### δβ-I APPROXIMATION SPACES

#### Abstract

In this paper, we generalize rough set theory by introducing concepts of δβ-I lower and δβ-I -upper approximation for any ideal I on X which depends on the concept δβ-I -open sets. Some of their basic properties with the help of examples are investigated and the interrelation between them are obtained. Also, the connections between the rough approximations de_ned in [2] and our new approximations are studied.

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