Abstract
In this article results of earlier publications on the subject are summarized with some extensions and notational improvements. In the introduction a heuristic outline of human knowledge, its aquisition and its processing is given to motivate the following mathematical representation. The basic mathematical concepts are hierarchies of generalized relations and operations on these, corresponding to knowledge and knowledge processing. Included are objects with space and time parameterization, valuations of objects by partial ordered values, neighborhood and similarity relations, i.e. topologies, and variable objects.
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Albrecht, R.F., Németh, G. (2003). Representation and Processing of Complex Knowledge. In: Moreno-Díaz, R., Pichler, F. (eds) Computer Aided Systems Theory - EUROCAST 2003. EUROCAST 2003. Lecture Notes in Computer Science, vol 2809. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45210-2_2
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DOI: https://doi.org/10.1007/978-3-540-45210-2_2
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