Conceptual descriptions of systems: Data and laws

Karl Erich Wolff · AIP conference proceedings · 2001

The author’s extension of Mathematical System Theory to Conceptual System Theory (Wolff [20,22]) using Formal Concept Analysis (Wille [15]) is fundamental for this paper. Based on Conceptual Time Systems using the notion of ‘time granules’ and the concept lattices of state and phase spaces the relations between the two main descriptions of systems, namely the descriptions by data and by laws (or models) are studied. To that purpose we introduce the notion of a conceptual law of a class of formal contexts, called worlds, with respect to a given interpretation of the attributes in these worlds.

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