Araştırma Makalesi
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On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations

Yıl 2023, Cilt: 18 Sayı: 3, 203 - 212, 23.11.2023
https://doi.org/10.29233/sdufeffd.1262031

Öz

We started this work with a theorem that shows in which case the abbreviation rule for neutrosophic real numbers is true. We then detail in which cases the division of two neutrosophic real numbers yields a new neutrosophic number. Then, the solution cases of a neutrosophic linear equation with one unknown were examined. After calculating the determinant of a square matrix and giving the necessary and sufficient conditions for a square matrix to be invertible, the solution conditions of the systems of equations with the number of unknowns equal to the number of equations were examined.

Kaynakça

  • F. Smarandache, Neutrosophy: Neutrosophic Probability, Set and Logic, Rehoboth: USA, American Research Press, 72 pages, 1998.
  • M. Abobala, “Partial foundation of neutrosophic number theory”, Neutrosophic Sets and Systems, 39, 120-132, 2021.
  • Y. Çeven, Ş. S. Tekin, “Some properties of neutrosophic ıntegers”, Kırklareli University Journal of Engineering and Science, 6(1), 50-59, 2020.
  • M. Abobala, “On some neutrosophic algebraic equations”, Journal of New Theory, 33, 26-32,2020.
  • S. A. Edalatpanah, “Systems of neutrosophic linear equations”, Neutrosophic Sets and Systems, 33, 92-104, 2020.
  • H. Sankari, M. Abobala, “Neutrosophic linear diophantine equations with two variables”, Neutrosophic Sets and Systems, 38, 399-408, 2020.
  • A. N. Yurttakal, Y. Çeven, “Some elementary properties of neutrosophic ıntegers”, Neutrosophic Sets and Systems, 41, 106-112, 2021.
  • M. Abobala, A. Hatip, N. Olgun, S. Broumi, A. A. Salama, H. E. Khaled, “The algebraic creativity in the neutrosophic square matrices”, Neutrosophic Sets and Systems, 40, 1-11,2021.
  • Y. A. Alhasan, “Types of system of the neutrosophic linear equations and Cramer’s rule”, Neutrosophic Sets and Systems, 45, 402-413, 2021.
  • M. Abobala, M. Bal, A. Hatip, “A review on recent advantages in algebraic theory of neutrosophic matrices”, International Journal of Neutrosophic Science, 17(1), 68-86, 2021.
Yıl 2023, Cilt: 18 Sayı: 3, 203 - 212, 23.11.2023
https://doi.org/10.29233/sdufeffd.1262031

Öz

Kaynakça

  • F. Smarandache, Neutrosophy: Neutrosophic Probability, Set and Logic, Rehoboth: USA, American Research Press, 72 pages, 1998.
  • M. Abobala, “Partial foundation of neutrosophic number theory”, Neutrosophic Sets and Systems, 39, 120-132, 2021.
  • Y. Çeven, Ş. S. Tekin, “Some properties of neutrosophic ıntegers”, Kırklareli University Journal of Engineering and Science, 6(1), 50-59, 2020.
  • M. Abobala, “On some neutrosophic algebraic equations”, Journal of New Theory, 33, 26-32,2020.
  • S. A. Edalatpanah, “Systems of neutrosophic linear equations”, Neutrosophic Sets and Systems, 33, 92-104, 2020.
  • H. Sankari, M. Abobala, “Neutrosophic linear diophantine equations with two variables”, Neutrosophic Sets and Systems, 38, 399-408, 2020.
  • A. N. Yurttakal, Y. Çeven, “Some elementary properties of neutrosophic ıntegers”, Neutrosophic Sets and Systems, 41, 106-112, 2021.
  • M. Abobala, A. Hatip, N. Olgun, S. Broumi, A. A. Salama, H. E. Khaled, “The algebraic creativity in the neutrosophic square matrices”, Neutrosophic Sets and Systems, 40, 1-11,2021.
  • Y. A. Alhasan, “Types of system of the neutrosophic linear equations and Cramer’s rule”, Neutrosophic Sets and Systems, 45, 402-413, 2021.
  • M. Abobala, M. Bal, A. Hatip, “A review on recent advantages in algebraic theory of neutrosophic matrices”, International Journal of Neutrosophic Science, 17(1), 68-86, 2021.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Yilmaz Çeven 0000-0002-2968-1546

Ali İhsan Sekmen Bu kişi benim 0000-0002-5342-0418

Yayımlanma Tarihi 23 Kasım 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 18 Sayı: 3

Kaynak Göster

IEEE Y. Çeven ve A. İ. Sekmen, “On Neutrosophic Square Matrices and Solutions of Systems of Linear Equations”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, c. 18, sy. 3, ss. 203–212, 2023, doi: 10.29233/sdufeffd.1262031.