Neutrosophic Fuzzy Soft BCK-submodules
The target of this study is to apply the notion of neutrosophic soft sets to the theory of BCK-modules by introducing the notion of neutrosophic fuzzy soft BCK-submodules and deriving their basic properties. Also,(𝛼, 𝛽, 𝛾)-soft top of neutrosophic fuzzy soft sets in BCK-modules is presented. The...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2020-05-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/NeutrosophicFuzzySoft.pdf |
| _version_ | 1811244100207247360 |
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| author | R. S. Alghamdi N. O. Alshehri |
| author_facet | R. S. Alghamdi N. O. Alshehri |
| author_sort | R. S. Alghamdi |
| collection | DOAJ |
| description | The target of this study is to apply the notion of neutrosophic soft sets to the theory of
BCK-modules by introducing the notion of neutrosophic fuzzy soft BCK-submodules and deriving
their basic properties. Also,(𝛼, 𝛽, 𝛾)-soft top of neutrosophic fuzzy soft sets in BCK-modules is
presented. The concept of Cartesian product of neutrosophic fuzzy soft BCK-submodules is defined
and some results are investigated. Finally, an application of neutrosophic fuzzy soft sets in decision
making is investigated and an example demonstrating the successfully application of this method
is provided |
| first_indexed | 2024-04-12T14:19:57Z |
| format | Article |
| id | doaj.art-b53c7180712d40c6b117c5924875a0a8 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-04-12T14:19:57Z |
| publishDate | 2020-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-b53c7180712d40c6b117c5924875a0a82022-12-22T03:29:37ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-05-013314515610.5281/zenodo.3782874Neutrosophic Fuzzy Soft BCK-submodulesR. S. Alghamdi 0N. O. Alshehri 1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, JeddahDepartment of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, JeddahThe target of this study is to apply the notion of neutrosophic soft sets to the theory of BCK-modules by introducing the notion of neutrosophic fuzzy soft BCK-submodules and deriving their basic properties. Also,(𝛼, 𝛽, 𝛾)-soft top of neutrosophic fuzzy soft sets in BCK-modules is presented. The concept of Cartesian product of neutrosophic fuzzy soft BCK-submodules is defined and some results are investigated. Finally, an application of neutrosophic fuzzy soft sets in decision making is investigated and an example demonstrating the successfully application of this method is providedhttp://fs.unm.edu/NSS/NeutrosophicFuzzySoft.pdfbck-algebras; bck-modules; soft setsfuzzy soft setsneutrosophic sets; neutrosophic soft sets; neutrosophic fuzzy soft bck-submodules. |
| spellingShingle | R. S. Alghamdi N. O. Alshehri Neutrosophic Fuzzy Soft BCK-submodules Neutrosophic Sets and Systems bck-algebras; bck-modules; soft sets fuzzy soft sets neutrosophic sets; neutrosophic soft sets; neutrosophic fuzzy soft bck-submodules. |
| title | Neutrosophic Fuzzy Soft BCK-submodules |
| title_full | Neutrosophic Fuzzy Soft BCK-submodules |
| title_fullStr | Neutrosophic Fuzzy Soft BCK-submodules |
| title_full_unstemmed | Neutrosophic Fuzzy Soft BCK-submodules |
| title_short | Neutrosophic Fuzzy Soft BCK-submodules |
| title_sort | neutrosophic fuzzy soft bck submodules |
| topic | bck-algebras; bck-modules; soft sets fuzzy soft sets neutrosophic sets; neutrosophic soft sets; neutrosophic fuzzy soft bck-submodules. |
| url | http://fs.unm.edu/NSS/NeutrosophicFuzzySoft.pdf |
| work_keys_str_mv | AT rsalghamdi neutrosophicfuzzysoftbcksubmodules AT noalshehri neutrosophicfuzzysoftbcksubmodules |