In [14] and [15], we introduced and studied the concepts of soft topological ordered spaces and some soft ordered maps, respectively. To contribute on these topics, we employ a notion of soft b-open sets to propose newly soft ordered maps, that consequently generalize existing comparable notions, namely soft xb-continuous, soft xb-open, soft xb-closed and soft xb- homeomorphism maps, where x ? {I, D, B}. We construct some examples to elucidate the relationships among them and discuss the necessary and sufficient conditions for each one of them. Additionally, we present the counterparts of these soft  ordered maps on topological ordered spaces and investigate the links between them and the soft ordered maps initiated herein.