Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras
We consider the fuzzification of the notion of implicative hyper BCK-ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK-ideal. We state a relation between a fuzzy hyper BCK-ideal and a fuzzy implicative hyp...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S016117120201195X |
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| _version_ | 1832565355029987328 |
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| author | Young Bae Jun Wook Hwan Shim |
| author_facet | Young Bae Jun Wook Hwan Shim |
| author_sort | Young Bae Jun |
| collection | DOAJ |
| description | We consider the fuzzification of the notion of implicative hyper
BCK-ideals, and then investigate several properties.
Using the concept of level subsets, we give a
characterization of a fuzzy implicative hyper BCK-ideal. We state
a relation between a fuzzy hyper BCK-ideal and a fuzzy implicative
hyper BCK-ideal. We establish a condition for a fuzzy hyper
BCK-ideal to be a fuzzy implicative hyper BCK-ideal. Finally, we
introduce the notion of hyper homomorphisms of hyper
BCK-algebras, and discuss related properties. |
| format | Article |
| id | doaj-art-1d5df9689c6a48bca880e91f7502e3a7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1d5df9689c6a48bca880e91f7502e3a72025-02-03T01:07:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01292637010.1155/S016117120201195XFuzzy implicative hyper BCK-ideals of hyper BCK-algebrasYoung Bae Jun0Wook Hwan Shim1Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, KoreaDepartment of Mathematics Education, Gyeongsang National University, Chinju 660-701, KoreaWe consider the fuzzification of the notion of implicative hyper BCK-ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK-ideal. We state a relation between a fuzzy hyper BCK-ideal and a fuzzy implicative hyper BCK-ideal. We establish a condition for a fuzzy hyper BCK-ideal to be a fuzzy implicative hyper BCK-ideal. Finally, we introduce the notion of hyper homomorphisms of hyper BCK-algebras, and discuss related properties.http://dx.doi.org/10.1155/S016117120201195X |
| spellingShingle | Young Bae Jun Wook Hwan Shim Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras International Journal of Mathematics and Mathematical Sciences |
| title | Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras |
| title_full | Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras |
| title_fullStr | Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras |
| title_full_unstemmed | Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras |
| title_short | Fuzzy implicative hyper BCK-ideals of hyper BCK-algebras |
| title_sort | fuzzy implicative hyper bck ideals of hyper bck algebras |
| url | http://dx.doi.org/10.1155/S016117120201195X |
| work_keys_str_mv | AT youngbaejun fuzzyimplicativehyperbckidealsofhyperbckalgebras AT wookhwanshim fuzzyimplicativehyperbckidealsofhyperbckalgebras |