2317 855
Full Length Article
Full Length Article
Volume 1 , Issue 2, PP: 61-70 , 2021 | Cite this article as | XML | Html |PDF

Title

New Operators Using Neutrosophic δ-Open Set

  A. Vadivel 1 * ,   C. John Sundar 2

1  PG and Research Department of Mathematics, Government Arts College (Autonomous), Karur - 639 005, India.
    (avmaths@gmail.com)

2  Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India.
    (johnphdau@hotmail.com)


Doi   :   https://doi.org/10.54216/JNFS.010202


Abstract :

In this paper, we introduce some new operators called neutrosophic δ frontier, neutrosophic δ border and neutrosophic δ exterior with the help of neutrosophic δ-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 :

[1]   R.K. Al-Hamido, “A New Approach Of Neutrosophic Topological space”, International Journal of Neutrosophic Science, Vol 7, pp 55-61, 2020.

[2]       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.

[3]       K. Atanassov, “Intuitionistic fuzzy sets”, Fuzzy Sets and Syst., Vol 20, pp 87-96, 1986.

[4]       C.L. Chang, “Fuzzy topological space”, J. Math. Anal. Appl., Vol 24, pp 182-190, 1968.

[5]       D. Coker, “An introduction to intuitionistic fuzzy topological spaces”, Fuzzy sets and syst., Vol 88, pp 81-89, 1997.

[6]       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.

[7]       S. Krishna Prabha, Said Broumi, and Selc¸uk Topal, “A Novel Routing Network Algorithm via Netrosophic Fuzzy Set Approach”, International Journal of Neutrosophic Science, Vol 13, pp 9-22, 2021.

[8]       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.

[9]       A.A. Salama, and F. Smarandache, “Neutrosophic crisp set theory”, Educational Publisher, Columbus, Ohio, USA, 2015.

[10]    A.A. Salama, and S.A. Alblowi, “Neutrosophic set and neutrosophic topological spaces”, IOSR Journal of Mathematics, Vol 3, pp 31-35, 2012.

[11]    A.A. Salama, F. Smarandache, and S.A. Alblowi, “Characteristic function of neutrosophic set”, Neutrosophic Sets and Systems, Vol 3, pp 14-17, 2014.

[12]    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. ‘

[13]    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.

[14]    F. Smarandache, “A Unifying field in logics: neutrosophic logic. neutrosophy, Nss, neutrosophic probability”, American Research Press, Rehoboth, NM, 1999.

[15]    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.

[16]    S. Saha, “Fuzzy δ-continuous maps”, J. Math. Anal. Appl., Vol 126, pp 130-142, 1987.

[17]    A. Vadivel, M. Seenivasan, and C. John Sundar, “An Introduction to δ-open sets in a Neutrosophic Topological Spaces”, Journal of Physics: Conference Series, 1724, 012011, 2021.

[18]    A. Vadivel and C. John Sundar, “Neutrosophic δ-Open Maps and Neutrosophic δ-Closed Maps”, International Journal of Neutrosophic Science (IJNS), Vol 13 (2), pp 66-74, 2021.

 

[19]    L.A. Zadeh, “Fuzzy sets”, Inform. Control, Vol 8, pp 338-353, 1965.


Cite this Article as :
Style #
MLA A. Vadivel, C. John Sundar. "New Operators Using Neutrosophic δ-Open Set." Full Length Article, Vol. 1, No. 2, 2021 ,PP. 61-70 (Doi   :  https://doi.org/10.54216/JNFS.010202)
APA A. Vadivel, C. John Sundar. (2021). New Operators Using Neutrosophic δ-Open Set. Journal of Full Length Article, 1 ( 2 ), 61-70 (Doi   :  https://doi.org/10.54216/JNFS.010202)
Chicago A. Vadivel, C. John Sundar. "New Operators Using Neutrosophic δ-Open Set." Journal of Full Length Article, 1 no. 2 (2021): 61-70 (Doi   :  https://doi.org/10.54216/JNFS.010202)
Harvard A. Vadivel, C. John Sundar. (2021). New Operators Using Neutrosophic δ-Open Set. Journal of Full Length Article, 1 ( 2 ), 61-70 (Doi   :  https://doi.org/10.54216/JNFS.010202)
Vancouver A. Vadivel, C. John Sundar. New Operators Using Neutrosophic δ-Open Set. Journal of Full Length Article, (2021); 1 ( 2 ): 61-70 (Doi   :  https://doi.org/10.54216/JNFS.010202)
IEEE A. Vadivel, C. John Sundar, New Operators Using Neutrosophic δ-Open Set, Journal of Full Length Article, Vol. 1 , No. 2 , (2021) : 61-70 (Doi   :  https://doi.org/10.54216/JNFS.010202)