Uncertainty has been used in different areas in our life such as medical diagnosis, social
studies, pharmacology and others. The soft set theory and rough set theory are treated
as mathematical approaches to deal with uncertainty. In 2011, Feng et al. introduced
the notion of soft rough sets. In 2013, we introduced the notion of soft rough sets on a
complete atomic Boolean lattice as a generalization of soft rough sets. In this paper, we
strengthen the concept of soft rough set on a complete atomic Boolean lattice by
defining the concept of modified soft rough set (MRS-set) on a complete atomic
Boolean lattice. In this model, some properties which were not satisfied in soft rough
sets on a complete atomic Boolean lattice can be proved. Finally, we will use this
concept to introduce the concept of modified soft rough topology and we apply this
concept in diabetes mellitus.