Volume 18 , Issue 4 , PP: 44-50, | Cite this article as | XML | Html | PDF | Full Length Article
N. Gayathri 1 * , M.Helen 2
Doi: https://doi.org/10.54216/IJNS.180403
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.
Linguistic neutrosophic semi-connectedness , Linguistic neutrosophic extremely disconnected , Linguistic neutrosophic super semi-connected,Linguistic neutrosophic semi-compactness , Linguistic neutrosophic semi-compact space.
[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.
