RECONSTRUCTABILITY ANALYSIS FOR GENERAL FUNCTIONS

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Abstract
The new discipline of reconstructability analysis has provided a powerful framework for the study of the relationships between parts and wholes. The concentration of effort has been on systems with probabilistic or possibilistic behavior functions. This paper extends aspects of reconstructability analysis to general functions which need not be behavior functions. We refer to a system with such a function as a g-system. First, a g-system is transformed to a dimensionless form (borrowing a term from partial differential equations). A mathematical structure is then induced via a type of isomorphism onto this system which renders it amenable to analysis by established techniques in reconstructability analysis. Absolutely no restrictions are placed on the units or mathematical structure of the g-system. We refer to the system induced from the g-system as a Klir system or k-system. These systems are named in honor of the reconstructability analysis founder. Finally, we explicate some uses of k-systems induced from given g-systems. k-systems have easy immediate application (e.g. minimal storage of system information), but, more importantly, they render accessible new tracts of system dynamics studies.

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