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-norms
• T-fuzzy (resp. left, right) hyperideal
• T-fuzzy quasi(bi)-hyperideal