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Journal of Neutrosophic and Fuzzy Systems

ISSN
Online: 2771-6449 Print: 2771-6430
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Continuous publication

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Open access journal. All articles are freely available online with no APC.

Journal of Neutrosophic and Fuzzy Systems
Full Length Article

New Operators Using Neutrosophic $ \delta $-Open Set

C. JohnSundar * ,
A.Vadivel
* Corresponding Author.

Abstract

In this paper, we introduce some new operators called neutrosophic $ \delta $ frontier, neutrosophic $ \delta $ border and neutrosophic $ \delta $ exterior with the help of neutrosophic $ \delta $-open sets in neutrosophic topological space. Also, we discuss the important properties of them and the relations between them.

Keywords

neutrosophic open set neutrosophic $ \delta $-open set neutrosophic $ \delta $ frontier neutrosophic $ \delta $ border neutrosophic $ \delta $ exterior

References

\begin{thebibliography}{10}


\bibitem{rk} R.K. Al-Hamido, ``A New Approach Of Neutrosophic Topological space", International Journal of Neutrosophic Science, Vol 7, pp 55-61, 2020.


\bibitem{ADJP} I. Arokiarani, R. Dhavaseelan, S. Jafari, and M. Parimala, ``On some new notions and functions in neutrosophic topological space", Neutrosophic Sets and Systems, Vol 16, pp 16-19, 2017.


\bibitem{z5} K. Atanassov, ``Intuitionistic fuzzy sets", Fuzzy Sets and Syst., Vol 20, pp 87-96, 1986.


\bibitem{z7} C.L. Chang, ``Fuzzy topological space", J. Math. Anal. Appl., Vol 24, pp 182-190, 1968.


\bibitem{DC} D. Coker, ``An introduction to intuitionistic fuzzy topological spaces", Fuzzy sets and syst., Vol 88, pp 81-89, 1997.


\bibitem{Is} P. Iswarya, and K. Bageerathi, ``A Study on Neutrosophic Frontier and Neutrosophic Semi-frontier in Neutrosophic Topological Spaces", Neutrosophic Sets and Systems, Vol 16, pp 6-15, 2017.


\bibitem{kss} S. Krishna Prabha, Said Broumi, and Selçuk Topal, ``A Novel Routing Network Algorithm via Netrosophic Fuzzy Set Approach", International Journal of Neutrosophic Science, Vol 13, pp 9-22, 2021.


\bibitem{pks} M. Parimala, M. Karthika, and F. Smarandache, ``A Review of Fuzzy Soft Topological Spaces, Intuitionistic Fuzzy Soft Topological Spaces and Neutrosophic Soft Topological Spaces", International Journal of Neutrosophic Science, Vol 10, pp 96-104, 2020.


\bibitem{SS} A.A. Salama, and F. Smarandache, ``Neutrosophic crisp set theory", Educational Publisher, Columbus, Ohio, USA, 2015.


\bibitem{SA} A.A. Salama, and S.A. Alblowi, ``Neutrosophic set and neutrosophic topological spaces", IOSR Journal of Mathematics, Vol 3, pp 31-35, 2012.


\bibitem{z19} A.A. Salama, F. Smarandache, and S.A. Alblowi, ``Characteristic function of neutrosophic set", Neutrosophic Sets and Systems, Vol 3, pp 14-17, 2014.


\bibitem{z20} A.A. Salama, F. Smarandache, and V. Kromov, ``Neutrosophic closed set and neutrosophic continuous functions", Neutrosophic Sets and Systems, Vol 4, pp 4-8, 2014.

`

\bibitem{shn} A.A. Salama, H. ElGhawalby, and A.M. Nasr, ``Star Neutrosophic Fuzzy Topological Space", International Journal of Neutrosophic Science, Vol 0, pp 77-82, 2019.


\bibitem{Sm1} F. Smarandache, ``A Unifying field in logics: neutrosophic logic. neutrosophy, $ N_{s} s$, neutrosophic probability", American Research Press, Rehoboth, NM, 1999.


\bibitem{Sm2} F. Smarandache, ``Neutrosophy and neutrosophic logic", First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics, University of New Mexico, Gallup, NM 87301, USA, 2002.


\bibitem{SSa} S. Saha, ``Fuzzy $ \delta $-continuous maps", J. Math. Anal. Appl., Vol 126, pp 130-142, 1987.


\bibitem{VJ4} A. Vadivel, M. Seenivasan, and C. John Sundar, ``An Introduction to $ \delta $-open sets in a Neutrosophic Topological Spaces", Journal of Physics: Conference Series, 1724, 012011, 2021.


\bibitem{VJ5} A. Vadivel and C. John Sundar, {\it Neutrosophic $ \delta $-Open Maps and Neutrosophic $ \delta $-Closed Maps}, International Journal of Neutrosophic Science (IJNS), {\bf 13} (2) (2021), 66-74.


\bibitem{z1} L.A. Zadeh, ``Fuzzy sets", Inform. Control, Vol 8, pp 338-353, 1965.


\end{thebibliography}

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JohnSundar, C., , A.Vadivel. "New Operators Using Neutrosophic $ \delta $-Open Set." Journal of Neutrosophic and Fuzzy Systems, vol. , no. , , pp. . DOI:
JohnSundar, C., , A. (). New Operators Using Neutrosophic $ \delta $-Open Set. Journal of Neutrosophic and Fuzzy Systems, (), . DOI:
JohnSundar, C., , A.Vadivel. "New Operators Using Neutrosophic $ \delta $-Open Set." Journal of Neutrosophic and Fuzzy Systems , no. (): . DOI:
JohnSundar, C., , A. () 'New Operators Using Neutrosophic $ \delta $-Open Set', Journal of Neutrosophic and Fuzzy Systems, (), pp. . DOI:
JohnSundar C, A. New Operators Using Neutrosophic $ \delta $-Open Set. Journal of Neutrosophic and Fuzzy Systems. ;():. DOI:
C. JohnSundar, A. , "New Operators Using Neutrosophic $ \delta $-Open Set," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. , . DOI:
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