International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

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

Volume 21 , Issue 1 , PP: 80-87, 2023 | Cite this article as | XML | Html | PDF | Full Length Article

n-refined Neutrosophic Fuzzy of Some Topological Concepts

Weria Saber 1 * , N. A. Nadhim 2 , Alaa M. F. AL-Jumaili 3

  • 1 Research Center, University of Garmian, Kalar, Kurdistan Region, Iraq - (weriasaber@gmail.com)
  • 2 Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq - (mad772918@uoanbar.edu.iq)
  • 3 Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq - ( mad772918@uoanbar.edu.iq)
  • Doi: https://doi.org/10.54216/IJNS.210107

    Received: January 20, 2023 Revised: April 22, 2023 Accepted: May 06, 2023
    Abstract

    In this paper, we present and study some concepts in topological space by using two tools in fuzzy theory which namely fuzzy and neutrosophic concepts. n-refined neutrosophic fuzzy topological space have been studied by n-refined neighborhood, n-refined compact set and other notions. Finally, some definitions, examples and new results have been presented in this paper.

    Keywords :

    Topological space , fuzzy set , open set , neutrosophic set , compact set.

    References

    [1] Smarandache, F. A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability. American Research Press, Rehoboth, NM, 1999.

    [2] F. Al-Sharqi, A. G. Ahmad and A. Al-Quran, Similarity Measures on Interval-Complex Neutrosophic Soft Sets with Applications to Decision Making and Medical Diagnosis under Uncertainty. Neutrosophic Sets and Systems, 51(1) (2022), 495-515.

    [3] F. Al-Sharqi, A. G. Ahmad and A. Al-Quran, Interval complex neutrosophic soft relations and their application in decision-making. Journal of Intelligent and Fuzzy Systems, 43(1) (2022), 745-771.

    [4] F. Al-Sharqi, A. G. Ahmad and A. Al-Quran, Interval-Valued Neutrosophic Soft Expert Set from Real Space to Complex Space. CMES-Computer Modeling in Engineering and Sciences 132(1) (2022), 267–293.

    [5] Asaad, B. A., & Musa, S. Y. (2022). Continuity and Compactness via Hypersoft Open Sets. International Journal of Neutrosophic Science, 19(2).

    [6] Al-Obaidi, A. H., Imran, Q. H., & Broumi, S. (2022). On New Concepts of Weakly NeutrosophicContinuous Functions. Journal of Neutrosophic and Fuzzy Systems (JNFS) Vol, 4(01), 08-14.

    [7] Abdulkadhim, M. M., Imran, Q. H., Al-Obaidi, A. H., & Broumi, S. (2022). On Neutrosophic CrispGeneralized Alpha Generalized Closed Sets. International Journal of Neutrosophic Science, 19(1), 107-115.

    [8] Aslam, M., Khan, N., & Khan, M. Z. (2018). Monitoring the variability in the process using neutrosophic statistical interval method. Symmetry, 10(11), 562.

    [9] F. Al-Sharqi, A.G. Ahmad, A. Al-Quran, Fuzzy parameterized-interval complex neutrosophic soft sets and their applications under uncertainty, Journal of Intelligent and Fuzzy Systems, vol. 44, pp.1453–1477, 2023.

    [10] Santos, M. E. G., Sánchez, N. F. F., Remache, J. D. B., & Velázquez, M. R. (2022). Analysis of the Right to Monetary Contribution for Illness through Neutrosophic Statistics. Neutrosophic Sets and Systems, 52, 363-370.

    [11] Smarandache, F., & Ali, M. (2018). Neutrosophic triplet group. Neural Computing and Applications, 29(7), 595-601.

    [12] Jun, Y. B., Song, S. Z., Smarandache, F., & Bordbar, H. (2018). Neutrosophic quadruple BCK/BCI-algebras. Axioms, 7(2), 41.

    [13] Mohammed Abed, M., Hassan, N., & Al-Sharq, F. (2022). On Neutrosophic Multiplication Module.Neutrosophic Sets and Systems, 49(1), 12

    [14] Abed, M. M. (2020). A new view of closed-CS-module. Italian Journal of Pure and Applied Mathematics, 43, 65-72.

    [15] Saad H. Zail , Majid Mohammed Abed , Faisal AL-Sharqi, Neutrosophic BCK-algebra and Ω-BCK-algebra, International Journal of Neutrosophic Science, Vol. 19 , No. 3 , (2022) : 08-15 (Doi : https://doi.org/10.54216/IJNS.190301)

    [16] Al-Sharqi, F. G., Abed, M. M., & Mhassin, A. A. (2018). On Polish Groups and their Applications. Journal of Engineering and Applied Sciences, 13(18), 7533-7536.

    [17] Deli, I., & Broumi, S. (2015). Neutrosophic soft matrices and NSM-decision making. Journal of Intelligent & Fuzzy Systems, 28(5), 2233-2241.

    [18] Abed, M. M., Al-Jumaili, A. F., & Al-Sharqi, F. G. (2018). Some mathematical structures in a topological group. J. Algab. Appl. Math, 16(2), 99-117.

    [19] Agboola, A. A. A. (2015). On refined neutrosophic algebraic structures. Neutrosophic Sets and Systems, 10, 99-101.

    [20] Abobala, M., & Lattakia, S. (2019). n-refined neutrosophic groups I. International Journal of Neutrosophic Science, Vol. 0, (1), 27-34.

    [21] Abobala, M. (2020). A study of AH-substructures in n-refined neutrosophic vector spaces. International Journal of Neutrosophic Science, 9, 74-85. [22] M. Abdallah Salih, D. Alawi Jarwan, Majid Mohammed Abedn-Refined Indeterminacy of Some Modules, International Journal of Neutrosophic Science (IJNS), Volume 20, Issue 2, PP: 20-26, 2023.

    Cite This Article As :
    Saber, Weria. , A., N.. , M., Alaa. n-refined Neutrosophic Fuzzy of Some Topological Concepts. International Journal of Neutrosophic Science, vol. , no. , 2023, pp. 80-87. DOI: https://doi.org/10.54216/IJNS.210107
    Saber, W. A., N. M., A. (2023). n-refined Neutrosophic Fuzzy of Some Topological Concepts. International Journal of Neutrosophic Science, (), 80-87. DOI: https://doi.org/10.54216/IJNS.210107
    Saber, Weria. A., N.. M., Alaa. n-refined Neutrosophic Fuzzy of Some Topological Concepts. International Journal of Neutrosophic Science , no. (2023): 80-87. DOI: https://doi.org/10.54216/IJNS.210107
    Saber, W. , A., N. , M., A. (2023) . n-refined Neutrosophic Fuzzy of Some Topological Concepts. International Journal of Neutrosophic Science , () , 80-87 . DOI: https://doi.org/10.54216/IJNS.210107
    Saber W. , A. N. , M. A. [2023]. n-refined Neutrosophic Fuzzy of Some Topological Concepts. International Journal of Neutrosophic Science. (): 80-87. DOI: https://doi.org/10.54216/IJNS.210107
    Saber, W. A., N. M., A. "n-refined Neutrosophic Fuzzy of Some Topological Concepts," International Journal of Neutrosophic Science, vol. , no. , pp. 80-87, 2023. DOI: https://doi.org/10.54216/IJNS.210107