T-Rough Sets Based on the Lattices

Abstract

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