After obtaining certain basic properties of soft regular open sets, we define an operator called soft r_o-operator on a soft topological space and investigate its preliminary properties.

soft r_o-operator, soft closure, soft interior, soft regular open.

Received: February 7, 2022; Accepted: April 13, 2022; Published: May 11, 2022

How to cite this article: Nisha N. and Baby Chacko, Soft r_o-operators on soft topological space, Advances in Fuzzy Sets and Systems 27(1) (2022), 139-150. http://dx.doi.org/10.17654/0973421X22007

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

References:

[1] D. Molodtsov, Soft set theory first results, Comput. Math. Appl. 37 (1999), 19-31.
[2] Muhammad Shabir and Munazza Naz, On soft topological spaces, Comput. Math. Appl. 61 (2011), 1786-1799.
[3] I. A. Onyeozili and T. M. Gwary, A study of the fundamentals of soft set theory, International Journal of Scientific and Technology Research 3(4) (2014), 132-143.
[4] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003), 555-562.
[5] Sabir Hussain and Bashir Ahmad, Some properties of soft topological spaces, Comput. Math. Appl. 62 (2011), 4058-4067.
[6] Sabir Hussain, On soft regular-open(closed) sets in soft topological spaces, Journal of Applied Mathematics and Informatics 35(1-2) (2018), 59-68.
[7] S. Hussain and B. Ahmad, Soft separation axioms in soft topological spaces, Hacet. J. Math. Stat. 44 (2015), 559-568.