A New Approach Of Supra-Neutrosophic Topological space

RiadKAlHamido

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A New Approach Of Supra-Neutrosophic Topological space

RiadKAlHamido ^*

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Abstract

In this new paper, we introduced new and important concepts in neutrosophic topology for the first time. Where we introduced the interesting concept "a new approach of neutrosophic supra-topological space (ŠNǺ-NTS)", that we presented this neutrosophic supra-topological space without using neutrosophic sets, and we also studied the separation axioms in this new neutrosophic supra-space and studied the relationship between the new separation axioms in (ŠNǺ-NTS) and the separation axioms of the previously known supra-topological space. We also defined the neutrosophic supra-topological sup-space from this new space. We prove that ŠNǺ-NTS is not a classical supra-topological space. Also, ŠNǺ-NTS is neither neutrosophic supra-topological space nor neutrosophic crisp topological space. Many examples and theories are presented.

Keywords

New approach of neutrosophic supra-topological spaces new approach of neutrosophic supra-open sets new approach of neutrosophic supra-closed sets sup-space separation axioms.

References

Al-Hamido, R. K, " A New Approach Of Neutrosophic Topological space ", International Journal of Neutrosophic Science, Vol 1, pp66-73, 2018.

[2] Salma, A. A. Alblowi, S.A. "Neutrosophic set and neutrosophic topological spaces", IOSR J. Math., Vol 3, pp31–35. 2012.

[3] Al-Hamido, R. K, "A study of multi-Topological Spaces", PhD Theses, AlBaath university , Syria, 2019.

[4] Al-Omeri, W. Jafari, S. "On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces", Mathematics, Vol 7, pp1-12, 2019. doi:doi.org/10.3390/math7010001.

[5] Smarandache, F. Pramanik, S."New Neutrosophic Sets via Neutrosophic Topological Spaces", In Neutrosophic Operational Research; Pons Editions: Brussels, Belgium, Vol 1, pp189–209, 2017.

[6] Al-Omeri, W."Neutrosophic crisp sets via neutrosophic crisp topological spaces", Neutrosophic Sets Syst, Vol 13, pp96–104, 2016.

[7] R.K. Al-Hamido, "Neutrosophic Crisp Bi-Topological Spaces", Neutrosophic Sets and Systems, Vol 21, pp66-73, 2018.

[8] AL-Nafee, A. B. Al-Hamido, R.K. Smarandache, F."Separation Axioms In Neutrosophic Crisp Topological Spaces", Neutrosophic Sets and Systems, Vol 25, pp25-32, 2019.

[9] Al-Hamido, R. K, "Neutrosophic Crisp Supra Bi-Topological Spaces", International Journal of Neutrosophic Science, Vol 1, pp66-73, 2018.

[10] Jayaparthasarathy, G.; Little Flower, V.F.; Arockia Dasan M.; Neutrosophic Supra Topological Applications in Data Mining Process, Neutrosophic Sets and Systems, ,(2019) ,vol. 27, pp. 80-97.

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, RiadKAlHamido. "A New Approach Of Supra-Neutrosophic Topological space." International Journal of Neutrosophic Science, vol. , no. , , pp. . DOI:

, R. (). A New Approach Of Supra-Neutrosophic Topological space. International Journal of Neutrosophic Science, (), . DOI:

, RiadKAlHamido. "A New Approach Of Supra-Neutrosophic Topological space." International Journal of Neutrosophic Science , no. (): . DOI:

, R. () 'A New Approach Of Supra-Neutrosophic Topological space', International Journal of Neutrosophic Science, (), pp. . DOI:

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R. , "A New Approach Of Supra-Neutrosophic Topological space," International Journal of Neutrosophic Science, vol. , no. , pp. , . DOI:

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