To exhaustively understand the impact of rule amendments and unforeseen cases on existing norms, it requires connecting their rule-based and case-based representations. However, those connections have not been explored in depth, especially for norms that are represented as soft constraints. This paper aims to explore the connection between constraint hierarchies and case models as representative formalisms of rule-based and case-based representations of soft-constraint norms respectively. To explore the connection, we express norm scopes and preferences in both formalisms as diagrams. Based on tightening and arranging diagrams, we found the translation of constraint hierarchies with one constraint per level into case models. This provides new insights into understanding prototypical cases made by rule-based soft-constraint norms.