Study of Γ-hyperrings by fuzzy hyperideals with respect to a t-norm

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 quasi-hyperideal and bi-hyperideal in Γ-hyperrings and some related properties are investigated. Regular Γ-hyperrings are characterized in terms of T-fuzzy 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.

Keywords

• γ-hyperrings
• t-norm
• t-fuzzy (resp. left, right) hyperideal
• t-fuzzy quasi(bi)-hyperideal
• 16y99
• 16d25
• 20n20
• 08a72