Rough Neutrosophic Set in a Lattice

Abstract

In this paper, we examine the relationship between rough fuzzy neutrosophic sets and lattice theory. We introduce the notion of Rough fuzzy neutrosophic set and Rough fuzzy neutrosophic lattice (resp Rough fuzzy neutrosophic ideals). Further, we discuss about fuzzy neutrosophic rough set corresponding to a rough set and define the terms and conditions for fuzzy neutrosophic rough lattice. We also prove that a fuzzy neutrosophic rough set 􀜣 in 􀜺 is a fuzzy neutrosophic rough lattice iff it’s level rough sets is a rough sub lattice of X.