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Applications of Temporal Conceptual Semantic Systems

  • Conference paper
Knowledge Processing and Data Analysis (KPP 2007, KONT 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6581))

Abstract

Based on Formal Concept Analysis the notion of a Temporal Conceptual Semantic System is introduced as a formal conceptual representation for temporal systems with arbitrary discrete or continuous semantic scales. In this paper, we start with an example of a weather map with a moving high pressure zone to explain the basic notions for Temporal Conceptual Semantic Systems. The central philosophical notion of an object is represented as a formal concept or, more flexible, as a tuple of concepts. Generalizing the idea of a volume of an object in physics we introduce the notion of a trace of an object in some space. This space is described as a continuous or discrete concept lattice. Combining the notion of a trace of an object with the notion of a time granule yields the notion of a state of an object at some time granule. This general notion of a state allows for a clear conceptual understanding of particles, waves and Heisenberg’s Uncertainty Relation. Besides these theoretical aspects, Temporal Conceptual Semantic Systems can be used very effectively in practice. That is shown for data of a distillation column using a nested transition diagram.

Supported by DFG project COMO, GZ: 436 RUS 113/829/0-1.

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Author information

Authors and Affiliations

  1. Mathematics and Science Faculty, Darmstadt University of Applied Sciences, Holzhofallee 38, D-64295, Darmstadt, Germany

    Karl Erich Wolff

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  1. Karl Erich Wolff
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Editors and Affiliations

  1. Hochschule Darmstadt, Fachbereich Mathematik und Naturwissenschaften, Holzhofallee 38, 64295, Darmstadt, Germany

    Karl Erich Wolff

  2. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Koptyug prosp. 4, 630090, Novosibirsk, Russia

    Dmitry E. Palchunov

  3. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Koptyug prosp. 4, 630090, Novosibirsk, Russia

    Nikolay G. Zagoruiko

  4. Fachbereich Informatik, Hochschule Darmstadt, Schoefferstraße 8b, 64295, Darmstadt, Germany

    Urs Andelfinger

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Wolff, K.E. (2011). Applications of Temporal Conceptual Semantic Systems. In: Wolff, K.E., Palchunov, D.E., Zagoruiko, N.G., Andelfinger, U. (eds) Knowledge Processing and Data Analysis. KPP KONT 2007 2007. Lecture Notes in Computer Science(), vol 6581. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22140-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-22140-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22139-2

  • Online ISBN: 978-3-642-22140-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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