The Position of Rough Set in Soft Set: A Topological Approach

摘要

In this paper, the author presents the concept of topological space that must be used to show a relation between rough set and soft set. There are two main results presented; firstly, a construction of a quasi-discrete topology using indiscernibility (equivalence) relation in rough set theory is described. Secondly, the paper describes that a "general" topology is a special case of soft set. Hence, it is concluded that every rough set can be considered as a soft set.