Soft Rough Lattice

Sankar Kumar Roy, Susanta Bera

Rough and soft sets are both mathematical tools for dealing with uncertainty. But soft set theory is utilized for the first time, to generalize Pawlak's rough set model. Soft rough set is a connection between these two mathematical approaches to vagueness. In this study, we find a algebraic connection between soft rough set and algebraic system and thereby introduce the notion of soft rough lattice in a soft approximation space. We define the concept of a soft rough lattice, soft rough sublattice, modular soft rough lattice and distributive soft rough lattice. Finally, we cite some examples to illustrate the definitions.