Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets
Operations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated. An example is presented to show that the R-union of two internal cubic soft sets might not be internal. A sufficient condition is pro...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/458638 |
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| author | G. Muhiuddin Feng Feng Young Bae Jun |
| author_facet | G. Muhiuddin Feng Feng Young Bae Jun |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | Operations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated. An example is presented to show that the R-union of two internal cubic soft sets might not be internal. A sufficient condition is provided, which ensure that the R-union of two internal cubic soft sets is also internal. Moreover, some properties of cubic soft subalgebras of BCK/BCI-algebras based on a given parameter are discussed. |
| format | Article |
| id | doaj-art-38e9701e1ba24a59afe5ced0b60f41e9 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-38e9701e1ba24a59afe5ced0b60f41e92025-02-03T07:25:16ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/458638458638Subalgebras of BCK/BCI-Algebras Based on Cubic Soft SetsG. Muhiuddin0Feng Feng1Young Bae Jun2Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Applied Mathematics, School of Science, Xian University of Posts and Telecommunications, Xian 710121, ChinaDepartment of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of KoreaOperations of cubic soft sets including “AND” operation and “OR” operation based on P-orders and R-orders are introduced and some related properties are investigated. An example is presented to show that the R-union of two internal cubic soft sets might not be internal. A sufficient condition is provided, which ensure that the R-union of two internal cubic soft sets is also internal. Moreover, some properties of cubic soft subalgebras of BCK/BCI-algebras based on a given parameter are discussed.http://dx.doi.org/10.1155/2014/458638 |
| spellingShingle | G. Muhiuddin Feng Feng Young Bae Jun Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets The Scientific World Journal |
| title | Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets |
| title_full | Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets |
| title_fullStr | Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets |
| title_full_unstemmed | Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets |
| title_short | Subalgebras of BCK/BCI-Algebras Based on Cubic Soft Sets |
| title_sort | subalgebras of bck bci algebras based on cubic soft sets |
| url | http://dx.doi.org/10.1155/2014/458638 |
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