Abstract

In this paper, we first introduce the concept of a strong semi^*-I-open set which is weaker than the concept of a Semi-I-open set and stronger than the concept of semi^*-I-open set. Moreover, we will study its properties and discuss the relationships between this concept and relevant concepts intopological and ideal topological spaces. Finally, by using the new notion, we defined the strong semi^*-I-interior and strong semi^*-I-closure operators and establish their various properties.