Approximations in a hyperlattice by using set-valued homomorphisms

Yıl 2016, Cilt: 45 Sayı: 6, 1755 - 1766, 01.12.2016

Ş. Yılmaz O. Kazancı

Öz

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. 

Anahtar Kelimeler

Hyperlattice, Hypercongruence, Approximation space, Rough set, Lower and upper approximations, Set-valued mapping

Kaynakça

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