Approximations in a hyperlattice by using set-valued homomorphisms

Yilmaz Ş., Kazanci O.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, no.6, pp.1755-1766, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Doi Number: 10.15672/hjms.20164515995
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1755-1766
  • Keywords: Hyperlattice, Hypercongruence, Approximation space, Rough set, Lower and upper approximations, Set-valued mapping, ROUGHNESS, IDEALS
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, the concepts of set-valued homomorphism and strong set valued 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.