New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers
In this study, we introduced non-Newtonian neutrosophic numbers and non-Newtonian neutrosophic complex numbers by combining two recently popular approaches and examined some of their properties. Furthermore, we presented the non-Newtonian neutrosophic triangle inequality and some properties of the n...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-03-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/14/3/212 |
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| author | Abdullah Dertli Ceremnur Tetik |
| author_facet | Abdullah Dertli Ceremnur Tetik |
| author_sort | Abdullah Dertli |
| collection | DOAJ |
| description | In this study, we introduced non-Newtonian neutrosophic numbers and non-Newtonian neutrosophic complex numbers by combining two recently popular approaches and examined some of their properties. Furthermore, we presented the non-Newtonian neutrosophic triangle inequality and some properties of the non-Newtonian neutrosophic norm, which can be frequently used in analysis and geometry. Thus, compared to existing studies, we provided a broader perspective for fields such as artificial intelligence, quantum mechanics, medicine, analysis, and geometry. |
| format | Article |
| id | doaj-art-14d3dfb0dd594b5a9ea8abd9d6c16c06 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-14d3dfb0dd594b5a9ea8abd9d6c16c062025-08-20T02:11:04ZengMDPI AGAxioms2075-16802025-03-0114321210.3390/axioms14030212New Approach to Neutrosophic Numbers and Neutrosophic Complex NumbersAbdullah Dertli0Ceremnur Tetik1Department of Mathematics, Ondokuz Mayıs University, Samsun 55270, TürkiyeDepartment of Mathematics, Ondokuz Mayıs University, Samsun 55270, TürkiyeIn this study, we introduced non-Newtonian neutrosophic numbers and non-Newtonian neutrosophic complex numbers by combining two recently popular approaches and examined some of their properties. Furthermore, we presented the non-Newtonian neutrosophic triangle inequality and some properties of the non-Newtonian neutrosophic norm, which can be frequently used in analysis and geometry. Thus, compared to existing studies, we provided a broader perspective for fields such as artificial intelligence, quantum mechanics, medicine, analysis, and geometry.https://www.mdpi.com/2075-1680/14/3/212non-Newtonian neutrosophic numbersnon-Newtonian neutrosophic complex numbersnon-Newtonian neutrosophic norm |
| spellingShingle | Abdullah Dertli Ceremnur Tetik New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers Axioms non-Newtonian neutrosophic numbers non-Newtonian neutrosophic complex numbers non-Newtonian neutrosophic norm |
| title | New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers |
| title_full | New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers |
| title_fullStr | New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers |
| title_full_unstemmed | New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers |
| title_short | New Approach to Neutrosophic Numbers and Neutrosophic Complex Numbers |
| title_sort | new approach to neutrosophic numbers and neutrosophic complex numbers |
| topic | non-Newtonian neutrosophic numbers non-Newtonian neutrosophic complex numbers non-Newtonian neutrosophic norm |
| url | https://www.mdpi.com/2075-1680/14/3/212 |
| work_keys_str_mv | AT abdullahdertli newapproachtoneutrosophicnumbersandneutrosophiccomplexnumbers AT ceremnurtetik newapproachtoneutrosophicnumbersandneutrosophiccomplexnumbers |