from serial relations take an important place in topological applications. In this paper, we consider serial relation for texture spaces. A texturing U of a set U is a complete and completely distributive lattice of subset of the power set P(U) which satisfies some certain conditions. Serial relation is defined by using textural sections and presections under a direlation on a texturing. We give some properties of serial direlation and a discussion on rough set theory from the textural point of view under serial direlation. Further, the concept of serial direlation has been characterized in terms of lower and upper textural approximation operators. |
| format | Article |
| id | doaj-art-a7a6ddf4a3dd4997bbc741dfc9bf9088 |
| institution | OA Journals |
| issn | 1450-5932 2560-5542 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | University of Kragujevac, Faculty of Technical Sciences Čačak |
| record_format | Article |
| series | Mathematica Moravica |
| spelling | doaj-art-a7a6ddf4a3dd4997bbc741dfc9bf90882025-08-20T01:54:34ZengUniversity of Kragujevac, Faculty of Technical Sciences ČačakMathematica Moravica1450-59322560-55422021-01-01252697910.5937/MatMor2102069D1450-59322102069DSerial relation and textural rough setDost Şenol0Hacettepe University, Department of Secondary Science and Mathematics Education, Ankara, TurkeyThe generalized rough set theory is based on the lower and upper approximation operators defined on the binary relation. The rough sets obtained from serial relations take an important place in topological applications. In this paper, we consider serial relation for texture spaces. A texturing U of a set U is a complete and completely distributive lattice of subset of the power set P(U) which satisfies some certain conditions. Serial relation is defined by using textural sections and presections under a direlation on a texturing. We give some properties of serial direlation and a discussion on rough set theory from the textural point of view under serial direlation. Further, the concept of serial direlation has been characterized in terms of lower and upper textural approximation operators.https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2021/1450-59322102069D.pdfdirelationtexturefuzzy setsserial relationrough set |
| spellingShingle | Dost Şenol Serial relation and textural rough set Mathematica Moravica direlation texture fuzzy sets serial relation rough set |
| title | Serial relation and textural rough set |
| title_full | Serial relation and textural rough set |
| title_fullStr | Serial relation and textural rough set |
| title_full_unstemmed | Serial relation and textural rough set |
| title_short | Serial relation and textural rough set |
| title_sort | serial relation and textural rough set |
| topic | direlation texture fuzzy sets serial relation rough set |
| url | https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2021/1450-59322102069D.pdf |
| work_keys_str_mv | AT dostsenol serialrelationandtexturalroughset |