Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms
Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras. At present, there exist no results on doubt neutrosophic ideals of BCK/BCI-alg...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2020-05-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/StructuresOnDoubtNeutrosophic.pdf |
| _version_ | 1818241229020725248 |
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| author | Anas Al-Masarwah Abd Ghafur Ahmad |
| author_facet | Anas Al-Masarwah Abd Ghafur Ahmad |
| author_sort | Anas Al-Masarwah |
| collection | DOAJ |
| description | Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined
data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and
BCK/BCI-algebras. At present, there exist no results on doubt neutrosophic ideals of BCK/BCI-algebras
using t-conorm and t-norm. First, the notions of (S, T)- normed doubt neutrosophic subalgebras and ideals of
BCK/BCI-algebras are introduced and the characteristic properties are described. Then, images and preimages
of (S, T)- normed doubt neutrosophic ideals under homomorphism are considered. Moreover, the direct product
and (S, T)- product of (S, T)- normed doubt neutrosophic ideals of BCK/BCI-algebras are also discussed. |
| first_indexed | 2024-12-12T13:26:01Z |
| format | Article |
| id | doaj.art-764caf014b3646f9866c49eb2499c3ec |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-12T13:26:01Z |
| publishDate | 2020-05-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-764caf014b3646f9866c49eb2499c3ec2022-12-22T00:23:11ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-05-013327528910.5281/zenodo.3783032Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-NormsAnas Al-Masarwah0Abd Ghafur Ahmad1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, MalaysiaSmarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras. At present, there exist no results on doubt neutrosophic ideals of BCK/BCI-algebras using t-conorm and t-norm. First, the notions of (S, T)- normed doubt neutrosophic subalgebras and ideals of BCK/BCI-algebras are introduced and the characteristic properties are described. Then, images and preimages of (S, T)- normed doubt neutrosophic ideals under homomorphism are considered. Moreover, the direct product and (S, T)- product of (S, T)- normed doubt neutrosophic ideals of BCK/BCI-algebras are also discussed.http://fs.unm.edu/NSS/StructuresOnDoubtNeutrosophic.pdfbck/bci-algebra; doubt neutrosophic subalgebra (ideal); (st)-normed doubt neutrosophic subalgebra (ideal). |
| spellingShingle | Anas Al-Masarwah Abd Ghafur Ahmad Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms Neutrosophic Sets and Systems bck/bci-algebra; doubt neutrosophic subalgebra (ideal); (s t)-normed doubt neutrosophic subalgebra (ideal). |
| title | Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms |
| title_full | Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms |
| title_fullStr | Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms |
| title_full_unstemmed | Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms |
| title_short | Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms |
| title_sort | structures on doubt neutrosophic ideals of bck bci algebras under s t norms |
| topic | bck/bci-algebra; doubt neutrosophic subalgebra (ideal); (s t)-normed doubt neutrosophic subalgebra (ideal). |
| url | http://fs.unm.edu/NSS/StructuresOnDoubtNeutrosophic.pdf |
| work_keys_str_mv | AT anasalmasarwah structuresondoubtneutrosophicidealsofbckbcialgebrasunderstnorms AT abdghafurahmad structuresondoubtneutrosophicidealsofbckbcialgebrasunderstnorms |