Normal fuzzy hyperideals in hypernear-rings

YAMAK S., KAZANCI O., Davvaz B.

NEURAL COMPUTING & APPLICATIONS, cilt.20, sa.1, ss.25-30, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s00521-010-0459-4
  • Dergi Adı: NEURAL COMPUTING & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.25-30
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

Applying the concept of fuzzy sets to hypernear-rings, Davvaz introduced the notion of a fuzzy hyperideal as early as 1999, and it has been studied by several authors. In this paper, we introduce the notion of fuzzy hyperideals in hypernear-rings and investigate some related properties. Also, we characterize maximal fuzzy hyperideals and show that every maximal fuzzy hyperideal of a hypernear-ring is completely normal.