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Protoconcept Graphs: The Lattice of Conceptual Contents

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Concept Lattices (ICFCA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2961))

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Abstract

Protoconcept graphs are part of Contextual Judgment Logic. Generalizing the well-developed theory of concept graphs, they express judgments with a negation on the level of concepts and relations by representing information given in a power context family in a rhetorically structured way. The conceptual content of a protoconcept graph is understood as the information which is represented in the graph directly, enlarged by the information deducible from it by protoconcept implications of the power context family. The main result of this paper is that conceptual contents of protoconcept graphs of a given power context family can be derived as extents of the so-called conceptual information context of the power context family, thus a generalization of the Basic Theorem on \(\overrightarrow{{\mathbb K}}-\)Conceptual Contents in [Wi03].

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References

  1. Brandom, R.B.: Making it explicit. Reasoning, Representing, and Discursive Commitment. Harvard University Press, Cambridge (1994)

    Google Scholar 

  2. Dau, F.: Concept Graphs without Negations: Standardmodels and Standardgraphs. In: Ganter, B., de Moor, A., Lex, W. (eds.) ICCS 2003. LNCS, vol. 2746, pp. 243–256. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  3. Dau, F.: The Logic System of Concept Graphs with Negation. LNCS (LNAI), vol. 2892. Springer, Heidelberg (2003)

    Book  MATH  Google Scholar 

  4. Dau, F.: Background Knowledge in Concept Graphs. In: Eklund, P. (ed.) ICFCA 2004. LNCS (LNAI), vol. 2961, pp. 156–171. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Dau, F., Klinger, J.: From Formal Concept Analysis to Contextual Logic. FB4-Preprint, TU Darmstadt (2003)

    Google Scholar 

  6. Eklund, P., Groh, B., Stumme, G., Wille, R.: A Contextual-Logic Extension of Toscana. In: Ganter, B., Mineau, G.W. (eds.) ICCS 2000. LNCS, vol. 1867, pp. 453–467. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  7. Ganter, B., Wille, R.: Formal Concept Analysis: Mathematical Foundations. Springer, Berlin (1999)

    MATH  Google Scholar 

  8. Prediger, S.: Kontextuelle Urteilslogik mit Begriffsgraphen. Shaker Verlag, Aachen (1998)

    MATH  Google Scholar 

  9. Prediger, S., Wille, R.: The Lattice of Concept Graphs of a Relationally Scaled Context. In: Tepfenhart, W.M. (ed.) ICCS 1999. LNCS, vol. 1640, pp. 401–414. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  10. Schoolmann, L., Wille, R.: Concept Graphs with Subdivision: a Semantic Approach. In: Priss, U., Corbett, D.R., Angelova, G. (eds.) ICCS 2002. LNCS (LNAI), vol. 2393, pp. 271–281. Springer, Heidelberg (2002)

    Google Scholar 

  11. Sowa, J.F.: Conceptual Structures: Information Processing in Mind and Machine. Adison-Wesley, Reading (1984)

    MATH  Google Scholar 

  12. Sowa, J.F.: Conceptual Graphs Summary. In: Nagle, T.E., Nagle, J.A., Gerholz, L.L., Eklund, P.W. (eds.) Conceptual Structures: Current Research and Practice, pp. 3–51. Ellis Horwood (1992)

    Google Scholar 

  13. Vormbrock, B., Wille, R.: Semiconcept and Protoconcept Algebras: The Basic Theorems. FB4-Preprint, TU Darmstadt, (2003)

    Google Scholar 

  14. Wille, R.: Conceptual Graphs and Formal Concept Analysis. In: Delugach, H.S., Keeler, M.A., Searle, L., Lukose, D., Sowa, J.F. (eds.) ICCS 1997. LNCS, vol. 1257, pp. 290–303. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  15. Wille, R.: Boolean Concept Logic. In: Ganter, B., Mineau, G.W. (eds.) ICCS 2000. LNCS, vol. 1867, pp. 317–331. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  16. Wille, R.: Contextual Logic Summary. In: Stumme, G. (ed.) Working with Conceptual Structures. Contributions to ICCS, pp. 256–276. Shaker, Aachen (2000)

    Google Scholar 

  17. Wille, R.: Boolean Judgment Logic. In: Delugach, H.S., Stumme, G. (eds.) ICCS 2001. LNCS (LNAI), vol. 2120, pp. 115–128. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  18. Wille, R.: Existential Graphs of Power Context Families. In: Priss, U., Corbett, D.R., Angelova, G. (eds.) ICCS 2002. LNCS (LNAI), vol. 2393, pp. 382–396. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  19. Wille, R.: Conceptual Content as Information - Basics for Contextual Judgment Logic. In: Ganter, B., de Moor, A., Lex, W. (eds.) ICCS 2003. LNCS, vol. 2746, pp. 1–15. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, D-64289, Darmstadt

    Joachim Hereth Correia & Julia Klinger

Authors
  1. Joachim Hereth Correia
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  2. Julia Klinger
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Editor information

Editors and Affiliations

  1. School of Information Systems and Technology, University of Wollongong, Northfields Ave, NSW 2522, Wollongong, Australia

    Peter Eklund

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© 2004 Springer-Verlag Berlin Heidelberg

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Correia, J.H., Klinger, J. (2004). Protoconcept Graphs: The Lattice of Conceptual Contents. In: Eklund, P. (eds) Concept Lattices. ICFCA 2004. Lecture Notes in Computer Science(), vol 2961. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24651-0_2

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  • DOI: https://doi.org/10.1007/978-3-540-24651-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21043-6

  • Online ISBN: 978-3-540-24651-0

  • eBook Packages: Springer Book Archive

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