Study of Γ -hyperrings by fuzzy hyperideals with respect to a t-norm
An International Scientific Journal of Sapientia Hungarian University of Transylvania, vol.11, no.2, pp.306-331, 2020 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 11 Issue: 2
- Publication Date: 2020
- Journal Name: An International Scientific Journal of Sapientia Hungarian University of Transylvania
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
- Page Numbers: pp.306-331
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
Abstract
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.