Approximations of some near open sets in ideal topological spaces

Abstract

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

• j-ideal approximation spaces
• j-ideal open sets
• Accuracy measure