A note on the lattice of fuzzy hyperideals of a hyperring

Bayrak D., Yamak S.

AFRIKA MATEMATIKA, vol.28, pp.1185-1192, 2017 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28
  • Publication Date: 2017
  • Doi Number: 10.1007/s13370-017-0511-y
  • Journal Name: AFRIKA MATEMATIKA
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.1185-1192
  • Karadeniz Technical University Affiliated: Yes

Abstract

Many studies have investigated lattices of fuzzy algebraic systems. One of them belongs to Borzooei et al. (Soft Comput 12:739-749, 2008) who found some properties of lattices of fuzzy algebraic structures. In this study, we solve the problem of finding necessary and sufficient conditions for distributivity and modularity of lattice of fuzzy hyperideals of a hyperring which was one of the open problems in Borzooei's paper.