Approximations in a hyperlattice by using set-valued homomorphisms

Abstract

In this paper, the concepts of set-valued homomorphism and strong setvalued homomorphism of a hyperlattice are introduced. The notions of generalized lower and upper approximation operators constructed by means of a set-valued mapping are provided. We also propose the notions of generalized lower and upper approximations with respect to a hyperideal of a hyperlattice which is an extended notion of rough hyperideal in a hyperlattice and discuss some significiant properties of them.