T-Rough Sets Based on the Lattices

Document Type: Research articles


Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran.


The aim of this paper is to introduce and study set-
valued homomorphism on lattices and T-rough lattice with respect
to a sublattice. This paper deals with T-rough set approach on
the lattice theory. The result of this study contributes to, T-rough
fuzzy set and approximation theory and proved in several papers.
Keywords: approximation space; lattice; prime ideal; rough ideal;
T-rough set; set-valued homomorphism; T-rough fuzzy ideal