Bipolar Fuzzy Implicative Ideals of BCK-Algebras
The notion of bipolar fuzzy implicative ideals of a BCK-algebra is introduced, and several properties are investigated. The relation between a bipolar fuzzy ideal and a bipolar fuzzy implicative ideal is studied. Characterizations of a bipolar fuzzy implicative ideal are given. Conditions for a bipo...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6623907 |
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| _version_ | 1832563187465060352 |
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| author | G. Muhiuddin D. Al-Kadi |
| author_facet | G. Muhiuddin D. Al-Kadi |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | The notion of bipolar fuzzy implicative ideals of a BCK-algebra is introduced, and several properties are investigated. The relation between a bipolar fuzzy ideal and a bipolar fuzzy implicative ideal is studied. Characterizations of a bipolar fuzzy implicative ideal are given. Conditions for a bipolar fuzzy set to be a bipolar fuzzy implicative ideal are provided. Extension property for a bipolar fuzzy implicative ideal is stated. |
| format | Article |
| id | doaj-art-e8bf26897b3c4ce7af3f78d089e590ea |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e8bf26897b3c4ce7af3f78d089e590ea2025-02-03T01:20:48ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66239076623907Bipolar Fuzzy Implicative Ideals of BCK-AlgebrasG. Muhiuddin0D. Al-Kadi1Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics and Statistic, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaThe notion of bipolar fuzzy implicative ideals of a BCK-algebra is introduced, and several properties are investigated. The relation between a bipolar fuzzy ideal and a bipolar fuzzy implicative ideal is studied. Characterizations of a bipolar fuzzy implicative ideal are given. Conditions for a bipolar fuzzy set to be a bipolar fuzzy implicative ideal are provided. Extension property for a bipolar fuzzy implicative ideal is stated.http://dx.doi.org/10.1155/2021/6623907 |
| spellingShingle | G. Muhiuddin D. Al-Kadi Bipolar Fuzzy Implicative Ideals of BCK-Algebras Journal of Mathematics |
| title | Bipolar Fuzzy Implicative Ideals of BCK-Algebras |
| title_full | Bipolar Fuzzy Implicative Ideals of BCK-Algebras |
| title_fullStr | Bipolar Fuzzy Implicative Ideals of BCK-Algebras |
| title_full_unstemmed | Bipolar Fuzzy Implicative Ideals of BCK-Algebras |
| title_short | Bipolar Fuzzy Implicative Ideals of BCK-Algebras |
| title_sort | bipolar fuzzy implicative ideals of bck algebras |
| url | http://dx.doi.org/10.1155/2021/6623907 |
| work_keys_str_mv | AT gmuhiuddin bipolarfuzzyimplicativeidealsofbckalgebras AT dalkadi bipolarfuzzyimplicativeidealsofbckalgebras |