Perceptions of Several Sets in Ideal Nano Topological Spaces

Year 2018, Issue: 23, 78 - 84, 01.06.2018

İlangovan Rajasekaran Ochanan Nethaji Rajendran Prem Kumar

https://izlik.org/JA94BU66XH

Abstract

In this paper, we introduce the concepts of t-nI-set and R-nI-set are investigate and deal with an ideal nano topological spaces.

Keywords

t-nI-open set , R-nI-open set , and t®-nI-open set ®-nI-open set , pre-nI-open set and R®-nI-open set

References

• [1] K. Kuratowski, Topology, Vol I. Academic Press, New York, 1966.
• [2] M. Lellis Thivagar and Carmel Richard, On nano forms of weakly open sets, International Journal of Mathematics and Statistics Invention, 1 (1) (2013) 31-37.
• [3] M. Parimala, T. Noiri and S. Jafari, New types of nano topological spaces via nano ideals (To appear).
• [4] 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.
• [5] Z. Pawlak, Rough sets, International journal of computer and Information Sciences, 11 (5) (1982) 341-356.
• [6] I. Rajasekaran and O. Nethaji, Simple forms of nano open sets in ideal nano topological spaces, (Submitted).
• [7] R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci., 20 (1945) 51-61.
• [8] R. Vaidyanathaswamy, Set topology, Chelsea Publishing Company, New York, 1946.