Systems of Neutrosophic Linear Equations

In the present paper, for first time, a System of Neutrosophic Linear Equations (SNLE) is investigated based on the embedding approach. To this end, the (a,b,g)-cut is used for transformation of SNLE into a crisp linear system. Furthermore, the existence of a neutrosophic solution to n x n linear system is proved in details and a computational procedure for solving the SNLE is designed. Finally, numerical experiments are presented to show the reliability and efficiency of the method.

Related Organizations

Ayandegan Institute of Higher Education,
Iran (Islamic Republic of)

Keywords

neutrosophic set; neutrosophic number; neutrosophic linear equation; neutrosophic linear system; embedding method., Electronic computers. Computer science, QA1-939, QA75.5-76.95, Mathematics

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