The phrase "set on deck" typically refers to placing or positioning something on the floor of a ship's deck. However, there are various synonyms that can be used interchangeably, depending on the context. For instance, "arrange on deck" implies a careful placement or organization of objects, while "position on deck" suggests a deliberate or intentional placement. "Lay on deck" is a more commonly used synonym and generally means to place something flat on the ship's deck. "Place on deck" is used to indicate a general or casual placement, while "deploy on deck" indicates a more strategic preparation of equipment or materials on the ship for specific purposes or missions.