Soft rough sets and their properties

Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. However, it has been pointed out that classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In this paper, the notion of the soft rough set theory is proposed. Soft rough set theory is a combination of a rough theory and a soft set theory. The complement, relative complement, union, restricted union, intersection, restricted intersection, "and" and "or" operations are defined on the soft rough sets. The basic properties of the soft rough sets are also presented and discussed.