704 702
Full Length Article
International Journal of Neutrosophic Science
Volume 18 , Issue 4, PP: 44-50 , | Cite this article as | XML | Html |PDF

Title

Linguistic Neutrosophic Semi-Connectedness and Semi-Compactness

  N. Gayathri 1 * ,   M.Helen 2

1  Nirmala College for Women, Coimbatore,Tamilnadu, India.
    (gayupadmagayu@gmail.com)

2  Nirmala College for Women, Coimbatore,Tamilnadu, India.
    (helvic63@yahoo.co.in)


Doi   :   https://doi.org/10.54216/IJNS.180403

Received: February 25, 2022 Accepted: June 17, 2022

Abstract :

The notions of semi-connectedness and semi-compactness in linguistic neutrosophic topological space are presented and some of their properties are discussed in this study. Further, the idea of linguistic neutrosophic semi-compact space is instigated and investigated.

Keywords :

Linguistic neutrosophic semi-connectedness; Linguistic neutrosophic extremely disconnected; Linguistic neutrosophic super semi-connected , Linguistic neutrosophic semi-compactness; Linguistic neutrosophic semi-compact space.

References :

[1] K.T.Atanassov, Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 1986; 20, pp. 87-96.

[2] C.L.Chang, Fuzzy topological spaces, Journal of Mathematical Analysis and Applications, 1968;

24, pp. 182-190.

[3] D.Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 1997;

88, pp. 81-89.

[4] C. Dorsett, Semi-Compactness, Semi-separation axioms and product spaces, Bulletin of Malaysian

Mathematical Society, (2)4, 1981, 21-28.

[5] R.Engelking, General Topology, Translated from the Polish by the author, Second edition

Heldermann, Berlin, 1989.

[6] W.M.Fleischman, A new extension of countable compactness, Fund. Math.67(1970), 1–9.

[7] N.Gayathri, M.Helen, Linguistic Neutrosophic Topology, Neutrosophic Sets and Systems, 46,

2021, 254-267.

[8] Zebo Fang and Jun Ye, Multiple Attribute Group Decision-Making Method Based on Linguistic

Neutrosophic Numbers.Symmetry,9(7), 2017. 111.

[9] James R Munkres, Topology: a First Course, Englewood Cliffs, N.J., Prentice-Hall, 1974.

[10] Norman Levine, Semi-open Sets and Semi-continuity in Topological Spaces, The American

Mathematical Society, Vol.70, 1, 1963, 36-41.

[11] T.M.Nour, Totally semi-continuous functions, Indian Journal of Pure Applied Mathematics, 26(7)

(1995), 675 - 678.

[12] A.A.Salama, S.A.Alblowi, Neutrosophic set and Neutrosophic topological spaces, IOSR journal of

Mathematics, 3(4), 2012, 31-35.

[13] Smarandache Florentin, A unifying field in logics, Neutrosophy: Neutrosophic probability, set and

logic, American Research Press, Rehoboth, 1999.

[14] Smarandache Florentin, Neutrosophic set - a generalization of the intuitionistic fuzzy sets,

International Journal of pure and applied mathematics, 24, 2005, 287-297.

[15] L.A.Zadeh, Fuzzy Sets, Information and Control, 1965; 8,pp. 338-353.

[16] L.A.Zadeh, The concept of a linguistic variable and its application to approximate reasoning Part

I, Information Science, 1975, 8, 199-249.


Cite this Article as :
Style #
MLA N. Gayathri, M.Helen. "Linguistic Neutrosophic Semi-Connectedness and Semi-Compactness." International Journal of Neutrosophic Science, Vol. 18, No. 4, ,PP. 44-50 (Doi   :  https://doi.org/10.54216/IJNS.180403)
APA N. Gayathri, M.Helen. (). Linguistic Neutrosophic Semi-Connectedness and Semi-Compactness. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 44-50 (Doi   :  https://doi.org/10.54216/IJNS.180403)
Chicago N. Gayathri, M.Helen. "Linguistic Neutrosophic Semi-Connectedness and Semi-Compactness." Journal of International Journal of Neutrosophic Science, 18 no. 4 (): 44-50 (Doi   :  https://doi.org/10.54216/IJNS.180403)
Harvard N. Gayathri, M.Helen. (). Linguistic Neutrosophic Semi-Connectedness and Semi-Compactness. Journal of International Journal of Neutrosophic Science, 18 ( 4 ), 44-50 (Doi   :  https://doi.org/10.54216/IJNS.180403)
Vancouver N. Gayathri, M.Helen. Linguistic Neutrosophic Semi-Connectedness and Semi-Compactness. Journal of International Journal of Neutrosophic Science, (); 18 ( 4 ): 44-50 (Doi   :  https://doi.org/10.54216/IJNS.180403)
IEEE N. Gayathri, M.Helen, Linguistic Neutrosophic Semi-Connectedness and Semi-Compactness, Journal of International Journal of Neutrosophic Science, Vol. 18 , No. 4 , () : 44-50 (Doi   :  https://doi.org/10.54216/IJNS.180403)