Rough Set Theory Applied To Hyper BCK-Algebra
The aim of this paper is to introduce the notions of lower and upper approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra and rough hyper BCK-ideal, too, and we investigate their properties.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2014-06-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/37 |
| _version_ | 1818541333205221376 |
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| author | R. Ameri R. Moradian R. A. Borzooei |
| author_facet | R. Ameri R. Moradian R. A. Borzooei |
| author_sort | R. Ameri |
| collection | DOAJ |
| description | The aim of this paper is to introduce the notions of lower and upper approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra and rough hyper BCK-ideal, too, and we investigate their properties. |
| first_indexed | 2024-12-11T22:07:54Z |
| format | Article |
| id | doaj.art-d711275c9de64ac791728b56dcf4cc10 |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-12-11T22:07:54Z |
| publishDate | 2014-06-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-d711275c9de64ac791728b56dcf4cc102022-12-22T00:48:54ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142014-06-0126132042Rough Set Theory Applied To Hyper BCK-AlgebraR. Ameri0R. Moradian1R. A. Borzooei2School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, P.O. Box 14155-6455, Teheran, IranDepartment of Mathematics, Payam Noor University, Tehran, IranDepartment of Mathematics, Shahid Beheshti University, Tehran, IranThe aim of this paper is to introduce the notions of lower and upper approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra and rough hyper BCK-ideal, too, and we investigate their properties.http://eiris.it/ojs/index.php/ratiomathematica/article/view/37rough set, rough (weak, strong) hyper BCK-ideal, rough hyper subalgebra, regular congruence relation. |
| spellingShingle | R. Ameri R. Moradian R. A. Borzooei Rough Set Theory Applied To Hyper BCK-Algebra Ratio Mathematica rough set, rough (weak, strong) hyper BCK-ideal, rough hyper subalgebra, regular congruence relation. |
| title | Rough Set Theory Applied To Hyper BCK-Algebra |
| title_full | Rough Set Theory Applied To Hyper BCK-Algebra |
| title_fullStr | Rough Set Theory Applied To Hyper BCK-Algebra |
| title_full_unstemmed | Rough Set Theory Applied To Hyper BCK-Algebra |
| title_short | Rough Set Theory Applied To Hyper BCK-Algebra |
| title_sort | rough set theory applied to hyper bck algebra |
| topic | rough set, rough (weak, strong) hyper BCK-ideal, rough hyper subalgebra, regular congruence relation. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/37 |
| work_keys_str_mv | AT rameri roughsettheoryappliedtohyperbckalgebra AT rmoradian roughsettheoryappliedtohyperbckalgebra AT raborzooei roughsettheoryappliedtohyperbckalgebra |