On Q-Neutrosophic Soft Fields
As an extension of neutrosophic soft sets, Q-neutrosophic soft sets were established to deal with twodimensional indeterminate data. Different hybrid models of fuzzy sets were utilized to different algebraic structures, for example groups, rings, fields and lie-algebras. A field is an essential alg...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2020-03-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | http://fs.unm.edu/NSS/OnQ-NeutrosophicSoft6.pdf |
| _version_ | 1830474120159035392 |
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| author | Majdoleen Abu Qamar Abd Ghafur Ahmad Nasruddin Hassan |
| author_facet | Majdoleen Abu Qamar Abd Ghafur Ahmad Nasruddin Hassan |
| author_sort | Majdoleen Abu Qamar |
| collection | DOAJ |
| description | As an extension of neutrosophic soft sets, Q-neutrosophic soft sets were established to deal with twodimensional indeterminate data. Different hybrid models of fuzzy sets were utilized to different algebraic structures,
for example groups, rings, fields and lie-algebras. A field is an essential algebraic structure, which is widely used
in algebra and several domains of mathematics. The motivation of the current work is to extend the thought of
Q-neutrosophic soft sets to fields. In this paper, we define the notion of Q-neutrosophic soft fields. Structural characteristics of it are investigated. Moreover, the concepts of homomorphic image and pre-image of Q-neutrosophic soft
fields are discussed. Finally, the Cartesian product of Q-neutrosophic soft fields is defined and some related properties
are discussed. |
| first_indexed | 2024-12-21T15:14:38Z |
| format | Article |
| id | doaj.art-aef5c144b4d243c184abd6b03964b4bd |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-12-21T15:14:38Z |
| publishDate | 2020-03-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-aef5c144b4d243c184abd6b03964b4bd2022-12-21T18:59:12ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-03-0132809310.5281/zenodo.3723603On Q-Neutrosophic Soft FieldsMajdoleen Abu Qamar0Abd Ghafur Ahmad1Nasruddin Hassan2School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia.School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia.School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia.As an extension of neutrosophic soft sets, Q-neutrosophic soft sets were established to deal with twodimensional indeterminate data. Different hybrid models of fuzzy sets were utilized to different algebraic structures, for example groups, rings, fields and lie-algebras. A field is an essential algebraic structure, which is widely used in algebra and several domains of mathematics. The motivation of the current work is to extend the thought of Q-neutrosophic soft sets to fields. In this paper, we define the notion of Q-neutrosophic soft fields. Structural characteristics of it are investigated. Moreover, the concepts of homomorphic image and pre-image of Q-neutrosophic soft fields are discussed. Finally, the Cartesian product of Q-neutrosophic soft fields is defined and some related properties are discussed.http://fs.unm.edu/NSS/OnQ-NeutrosophicSoft6.pdfneutrosophic soft fieldneutrosophic soft setq-neutrosophic soft fieldq-neutrosophic soft set |
| spellingShingle | Majdoleen Abu Qamar Abd Ghafur Ahmad Nasruddin Hassan On Q-Neutrosophic Soft Fields Neutrosophic Sets and Systems neutrosophic soft field neutrosophic soft set q-neutrosophic soft field q-neutrosophic soft set |
| title | On Q-Neutrosophic Soft Fields |
| title_full | On Q-Neutrosophic Soft Fields |
| title_fullStr | On Q-Neutrosophic Soft Fields |
| title_full_unstemmed | On Q-Neutrosophic Soft Fields |
| title_short | On Q-Neutrosophic Soft Fields |
| title_sort | on q neutrosophic soft fields |
| topic | neutrosophic soft field neutrosophic soft set q-neutrosophic soft field q-neutrosophic soft set |
| url | http://fs.unm.edu/NSS/OnQ-NeutrosophicSoft6.pdf |
| work_keys_str_mv | AT majdoleenabuqamar onqneutrosophicsoftfields AT abdghafurahmad onqneutrosophicsoftfields AT nasruddinhassan onqneutrosophicsoftfields |