Difference between revisions of "Hierarchical structure"
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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 order]]ed 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. | 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 order]]ed 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. | ||
=Related Pages= | |||
*[[Category:POSet]] | |||
*[[Category:Lattice]] | |||
*[[Category:Closure]] | |||
Revision as of 08:18, 29 January 2022
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.