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.

中文翻译：

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基于中智结构元的线性方程组代数系统的高效技术

中智逻辑经常应用于工程技术、科学管理和金融事务等领域。此外，中智线性系统可以用来说明各种实际问题。然而，由于中智算子的复杂性，求解线性中智系统具有挑战性。这项工作提出了一种基于中智结构元（NSE）求解中智线性方程组的新的直接方法。这里未知的右侧向量被视为三角形中智数。基于 NSE，还提供了该方程的解及其次数的解析表达式。最后，提供了该方法的几个示例。