HIERARCHY: A METHOD FOR ANALYSIS AND SYNTHESIS OF HIERARCHIES AND NETWORKS
A set of mathematical and logical objects have been comprised under a new generalized concept of hierarchy. Seven postulates are formulated demarcating the volume of this concept. The compatibility of the existing definitions of hierarchies is attained by comparing them with the more general one by means of nine primary and four secondary invariant characteristics. The latter are derived from Ostwald's 1910 invariants by using Klein's 1872 methods of developing generations of invariants. The generalized concept embodies the former notions of hierarchies. The method for describing a hierarchy is illustrated for the process and the hierarchic system.
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