Characterizations of Hyperrings by Fuzzy Hyperideals with Respect to A t-norm

Abstract

In this paper, we inquire further into the properties on some kind fuzzy hyperideals and we study the 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 hyperrings and some related properties are investigated. Regular hyperrings are characterized in terms of T-fuzzy quasi-hyperideal and T-fuzzy bi-hyperideal.

Keywords

• Hyperrings
• t-norm
• T-fuzzy (resp. left, right) hyperideal
• T-fuzzy quasi(bi)-hyperideal