Neutrosophic Vague Generalized Pre Connectedness in Neutrosophic Vague Topological Space

Mary Margaret A; Trinita Pricilla M

doi:https://doi.org/10.14445/22315373/IJMTT-V58P512

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 58 | Number 2 | Year 2018 | Article Id. IJMTT-V58P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P512

Neutrosophic Vague Generalized Pre Connectedness in Neutrosophic Vague Topological Space

Mary Margaret A, Trinita Pricilla M

Citation :

Mary Margaret A, Trinita Pricilla M, "Neutrosophic Vague Generalized Pre Connectedness in Neutrosophic Vague Topological Space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 2, pp. 85-93, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P512

Abstract

The purpose of this paper is to initiate and study some of the different types of connected spaces in neutrosophic vague topological space such as neutrosophic vague C5 -connected space, neutrosophic vague generalized connected space and neutrosophic vague generalized pre connected space. Spaces such as neutrosophic vague generalized pre super connected space and neutrosophic vague generalized pre extremally disconnected space are also introduced. We also obtain several properties and characterizations concerning connectedness in these spaces.

Keywords

NV 5 C -connected space, NVG-connected space and NVGP-connected space, NVGP super connected space and NVGP extremally disconnected space.

References

[1] Atanassov K.T, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol 20, p.87-96, 1986.
[2] Chang C.L, Fuzzy topological spaces. J Math.Anal.Appl., vol 24,p.182-190, 1968.
[3] Gau WL, Buehrer DJ, Vague sets, IEEE Trans. Systems Man and Cybernet, 23(2), p.610-614, 1993.
[4] Levine. N, Generalized closed sets in topological spaces, Rend. Circ. Mat. Palermo, 19,p.89-96, 1970.
[5] Mary Margaret. A, Trinita Pricilla. M, Neutrosophic vague generalized pre-closed sets in neutrosophic vague topological spaces, International journal of mathematics and its applications, 5,4-E, p.747–759, 2017.
[6] Mary Margaret. A, Trinita Pricilla. M, Neutrosophic vague generalized pre-continuous and irresolute mappings, International journal of engineering, science and mathematics, 7(2), p.228-244, 2018.
[7] Shawkat Alkhazaleh, Neutrosophic vague set theory, Critical Review, Volume X, p.29-39, 2015.
[8] Smarandache F, A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic, Rehoboth: American Research Press 1998.
[9] Zadeh L.A, Fuzzy Sets. Information and Control, p.8:338-335, 1965.