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International Journal of Neutrosophic Science

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International Journal of Neutrosophic Science

Volume 24 , Issue 3 , PP: 172-178, 2024 | Cite this article as | XML | Html | PDF | Full Length Article

New Concepts in Partner Multineutrosophic Topological Space

Tuqa A. H. Al-Tamimi 1 * , Luay A. A. Al-Swidi 2 , Ali H. M. Al-Obaidi 3

  • 1 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. - (tuqa.hasan.pure442@student.uobabylon.edu.iq)
  • 2 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. - (pure.leal.abd@uobabylon.edu.iq)
  • 3 Department of Mathematics, College of Education for Pure Science, University of Babylon, Hillah, Iraq. - (aalobaidi@uobabylon.edu.iq)

    • Doi: https://doi.org/10.54216/IJNS.240315

    Received: October 12, 2023 Revised: February 08, 2024 Accepted: May 19, 2024
    Abstract

    We have new introduced two fundamental new concept that characterize partner multineutrosophic sets, the first of which we call the locally partner multineutrosophic interior and the second the locally partner fuzzy exterior, in addition to a concept related to set composition that we call detachable set, with the most important relationships to which these concept are linked and the properties that we have reached with an analytical view of them.

     

    Keywords :

    Partner multineutrosophic sets , Locally partner multineutrosophic interior and exterior set , detachable set.

    References

    [1] Zadeh L.A.(1965), Fuzzy set, Information and Control 8(142-150)

    [2] Tuqa A. hassen, L.A.A.Al.Swidi, Ali H. M. Al-Obaidi, (2024), partner Sets for Generalization of Neutrosophic Sets, International Journal of Neutrosophic Since.

    [3] Smarandache, F. (1999),A unifying field in Logics Neutrosophic Logic, In philosophy (pp. 1-141)American Research Press.

    [4] Al-Nafee, A.B,Broumi,s., Al-Swidi, L.A.(2021), n. Valued Refined Neutrosopfic crisp Sets, International Journal of Neutrosophic Science, 17(2),(87-95).

    [5] Almohammed, B. , AliSwidi, L.A.,(2022), New concept of fuzzy local function, Baghdad science Journal, 17(2) (515-522).

    [6] Hadi,M.H,Al-Swidi, L.A.A., (2022), Neutrosophic Axail set theory, Neutrosophic Sets and Systems, 51(295-302).

    [7] Florentin Samarandache, (2015), Neutrosophic Precalculus Pons Publishing House Brusselsm, 2017.

    [8] N. Palaniappan, Fuzzy Topology, Alpha Science intre. Ltd. 2002.

    [9] Smarandache,F. (2023), Introduction to the multineutrosophic set, neutrosophic sets and System, 61(I), pp.89-99.

    [10] Abdulsada, D.A.,Al-Swidi, L.A.A.,(2022), sepration axioms of center topological space, Journal of Advanced Research in Dynamical and control Systems, 12(2), pp.186-192.

    [11] Al-Swidi,L.A.Al-Ethary, M.A.(2014), Compactness with Gem-set, International Journal of Mathematical Analysis, 8(21-24), pp.1105-1117 .

    [12] Q. H. Imran, A. H. M. Al-Obaidi, & Smarandache, F., On Some Types of Neutrosophic Topological Groups with Respect to Neutrosophic Alpha Open Sets. Neutrosophic Sets and Systems, 32, (2020), 425-434.

    [13] Q. H. Imran, R. K. Al-Hamido and A. H. M. Al-Obaidi, On new types of weakly neutrosophic crisp continuity. Neutrosophic Sets and Systems, 38(2020), 179-187.

    [14] Q. H. Imran, K. S. Tanak and A. H. M. Al-Obaidi, On new concepts of neutrosophic crisp open sets. Journal of Interdisciplinary Mathematics, 25(2)(2022), 563-572.

    [15] A. H. M. Al-Obaidi and Q. H. Imran, On new types of weakly neutrosophic crisp open mappings. Iraqi Journal of Science, 62(8) (2021), 2660-2666.

    [16] A. H. M. Al-Obaidi, Q. H. Imran and M. M. Abdulkadhim, On new types of weakly neutrosophic crisp closed functions. Neutrosophic Sets and Systems, 50(2022), 239-247.

    Cite This Article As :
    A., Tuqa. , A., Luay. , H., Ali. New Concepts in Partner Multineutrosophic Topological Space. International Journal of Neutrosophic Science, vol. , no. , 2024, pp. 172-178. DOI: https://doi.org/10.54216/IJNS.240315
    A., T. A., L. H., A. (2024). New Concepts in Partner Multineutrosophic Topological Space. International Journal of Neutrosophic Science, (), 172-178. DOI: https://doi.org/10.54216/IJNS.240315
    A., Tuqa. A., Luay. H., Ali. New Concepts in Partner Multineutrosophic Topological Space. International Journal of Neutrosophic Science , no. (2024): 172-178. DOI: https://doi.org/10.54216/IJNS.240315
    A., T. , A., L. , H., A. (2024) . New Concepts in Partner Multineutrosophic Topological Space. International Journal of Neutrosophic Science , () , 172-178 . DOI: https://doi.org/10.54216/IJNS.240315
    A. T. , A. L. , H. A. [2024]. New Concepts in Partner Multineutrosophic Topological Space. International Journal of Neutrosophic Science. (): 172-178. DOI: https://doi.org/10.54216/IJNS.240315
    A., T. A., L. H., A. "New Concepts in Partner Multineutrosophic Topological Space," International Journal of Neutrosophic Science, vol. , no. , pp. 172-178, 2024. DOI: https://doi.org/10.54216/IJNS.240315

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