Approximations in a hyperlattice by using set-valued homomorphisms


Yilmaz S., Kazanci O.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, ss.1755-1766, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 45 Konu: 6
  • Basım Tarihi: 2016
  • Doi Numarası: 10.15672/hjms.20164515995
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.1755-1766

Özet

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.