International Journal of Neutrosophic Science

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https://doi.org/10.54216/IJNS

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Volume 12 , Issue 2 , PP: 96-104, 2020 | Cite this article as | XML | Html | PDF | Full Length Article

Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces

Soheyb Milles 1 , Abdelkrim Latrech 2 , Omar Barkat 3

  • 1 Laboratory of Pure and Applied Mathematics, Department of Mathematics, University of Msila, Algeria - (soheyb.milles@univ-msila.dz)
  • 2 Department of Technology, Faculty of Technology, University of Skikda, Algeria - (a.latreche@univ-skikda.dz)
  • 3 Laboratory of Pure and Applied Mathematics, University of Msila, Algeria - (omar.bark@gmail.com)
  • Doi: https://doi.org/10.54216/IJNS.120204

    Received: July 27, 2020 Accepted: November 15, 2020
    Abstract

     

    In a recent paper, we have introduced the notion of standard single valued neutrosophic metric space as a generalization of standard fuzzy metric spaces given by J.R. Kider and Z.A. Hussain. In this paper, we continue our previous work by introducing the notions of complete standard single valued neutrosophic metric space and compact standard single valued neutrosophic metric space. Furthermore, we give a number of properties and characterizations of these notions and relationship between them.

     

    Keywords :

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    Single valued neutrosophic set, Metric space, Completeness, Compactness.

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    Cite This Article As :
    Milles, Soheyb. , Latrech, Abdelkrim. , Barkat, Omar. Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces. International Journal of Neutrosophic Science, vol. , no. , 2020, pp. 96-104. DOI: https://doi.org/10.54216/IJNS.120204
    Milles, S. Latrech, A. Barkat, O. (2020). Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces. International Journal of Neutrosophic Science, (), 96-104. DOI: https://doi.org/10.54216/IJNS.120204
    Milles, Soheyb. Latrech, Abdelkrim. Barkat, Omar. Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces. International Journal of Neutrosophic Science , no. (2020): 96-104. DOI: https://doi.org/10.54216/IJNS.120204
    Milles, S. , Latrech, A. , Barkat, O. (2020) . Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces. International Journal of Neutrosophic Science , () , 96-104 . DOI: https://doi.org/10.54216/IJNS.120204
    Milles S. , Latrech A. , Barkat O. [2020]. Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces. International Journal of Neutrosophic Science. (): 96-104. DOI: https://doi.org/10.54216/IJNS.120204
    Milles, S. Latrech, A. Barkat, O. "Completeness and Compactness in Standard Single Valued Neutrosophic Metric Spaces," International Journal of Neutrosophic Science, vol. , no. , pp. 96-104, 2020. DOI: https://doi.org/10.54216/IJNS.120204