On Rough Hyperideals in Hyperlattices
We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices. Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hy...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/915217 |
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| _version_ | 1832550731917295616 |
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| author | Pengfei He Xiaolong Xin Jianming Zhan |
| author_facet | Pengfei He Xiaolong Xin Jianming Zhan |
| author_sort | Pengfei He |
| collection | DOAJ |
| description | We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices. Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hyperideals of hyperlattices. In addition, we consider rough hyperideals in Cartesian products and quotients of hyperlattices. Finally, we investigate some properties about homomorphic images of rough hyperideals in hyperlattices. |
| format | Article |
| id | doaj-art-db83b8d1b112477a8a65cebb7910c2f9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-db83b8d1b112477a8a65cebb7910c2f92025-02-03T06:06:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/915217915217On Rough Hyperideals in HyperlatticesPengfei He0Xiaolong Xin1Jianming Zhan2Department of Mathematics, Northwest University, Xi'an 710127, ChinaDepartment of Mathematics, Northwest University, Xi'an 710127, ChinaDepartment of Mathematics, Hubei University for Nationalities, Enshi 445000, ChinaWe introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices. Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hyperideals of hyperlattices. In addition, we consider rough hyperideals in Cartesian products and quotients of hyperlattices. Finally, we investigate some properties about homomorphic images of rough hyperideals in hyperlattices.http://dx.doi.org/10.1155/2013/915217 |
| spellingShingle | Pengfei He Xiaolong Xin Jianming Zhan On Rough Hyperideals in Hyperlattices Journal of Applied Mathematics |
| title | On Rough Hyperideals in Hyperlattices |
| title_full | On Rough Hyperideals in Hyperlattices |
| title_fullStr | On Rough Hyperideals in Hyperlattices |
| title_full_unstemmed | On Rough Hyperideals in Hyperlattices |
| title_short | On Rough Hyperideals in Hyperlattices |
| title_sort | on rough hyperideals in hyperlattices |
| url | http://dx.doi.org/10.1155/2013/915217 |
| work_keys_str_mv | AT pengfeihe onroughhyperidealsinhyperlattices AT xiaolongxin onroughhyperidealsinhyperlattices AT jianmingzhan onroughhyperidealsinhyperlattices |