Approximations in a hyperlattice by using set-valued homomorphisms

Authors : Ş. YILMAZ, O. KAZANCI

Pages : 1755-1766

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Publication Date : 2016-12-01

Article Type : Research Paper

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. 
Keywords : Hyperlattice, Hypercongruence, Approximation space, Rough set, Lower and upper approximations, Set valued mapping