An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element
Neutrosophic logic is frequently applied to the engineering technology, scientific administration, and financial matters, among other fields. In addition, neutrosophic linear systems can be used to illustrate various practical problems. Due to the complexity of neutrosophic operators, however, solvi...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2023/4469908 |
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| _version_ | 1849413172884144128 |
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| author | Wenbo Xu Qunli Xia Hitesh Mohapatra Sangay Chedup |
| author_facet | Wenbo Xu Qunli Xia Hitesh Mohapatra Sangay Chedup |
| author_sort | Wenbo Xu |
| collection | DOAJ |
| description | Neutrosophic logic is frequently applied to the engineering technology, scientific administration, and financial matters, among other fields. In addition, neutrosophic linear systems can be used to illustrate various practical problems. Due to the complexity of neutrosophic operators, however, solving linear neutrosophic systems is challenging. This work proposes a new straightforward method for solving the neutrosophic system of linear equations based on the neutrosophic structured element (NSE). Here unknown and right-hand side vectors are considered as triangular neutrosophic numbers. Based on the NSE, analytical expressions of the solution to this equation and its degrees are also provided. Finally, several examples of the methodology are provided. |
| format | Article |
| id | doaj-art-5cd04ca9ddbf40daae7890afb3f70e6a |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-5cd04ca9ddbf40daae7890afb3f70e6a2025-08-20T03:34:13ZengWileyAdvances in Mathematical Physics1687-91392023-01-01202310.1155/2023/4469908An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured ElementWenbo Xu0Qunli Xia1Hitesh Mohapatra2Sangay Chedup3School of AstronauticsSchool of AstronauticsSchool of Computer EngineeringJigme Namgyel Engineering CollegeNeutrosophic logic is frequently applied to the engineering technology, scientific administration, and financial matters, among other fields. In addition, neutrosophic linear systems can be used to illustrate various practical problems. Due to the complexity of neutrosophic operators, however, solving linear neutrosophic systems is challenging. This work proposes a new straightforward method for solving the neutrosophic system of linear equations based on the neutrosophic structured element (NSE). Here unknown and right-hand side vectors are considered as triangular neutrosophic numbers. Based on the NSE, analytical expressions of the solution to this equation and its degrees are also provided. Finally, several examples of the methodology are provided.http://dx.doi.org/10.1155/2023/4469908 |
| spellingShingle | Wenbo Xu Qunli Xia Hitesh Mohapatra Sangay Chedup An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element Advances in Mathematical Physics |
| title | An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element |
| title_full | An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element |
| title_fullStr | An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element |
| title_full_unstemmed | An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element |
| title_short | An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element |
| title_sort | efficient technique for algebraic system of linear equations based on neutrosophic structured element |
| url | http://dx.doi.org/10.1155/2023/4469908 |
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