Hierarchical structure

Hierarchical structures are recursively constructed by an inclusive relationships. The monotonic ordering relations between levels creates the hierarchy. It is due to the monotonic nature of hierarchy, it compresses wide spanning possibilities into narrower range of selections, so that it becomes a convenient structure for organizing complex systems. Conversely, by extrapolating a unifying ordering relationship, into multiple levels of partially ordered component arrangements, it allows a simpler language to express complexity. This is why many organizational structures naturally tend toward adopting hierarchical structure, so that information or entropy can be filtered through the highly compressible/expansive structure, given some consistent rule.