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

İlangovan Rajasekaran; Ochanan Nethaji

Araştırma Makalesi

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

Yıl 2018, Sayı: 24, 35 - 43, 14.08.2018

Öz

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.

Anahtar Kelimeler

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

Kaynakça

[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.

Yıl 2018, Sayı: 24, 35 - 43, 14.08.2018

İlangovan Rajasekaran Ochanan Nethaji

Öz

Kaynakça

[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.

Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Araştırma Makalesi
Yazarlar	İlangovan Rajasekaran Bu kişi benim Ochanan Nethaji Bu kişi benim
Yayımlanma Tarihi	14 Ağustos 2018
Gönderilme Tarihi	29 Nisan 2018
Yayımlandığı Sayı	Yıl 2018 Sayı: 24

Kaynak Göster

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.
AMA	Rajasekaran İ, Nethaji O. Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. JNT. Ağustos 2018;(24):35-43.
Chicago	Rajasekaran, İlangovan, ve Ochanan Nethaji. “Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces”. Journal of New Theory, sy. 24 (Ağustos 2018): 35-43.
EndNote	Rajasekaran İ, Nethaji O (01 Ağustos 2018) Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. Journal of New Theory 24 35–43.
IEEE	İ. Rajasekaran ve O. Nethaji, “Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces”, JNT, sy. 24, ss. 35–43, Ağustos 2018.
ISNAD	Rajasekaran, İlangovan - Nethaji, Ochanan. “Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces”. Journal of New Theory 24 (Ağustos 2018), 35-43.
JAMA	Rajasekaran İ, Nethaji O. Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. JNT. 2018;:35–43.
MLA	Rajasekaran, İlangovan ve Ochanan Nethaji. “Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces”. Journal of New Theory, sy. 24, 2018, ss. 35-43.
Vancouver	Rajasekaran İ, Nethaji O. Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces. JNT. 2018(24):35-43.