A note on the lattice of fuzzy hyperideals of a hyperring

Bayrak D., Yamak S.

AFRIKA MATEMATIKA, cilt.28, ss.1185-1192, 2017 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s13370-017-0511-y
  • Dergi Adı: AFRIKA MATEMATIKA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1185-1192
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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.