Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces

İlangovan Rajasekaran; Ochanan Nethaji

EN

Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces

Abstract

In this paper, we introduce and study the new concepts called a-nI-open sets, semi-nI-open sets, pre-nI-open sets, b-nI-open sets and p-nI-open sets, which are simple forms of nano open sets in an ideal nano topological spaces. Also we characterize the relations between them and the related properties. And the independence of n-open sets and nI-open sets is established.

Keywords

n-open set,semi-nI-open set,®-nI-open set,pre-nI-open set

References

[1] D. Jankovi'c and T. R. Hamlett, Compatible extensions of ideals, Boll. Un. Mat. Ital., 7 (6-B) (1992), 453-465.
[2] K. Kuratowski, Topology, Vol I. Academic Press (New York) 1966.
[3] M. L. Thivagar and C. Richard, On nano forms of weakly open sets, Interna- tional Journal of Mathematics and Statistics Invention, 1 (1) (2013), 31-37.
[4] M. Parimala, T. Noiri and S. Jafari, New types of nano topological spaces via nano ideals (to appear).
[5] M. Parimala and S. Jafari, On some new notions in nano ideal topological spaces, International Balkan Journal of Mathematics (IBJM), 1(3)(2018), 85-92.
[6] M. Parimala, C. Indirani and S. Jafari, On nano b-open sets in nano topological spaces, Jordan Journal of Mathematics and Statistics 9 (3) (2016), 173-184.
[7] Z. Pawlak, Rough sets, International journal of computer and Information Sci- ences, 11 (5) (1982), 341-356.
[8] A. Revathy and G. Ilango, On nano ¯-open sets, Int. Jr. of Engineering, Con- temporary Mathematics and Sciences, 1 (2) (2015), 1-6.
[9] R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci., 20 (1945), 51-61.
[10] R. Vaidyanathaswamy, Set topology, Chelsea Publishing Company, New York, 1946.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

İlangovan Rajasekaran This is me

Ochanan Nethaji This is me

Publication Date

August 14, 2018

Submission Date

April 29, 2018

Acceptance Date

-

Published in Issue

Year 2018 Number: 24

IZ

https://izlik.org/JA78CW92CS

APA

Rajasekaran, İ., & Nethaji, O. (2018). Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. Journal of New Theory, 24, 35-43. https://izlik.org/JA78CW92CS

AMA

1.Rajasekaran İ, Nethaji O. Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. JNT. 2018;(24):35-43. https://izlik.org/JA78CW92CS

Chicago

Rajasekaran, İlangovan, and Ochanan Nethaji. 2018. “Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces”. Journal of New Theory, nos. 24: 35-43. https://izlik.org/JA78CW92CS.

EndNote

Rajasekaran İ, Nethaji O (August 1, 2018) Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. Journal of New Theory 24 35–43.

IEEE

[1]İ. Rajasekaran and O. Nethaji, “Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces”, JNT, no. 24, pp. 35–43, Aug. 2018, [Online]. Available: https://izlik.org/JA78CW92CS

ISNAD

Rajasekaran, İlangovan - Nethaji, Ochanan. “Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces”. Journal of New Theory. 24 (August 1, 2018): 35-43. https://izlik.org/JA78CW92CS.

JAMA

1.Rajasekaran İ, Nethaji O. Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. JNT. 2018;:35–43.

MLA

Rajasekaran, İlangovan, and Ochanan Nethaji. “Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces”. Journal of New Theory, no. 24, Aug. 2018, pp. 35-43, https://izlik.org/JA78CW92CS.

Vancouver

1.İlangovan Rajasekaran, Ochanan Nethaji. Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. JNT [Internet]. 2018 Aug. 1;(24):35-43. Available from: https://izlik.org/JA78CW92CS