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Axiomatic theory of hierarchical systems
Author(s) -
Voorhees Burton H.
Publication year - 1983
Publication title -
behavioral science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 45
eISSN - 1099-1743
pISSN - 0005-7940
DOI - 10.1002/bs.3830280105
Subject(s) - axiom , axiomatic system , systems theory , mathematics , computer science , mathematical economics , algebra over a field , pure mathematics , artificial intelligence , geometry
Abstract An axiomatic theory of hierarchical systems is presented. This theory is intended to apply to general multilevel systems and to provide a framework for mathematical modeling of such systems. As an example, several possible implications for Miller's (1978) living systems theory are mentioned. The mathematical development of the general theory is continued by imposing a restriction of vertical linearity. Several theorems relating to issues of control are proved for vertically linear systems. A theorem showing the feasibility of environmental interaction via cyclic time‐lagged correlations between system variables is proved.