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An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element

Author

Listed:
  • Wenbo Xu
  • Qunli Xia
  • Hitesh Mohapatra
  • Sangay Chedup
  • Zine El Abiddine Fellah

Abstract

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.

Suggested Citation

  • Wenbo Xu & Qunli Xia & Hitesh Mohapatra & Sangay Chedup & Zine El Abiddine Fellah, 2023. "An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element," Advances in Mathematical Physics, Hindawi, vol. 2023, pages 1-6, August.
    • Handle: RePEc:hin:jnlamp:4469908
    DOI: 10.1155/2023/4469908
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