On n-fold fuzzy positive implicative ideals of BCK-algebras
We consider the fuzzification of the notion of an n-fold positive implicative ideal. We give characterizations of an n-fold fuzzy positive implicative ideal. We establish the extension property for n-fold fuzzy positive implicative ideals, and state a characterization of PIn-Noetherian BCK-algebras....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006135 |
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| _version_ | 1832550721459847168 |
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| author | Young Bae Jun Kyung Ho Kim |
| author_facet | Young Bae Jun Kyung Ho Kim |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | We consider the fuzzification of the notion of an n-fold positive implicative ideal. We give characterizations of an n-fold fuzzy positive implicative ideal. We establish the extension property for n-fold fuzzy positive implicative ideals, and state a characterization of PIn-Noetherian BCK-algebras. Finally we study the normalization of n-fold fuzzy positive implicative ideals. |
| format | Article |
| id | doaj-art-b8655190ee2d4c7fb6daae4f29492da3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b8655190ee2d4c7fb6daae4f29492da32025-02-03T06:06:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126952553710.1155/S0161171201006135On n-fold fuzzy positive implicative ideals of BCK-algebrasYoung Bae Jun0Kyung Ho Kim1Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, KoreaDepartment of Mathematics, Chungju National University, Chungju 380-702, KoreaWe consider the fuzzification of the notion of an n-fold positive implicative ideal. We give characterizations of an n-fold fuzzy positive implicative ideal. We establish the extension property for n-fold fuzzy positive implicative ideals, and state a characterization of PIn-Noetherian BCK-algebras. Finally we study the normalization of n-fold fuzzy positive implicative ideals.http://dx.doi.org/10.1155/S0161171201006135 |
| spellingShingle | Young Bae Jun Kyung Ho Kim On n-fold fuzzy positive implicative ideals of BCK-algebras International Journal of Mathematics and Mathematical Sciences |
| title | On n-fold fuzzy positive implicative ideals of BCK-algebras |
| title_full | On n-fold fuzzy positive implicative ideals of BCK-algebras |
| title_fullStr | On n-fold fuzzy positive implicative ideals of BCK-algebras |
| title_full_unstemmed | On n-fold fuzzy positive implicative ideals of BCK-algebras |
| title_short | On n-fold fuzzy positive implicative ideals of BCK-algebras |
| title_sort | on n fold fuzzy positive implicative ideals of bck algebras |
| url | http://dx.doi.org/10.1155/S0161171201006135 |
| work_keys_str_mv | AT youngbaejun onnfoldfuzzypositiveimplicativeidealsofbckalgebras AT kyunghokim onnfoldfuzzypositiveimplicativeidealsofbckalgebras |