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Abstract

Structures of concepts can be described by Boolean lattices, factorial structures of attributes by splitting lattices. Generally the splitting lattices are neither distributive nor complementary. A generalization of the calculus in lattices of quantity systems enables the introduction of hierarchical structures. The relation between factorial and hierarchical attribute structures is shown. Formal hierarchical structures can be represented by semantic structures and vice versa. Often semantic structures only seem to be factorial or hierarchical. So it is necessary to differentiate strictly between formal and semantic structures.

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References

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© 1991 Springer-Verlag Berlin · Heidelberg

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Hultsch, E. (1991). Structure of Informations on Medical Trials. In: Bock, HH., Ihm, P. (eds) Classification, Data Analysis, and Knowledge Organization. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76307-6_37

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  • DOI: https://doi.org/10.1007/978-3-642-76307-6_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53483-9

  • Online ISBN: 978-3-642-76307-6

  • eBook Packages: Springer Book Archive

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