Annals of Systems Research: Publikatie van de Systeemgroep by Henk Koppelaar (auth.), B. Van Rootselaar (eds.)

By Henk Koppelaar (auth.), B. Van Rootselaar (eds.)

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Extra resources for Annals of Systems Research: Publikatie van de Systeemgroep Nederland Publication of the Netherlands Society for Systems Research

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2. The s-modification leads to successor rtf' = (rtf- {Ea}) u {E~'}. 3. The a-modification leads to successor rtf" = (rtf- {Ea} ) U {*E~', E~}. Clearly, neither rtf' ~ rtf" nor rtf" ~ rtf'. We many conclude now that there are four potentially minimal ways of modifying Ea: the p-modification, a-modification, s-modification, and exclusion of Ea' Assume that they are all applicable to Ea and vj' V k E Ea, and generatesuccessorsrtfP , rtfa, rtfs, rtfe, respectively. Then rtfe ~ rtfs, rtfs ~ rtfP, and rtfa ~ rtfP.

J. KLIR, H. J. J. UYTTENHOVE Problem (ii), referred to as the structure identification problem, is the subject of this paper. It can more precisely be formulated as follows: Given a generative system (neutral or directed) which approximates a specific data system, determine a structure system (neutral or directed) whose elements are associated with subsets of variables of the data system and which best approximates the generative system. A method for solving the structure identification problem was proposed in previous papers [1,2] and is further advanced in this paper.

3. Structure System LetE = {ei' e2 , ••• , em} be a nomenpty set of identifiers of elements involved in a structure system and let eo stand for the environment of the system. Let r N be a nonempty set of neutral generative systems. Each element of the structure 36 G. J. KLIR, H. J. J. UYTTENHOVE system is one of these generative systems; the identification of a particular system for each element is given in terms of function fN : E-+r N Let Xi denote the set of external (observed) variables involved in the generative system associated with element ei (i = 1, 2, ...

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