Approximations of some near open sets in ideal topological spaces

Author

Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia, Egypt

Abstract

In this paper, we introduce the concepts of j-ideal lower and j-ideal upper
approximations as a generalization of approximation by Pawlak by using j-ideal open
sets where j ∈ {α, S, P, γ, β, ⋀β}. Some of their basic properties with the aid of examples
are proven. Furthermore, we study the relationships between these approximations
to get the best of them.

Keywords