Skip to main content
SpringerLink
Log in

Coherence Networks of Concept Lattices: The Basic Theorem

  • Conference paper
Book cover Formal Concept Analysis (ICFCA 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3403))

Included in the following conference series:

Abstract

For representing different views and their connections, networks of formal contexts are considered which are coded by so-called multicontexts. The coincidences between the network contexts of a multicontext give rise to a coherence network of concept lattices. It is the aim of this paper to state and to prove the Basic Theorem on Coherence Networks of Concept Lattices as an extension of the Basic Theorem on Concept Lattices.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Biedermann, K.: A foundation of the theory of trilattices. Dissertation, TU Darmstadt. Shaker Verlag, Aachen (1998)

    Google Scholar 

  2. Dau, F., Wille, R.: On the modal understanding of triadic contexts. In: Decker, R., Gaul, W. (eds.) Classification and information processing at the turn of the millennium, pp. 83–94. Springer, Heidelberg (2000)

    Google Scholar 

  3. Dörflein, S.K.: Coherence networks of concept lattices. In: Dissertation, TU Darmstadt. Shaker Verlag, Aachen (1999)

    Google Scholar 

  4. Eklund, P. (ed.): ICFCA 2004. LNCS (LNAI), vol. 2961. Springer, Heidelberg (2004)

    MATH  Google Scholar 

  5. Ganter, B., Wille, R.: Formal Concept Analysis: mathematical foundations. Springer, Heidelberg (1999)

    MATH  Google Scholar 

  6. Ganter, B., Wille, R., Wolf, K.E. (Hrsg.): Beiträge zur Begriffsanalyse. B.I.-Wissenschafts-verlag, Mannheim (1987)

    MATH  Google Scholar 

  7. Gast, P.: Begriffliche Strukturen mehrwertiger Multikontexte. Diplomarbeit, TH Darmstadt (1996)

    Google Scholar 

  8. IT-Grundschutzhandbuch 1996: Maßnahmenempfehlung für den mittleren Schutzbedarf, Band 3. Bundesamt für Sicherheit in der Informationstechnik, Berlin (1996)

    Google Scholar 

  9. Lehmann, F., Wille, R.: A triadic approach to Formal Concept Analysis. In: Ellis, G., Rich, W., Levinson, R., Sowa, J.F. (eds.) ICCS 1995. LNCS (LNAI), vol. 954, pp. 32–43. Springer, Heidelberg (1995)

    Google Scholar 

  10. Stumme, G., Wille, R. (Hrsg.): Begriffliche Wissensverarbeitung. Methoden und Anwendungen. Springer, Heidelberg (2000)

    MATH  Google Scholar 

  11. Wille, R.: Restructuring lattice theory: an approach based on hierarchies of concepts. In: Rival, I. (ed.) Ordered sets, pp. 445–470. Reidel, Dordrecht (1982)

    Google Scholar 

  12. Wille, R.: Concept lattices and conceptual knowledge systems. Computers & Mathematics with Applications 23, 493–515 (1992)

    Article  MATH  Google Scholar 

  13. Wille, R.: The basic theorem of Triadic Concept Analysis. Order 12, 149–158 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  14. Wille, R.: Conceptual structures of multicontexts. In: Eklund, P., Mann, G.A., Ellis, G. (eds.) ICCS 1996. LNCS (LNAI), vol. 1115, pp. 23–39. Springer, Heidelberg (1996)

    Google Scholar 

  15. Wille, R.: Conceptual landscapes of knowledge: a pragmatic paradigm for knowledge processing. In: Mineau, G., Fall, A. (eds.) Proceedings of the International Symposium on knowledge representation, use, and storage efficiency, Simon Fraser University, Vancouver, pp. 2–13 (1997); also in: Gaul, W., Locarek-Junge, H. (eds.): Classification in the information age, pp. 344–356. Springer, Heidelberg (1999)

    Google Scholar 

  16. Wille, R.: Begriffliche Wissensverarbeitung: Theorie und Praxis. Informatik Spektrum 23, 357–369 (2000); gekürzte Version in: Schmitz (Hrsg.), B.: Thema Forschung: Information, Wissen, Kompetenz. Heft 2/2000, TU Darmstadt, 128–140

    Article  Google Scholar 

  17. Wille, R.: Begriffliche Wissensverarbeitung in der Wirtschaft. Information - Wissenschaft und Praxis (Organ der Deutschen Gesellschaft für Informationswissenschaft und Informationspraxis e.V.) 53, 149–160 (2002)

    Google Scholar 

  18. Wille, R., Zickwolff, M. (Hrsg.): Begriffliche Wissensverarbeitung. In: Grundfragen und Aufgaben, B.I.-Wissenschaftsverlag, Mannheim (1994)

    Google Scholar 

  19. Wille, R., Zickwolff, M.: Grundlegung einer Triadischen Begriffsanalyse. In: Stumme, G., Wille, R. (eds.) Begriffliche Wissensverarbeitung. Methoden und Anwendungen, pp. 125–150. Springer, Heidelberg (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Sascha Karl Dörflein & Rudolf Wille

Authors
  1. Sascha Karl Dörflein
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rudolf Wille
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Algebra, University of Technology, Dresden, Germany

    Bernhard Ganter

  2. Département d’informatique, UQAM, P.O. Box, Montréal, (Qc), Canada

    Robert Godin

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dörflein, S.K., Wille, R. (2005). Coherence Networks of Concept Lattices: The Basic Theorem. In: Ganter, B., Godin, R. (eds) Formal Concept Analysis. ICFCA 2005. Lecture Notes in Computer Science(), vol 3403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-32262-7_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-32262-7_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24525-4

  • Online ISBN: 978-3-540-32262-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation