Generalization of Fuzzy Soft BCK/BCI-Algebras
In this paper, the notions of ∈,∈∨q-fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft sub-BCK/BCI-algebras are introduced, and related properties are investigated. Furthermore, relations between fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft BCK/BCI-algebras are displayed. Moreover, conditions for...
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| Main Authors: | , , , , , |
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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/10.1155/2021/9965074 |
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| author | N. Alam G. Muhiuddin S. Obeidat H. N. Zaidi A. Altaleb J. M. Aqib |
| author_facet | N. Alam G. Muhiuddin S. Obeidat H. N. Zaidi A. Altaleb J. M. Aqib |
| author_sort | N. Alam |
| collection | DOAJ |
| description | In this paper, the notions of ∈,∈∨q-fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft sub-BCK/BCI-algebras are introduced, and related properties are investigated. Furthermore, relations between fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft BCK/BCI-algebras are displayed. Moreover, conditions for an ∈,∈∨q-fuzzy soft BCK/BCI-algebra to be a fuzzy soft BCK/BCI-algebra are provided. Also, the union, the extended intersection, and the “AND”-operation of two ∈,∈∨q-fuzzy soft (sub-)BCK/BCI-algebras are discussed, and a characterization of an ∈,∈∨q-fuzzy soft BCK/BCI-algebra is established. |
| format | Article |
| id | doaj-art-ba85bb583fc54a20a0ee140dbc512e1a |
| 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-ba85bb583fc54a20a0ee140dbc512e1a2025-02-03T07:23:55ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99650749965074Generalization of Fuzzy Soft BCK/BCI-AlgebrasN. Alam0G. Muhiuddin1S. Obeidat2H. N. Zaidi3A. Altaleb4J. M. Aqib5Department of Basic Sciences, Deanship of Preparatory Year, University of Háil, Háil 2440, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Basic Sciences, Deanship of Preparatory Year, University of Háil, Háil 2440, Saudi ArabiaDepartment of Basic Sciences, Deanship of Preparatory Year, University of Háil, Háil 2440, Saudi ArabiaDepartment of Basic Sciences, Deanship of Preparatory Year, University of Háil, Háil 2440, Saudi ArabiaDepartment of Software Engineering, College of Computer Science, University of Háil, Háil 2440, Saudi ArabiaIn this paper, the notions of ∈,∈∨q-fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft sub-BCK/BCI-algebras are introduced, and related properties are investigated. Furthermore, relations between fuzzy soft BCK/BCI-algebras and ∈,∈∨q-fuzzy soft BCK/BCI-algebras are displayed. Moreover, conditions for an ∈,∈∨q-fuzzy soft BCK/BCI-algebra to be a fuzzy soft BCK/BCI-algebra are provided. Also, the union, the extended intersection, and the “AND”-operation of two ∈,∈∨q-fuzzy soft (sub-)BCK/BCI-algebras are discussed, and a characterization of an ∈,∈∨q-fuzzy soft BCK/BCI-algebra is established.http://dx.doi.org/10.1155/2021/9965074 |
| spellingShingle | N. Alam G. Muhiuddin S. Obeidat H. N. Zaidi A. Altaleb J. M. Aqib Generalization of Fuzzy Soft BCK/BCI-Algebras Journal of Mathematics |
| title | Generalization of Fuzzy Soft BCK/BCI-Algebras |
| title_full | Generalization of Fuzzy Soft BCK/BCI-Algebras |
| title_fullStr | Generalization of Fuzzy Soft BCK/BCI-Algebras |
| title_full_unstemmed | Generalization of Fuzzy Soft BCK/BCI-Algebras |
| title_short | Generalization of Fuzzy Soft BCK/BCI-Algebras |
| title_sort | generalization of fuzzy soft bck bci algebras |
| url | http://dx.doi.org/10.1155/2021/9965074 |
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