Intuitionistic fuzzy ideals of BCK-algebras
We consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK-algebra and investigate some related properties.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200004610 |
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| _version_ | 1832548129853931520 |
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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 intuitionistic fuzzification of the concept of
subalgebras and ideals in BCK-algebras, and investigate some of
their properties. We introduce the notion of equivalence
relations on the family of all intuitionistic fuzzy ideals of a
BCK-algebra and investigate some related properties. |
| format | Article |
| id | doaj-art-82ba31f9c9dd49b884e111767bee2392 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-82ba31f9c9dd49b884e111767bee23922025-02-03T06:42:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241283984910.1155/S0161171200004610Intuitionistic fuzzy ideals of BCK-algebrasYoung Bae Jun0Kyung Ho Kim1Department of Mathematics Education, Gyeongsang National University, Chinju 660-701, KoreaDepartment of Mathematics, Chungju National University, Chungju 380-702, KoreaWe consider the intuitionistic fuzzification of the concept of subalgebras and ideals in BCK-algebras, and investigate some of their properties. We introduce the notion of equivalence relations on the family of all intuitionistic fuzzy ideals of a BCK-algebra and investigate some related properties.http://dx.doi.org/10.1155/S0161171200004610(Intuitionistic) fuzzy subalgebra(intuitionistic) fuzzy idealupper (respectivelylower) t-level cuthomomorphism. |
| spellingShingle | Young Bae Jun Kyung Ho Kim Intuitionistic fuzzy ideals of BCK-algebras International Journal of Mathematics and Mathematical Sciences (Intuitionistic) fuzzy subalgebra (intuitionistic) fuzzy ideal upper (respectively lower) t-level cut homomorphism. |
| title | Intuitionistic fuzzy ideals of BCK-algebras |
| title_full | Intuitionistic fuzzy ideals of BCK-algebras |
| title_fullStr | Intuitionistic fuzzy ideals of BCK-algebras |
| title_full_unstemmed | Intuitionistic fuzzy ideals of BCK-algebras |
| title_short | Intuitionistic fuzzy ideals of BCK-algebras |
| title_sort | intuitionistic fuzzy ideals of bck algebras |
| topic | (Intuitionistic) fuzzy subalgebra (intuitionistic) fuzzy ideal upper (respectively lower) t-level cut homomorphism. |
| url | http://dx.doi.org/10.1155/S0161171200004610 |
| work_keys_str_mv | AT youngbaejun intuitionisticfuzzyidealsofbckalgebras AT kyunghokim intuitionisticfuzzyidealsofbckalgebras |