A FORMAL APPROACH TO CONCEPTS OF INTERACTION.
SYSTEMS RESEARCH CENTER CASE INST OF TECH CLEVELAND OHIO
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A formal study of interaction in systems is reported. The study is undertaken in the framework of a mathematical structure which serves as a model for a broad class of real systems from diverse scientific disciplines. The viewpoint is taken that the word interaction should not be associated with a single unique phenomenon in systems, but rather, should be considered as a label for a family of distinct but related phenomena. In the framework of the general system model certain mathematical concepts are formulated which correspond to phenomena in this family. The properties of these concepts are investigated and several interrelations among them are established. Several of the concepts considered are interpreted in the context of particular real systems. It is shown that certain of the concepts coincide with well-established notions generally regarded as unique to these particular real systems. Author
- Operations Research