On Convex Ordered Hyperrings

The concept of convex ordered hyperrings associated with a strongly regular relation was investigated in this study. In this paper, we first studied hyperatom elements of ordered hyperrings and then investigated characterizations of quotient ordered rings. Is there a strongly regular relation θ on a convex ordered hyperring R for which R/θ is a convex ordered ring? This leads to an ordered ring obtained from an ordered hyperring.