Topological Properties of Rough Approximation Operation Based on IF Sets

In rough set theory, he lower and upper approximation operations defined by binary relations satisfy many interesting properties. Various generalizations of Pawlak´s rough approximations have been made in the literature over the years. Radzikowska([3])proposed a genergal framework for the study of relation-based intuitionistic fuzzy rough approximation, introduced IF sets and IF rough approximation operations, then gave some basic properties of these operations. This paper we continue to their properties. When the L-fuzzy relation R is reflexive, the IF approximation space becomes a fuzzy topological space, then we introduce internal and closure operations and discuss their topological properties.