On new forms of bi-ideal nano open sets

Abstract

The idea of nano topology was proposed by M.L. Thivagar. Since then, various researchers have worked on generalizing this theory. Bi-ideal nano topology was generated by approximation using two ideals. Motivated by the fact that this technique of approximation is better than the existing ones due to higher accuracy and more versatility, there is a need to investigate some new forms of bi-ideal nano topology. The aim of this paper is to generate novel forms of bi-ideal nano open sets, namely bi-ideal nano semi-open, bi-ideal nano pre-open, bi-ideal nano regular open, and bi-ideal nano α open sets. The interrelation of all these weak forms is studied. A practical application of nano topology is also discussed towards the end of this paper to find the main factors responsible for covid-19 disease.