Classes of Int-Soft Filters in Residuated Lattices
The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be an int-soft G-filter, a regular int-soft filt...
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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/10.1155/2014/595160 |
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| _version_ | 1832551902211997696 |
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| author | Young Bae Jun Sun Shin Ahn Kyoung Ja Lee |
| author_facet | Young Bae Jun Sun Shin Ahn Kyoung Ja Lee |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | The notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be an int-soft G-filter, a regular int-soft filter, or an MV-int-soft filter are provided. The extension property for an int-soft G-filter is discussed. Finally, it is shown that the notion of an MV-int-soft filter coincides with the notion of a regular int-soft filter in BL-algebras. |
| format | Article |
| id | doaj-art-c2bf759fc9d04379b273323d7e3ba674 |
| 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-c2bf759fc9d04379b273323d7e3ba6742025-02-03T06:00:08ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/595160595160Classes of Int-Soft Filters in Residuated LatticesYoung Bae Jun0Sun Shin Ahn1Kyoung Ja Lee2Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Republic of KoreaDepartment of Mathematics Education, Dongguk University, Seoul 100-715, Republic of KoreaDepartment of Mathematics Education, Hannam University, Daejeon 306-791, Republic of KoreaThe notions of int-soft filters, int-soft G-filters, regular int-soft filters, and MV-int-soft filters in residuated lattices are introduced, and their relations, properties, and characterizations are investigated. Conditions for an int-soft filter to be an int-soft G-filter, a regular int-soft filter, or an MV-int-soft filter are provided. The extension property for an int-soft G-filter is discussed. Finally, it is shown that the notion of an MV-int-soft filter coincides with the notion of a regular int-soft filter in BL-algebras.http://dx.doi.org/10.1155/2014/595160 |
| spellingShingle | Young Bae Jun Sun Shin Ahn Kyoung Ja Lee Classes of Int-Soft Filters in Residuated Lattices The Scientific World Journal |
| title | Classes of Int-Soft Filters in Residuated Lattices |
| title_full | Classes of Int-Soft Filters in Residuated Lattices |
| title_fullStr | Classes of Int-Soft Filters in Residuated Lattices |
| title_full_unstemmed | Classes of Int-Soft Filters in Residuated Lattices |
| title_short | Classes of Int-Soft Filters in Residuated Lattices |
| title_sort | classes of int soft filters in residuated lattices |
| url | http://dx.doi.org/10.1155/2014/595160 |
| work_keys_str_mv | AT youngbaejun classesofintsoftfiltersinresiduatedlattices AT sunshinahn classesofintsoftfiltersinresiduatedlattices AT kyoungjalee classesofintsoftfiltersinresiduatedlattices |