jzs-10865

A new type of nano open set 

Hardi A. Shareef 1* , Hardi N. Aziz 2 & Hilal O. Hamakarim 3

1 Mathematics Department, College of Science, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq 

2 Mathematics Department, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq 

3 Mathematics Department, College of Science, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq.

 *Corresponding Author’s e-mail: hardy.shareef@univsul.edu.iq

Abstract

The objective of this work is to introduce a new class of nano open set called nano 𝑆𝑤- open set in nano topological spaces. Basic properties of nano 𝑆𝑤-open sets are analyzed and compare this nano set with some other nano open sets.

Key Words: Nano 𝑆𝑤-open set, Nano semi-open set, Nano topological space

References 

[1] Nasef A. A., Aggour A. I. and Darwesh S. M., On some classes of nearly open sets in nano topological space, Journal of the Egyptian Mathematical Society, No. 24, pp. 585-589, 2016. 

[2] Pawlak Z., Rough sets, International Journal of Computer and Information Sciences, Vol. 11, pp. 341-356, 1982. 

[3] Rajasekaran I., Meharin M. and Nethaji O., On new classes of some nano open sets, International Journal of Pure and Applied Mathematical Science, Vol. 10, No. 2, pp. 147-155, 2017. 

[4] Revathy A. and Ilango G., On nano β-open sets, Int. Jr. of Engineering, Contemporary Mathematics and Sciences, Vol. 1, No. 2, pp. 1-6, 2015. 

[5] Saravanakumar D., Sathiyanandham T. and Shalini V. C., N𝑆𝑃-open sets and N𝑆𝑃-closed sets in nano topological spaces, International Journal of Pure and Applied Mathematics, Vol. 113, No. 12, pp. 98-106, 2017. 

[6] Thivagar M.L. and Richard C., On nano forms of weakly open sets, Int. J. Math. & Statistics Invention, Vol. 1, Issue 1, pp. 31-37, 2013. 

[7] Thivagar M. L. and Antoinette I. G., Note on nano hyperconnected spaces, South East Asian J. of Mathematics and Mathematical Sciences, Vol. 11, No. 1, pp. 25-36, 2019. 

[8] Thivagar M. L. and Richard C., Studies on Nano Topological Spaces, PhD. Thesis, School of Mathematics – Madurai Kamaraj University, 2013

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