Study of Γ -hyperrings by fuzzy hyperideals with respect to a t-norm
An International Scientific Journal of Sapientia Hungarian University of Transylvania, cilt.11, sa.2, ss.306-331, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 2
- Basım Tarihi: 2020
- Dergi Adı: An International Scientific Journal of Sapientia Hungarian University of Transylvania
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Sayfa Sayıları: ss.306-331
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
In this paper, we study the Γ -hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasihyperideal and bi-hyperideal in Γ -hyperrings and some related properties
are investigated. Regular Γ -hyperrings are characterized in terms of Tfuzzy quasi-hyperideal and T-fuzzy bi-hyperideal. We also introduce the
T-(λ, µ)-fuzzy bi-hyperideals in Γ -hyperrings and investigate some of their
properties.