International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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2690-6805ISSN (Online) 2692-6148ISSN (Print)

Volume 23 , Issue 2 , PP: 16-25, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

A Study of Systems of Neutrosophic Linear Equations

Maissam Jdid 1 * , Florentin Smarandache 2

  • 1 Faculty of Science, Damascus University, Damascus, Syria - (maissam.jdid66@damascusuniversity.edu.sy)
  • 2 University of New Mexico، Mathematics, Physics and Natural Sciences Division 705 Gurley Ave., Gallup, NM 87301, USA - (smarand@unm.edu)
  • Doi: https://doi.org/10.54216/IJNS.230202

    Received: June 12, 2023 Revised: October 18, 2023 Accepted: November 14, 2023
    Abstract

    Operations research methods are among the modern scientific methods that have occupied a prominent place among the mathematical methods used in planning and managing various economic and military activities. They have been able to help specialists in developing ideal plans in terms of costs, production, storage, or investment of human energies. One of its most important methods is the method Linear programming, which was built based on the sets of linear equations that represent the constraints for any linear model. Based on the methods for solving the systems of linear equations, researchers were able to prepare algorithms for solving linear models, such as the direct Simplex algorithm and its modifications. After the emergence of neutrosophic science, we found that research methods had to be reformulated. Operations using the concepts of this science, and as a basis and foundation for neutrosophic linear programming. In this research, we will reformulate the systems of linear equations and some methods for solving them using the concepts of neutrosophic to be a basis for any study presented in the field of neutrosophic linear programming.

    Keywords :

    Operations research , linear programming , systems of linear equations , neutrosophic science , systems of neutrosophic linear equations , methods for solving neutrosophic linear equations.

    References

    [1]    Florentin Smarandache, Maissam Jdid, On Overview of Neutrosophic and Plithogenic Theories and Applications, Applied Mathematics and Data Analysis, Vo .2, No .1, 2023

    [2]    Mountajab Alhasan, Malath F Alaswad.  A Study of the Movement of a Neutrosophic Material Point in the Neutrosophic Plane by Using a Neutrosophic AH-Isometry, Vol 2, No 1, 2023 

    [3]    Wang, J., & Zhang, H. (2017). Generalized Neutrosophic Sets and Their Application in Multi-criteria Decision-making. Springer.

    [4]    Ye, J. (2019). Neutrosophic logic and its applications in information fusion. Information Fusion, 48, 32-40.

    [5]    Maissam Jdid, Math 1, Faculty of Informatics Engineering, Al-Sham Private University Publications,2020. (Arabic version)

    [6]    Maissam Jdid, Operations Research, Faculty of Informatics Engineering, Al-Sham Private University Publications,2021. (Arabic version)

    [7]    Alali. Ibrahim Muhammad, Operations Research. Tishreen University Publications, 2004. (Arabic version)

    [8]    Bugaha J.S, Mualla.W, and others -Operations Research Translator into Arabic, The Arab Center for Arabization, Translation, Authoring and Publishing, Damascus,1998. (Arabic version).

     

    Cite This Article As :
    Jdid, Maissam. , Smarandache, Florentin. A Study of Systems of Neutrosophic Linear Equations. Journal of International Journal of Neutrosophic Science, vol. 23, no. 2, 2024, pp. 16-25. DOI: https://doi.org/10.54216/IJNS.230202
    Jdid, M. Smarandache, F. (2024). A Study of Systems of Neutrosophic Linear Equations. Journal of International Journal of Neutrosophic Science, 23( 2), 16-25. DOI: https://doi.org/10.54216/IJNS.230202
    Jdid, Maissam. Smarandache, Florentin. A Study of Systems of Neutrosophic Linear Equations. Journal of International Journal of Neutrosophic Science 23, no. 2 (2024): 16-25. DOI: https://doi.org/10.54216/IJNS.230202
    Jdid, M. , Smarandache, F. (2024) . A Study of Systems of Neutrosophic Linear Equations. Journal of International Journal of Neutrosophic Science , 23( 2) , 16-25 . DOI: https://doi.org/10.54216/IJNS.230202
    Jdid M. , Smarandache F. [2024]. A Study of Systems of Neutrosophic Linear Equations. Journal of International Journal of Neutrosophic Science. 23( 2): 16-25. DOI: https://doi.org/10.54216/IJNS.230202
    Jdid, M. Smarandache, F. "A Study of Systems of Neutrosophic Linear Equations," Journal of International Journal of Neutrosophic Science, vol. 23, no. 2, pp. 16-25, 2024. DOI: https://doi.org/10.54216/IJNS.230202