Skew lattice theory and rough set theory are relatively independent. In this paper, we focus on the relationship between rough sets and skew lattices, a non-commutative generalization of lattices. Motivated by the study on rough ideals in algebraic structures such as lattices, groups and gamma semigroups, we investigate rough substructures of skew lattices, including rough sub-skew lattices and rough sublattices, rough ideals and rough filters, as well as rough s-ideals and rough s-filters.
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