Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows
Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK-algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are given. Re...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/819463 |
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| _version_ | 1832558963804078080 |
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| author | Young Bae Jun Min Su Kang Chul Hwan Park |
| author_facet | Young Bae Jun Min Su Kang Chul Hwan Park |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK-algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are given. Relations between fuzzy implicative ideals and falling fuzzy implicative ideals are provided. |
| format | Article |
| id | doaj-art-d50d0eaba4094d1da09614057533540d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d50d0eaba4094d1da09614057533540d2025-02-03T01:31:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/819463819463Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling ShadowsYoung Bae Jun0Min Su Kang1Chul Hwan Park2Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Republic of KoreaDepartment of Mathematics, Hanyang University, Seoul 133-791, Republic of KoreaDepartment of Mathematics, University of Ulsan, Ulsan 680-749, Republic of KoreaBased on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy implicative ideal of a BCK-algebra is introduced. Relations among falling fuzzy ideals, falling fuzzy implicative ideals, falling fuzzy positive implicative ideals, and falling fuzzy commutative ideals are given. Relations between fuzzy implicative ideals and falling fuzzy implicative ideals are provided.http://dx.doi.org/10.1155/2010/819463 |
| spellingShingle | Young Bae Jun Min Su Kang Chul Hwan Park Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows International Journal of Mathematics and Mathematical Sciences |
| title | Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows |
| title_full | Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows |
| title_fullStr | Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows |
| title_full_unstemmed | Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows |
| title_short | Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows |
| title_sort | implicative ideals of bck algebras based on the fuzzy sets and the theory of falling shadows |
| url | http://dx.doi.org/10.1155/2010/819463 |
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