Rough Intuitionistic Fuzzy Sets in a Lattice
K.V. Thomas, Latha S Nair · 2011
In this paper basic notions of the rough intuitionistic fuzzy set theory will be given. In fact the paper concerns a relationship between rough intuitionistic fuzzy sets and lattice theory. We shall introduce the notion of rough intuitionistic fuzzy lattice (resp rough intuitionistic fuzzy ideals). We also defined intuitionistic fuzzy rough set corresponding to a rough set and given conditions for intuitionistic fuzzy rough lattice. We prove that an intuitionistic fuzzy rough set in Apr(X) is an intuitionistic fuzzy rough lattice iff it’s level rough set A (α,β) ,A(α,β) is a rough sub lattice of Apr(X). Mathematics Subject Classification: 03B52, 03F55, 06D72