Skip to main content

Attribute Exploration with Background Implications and Exceptions

  • Conference paper
Data Analysis and Information Systems

Summary

Implications between attributes can represent knowledge about objects in a specified context. This knowledge representation is especially useful when it is not possible to list all specified objects. Attribute exploration is a tool of formal concept analysis that supports the acquisition of this knowledge. For a specified context this interactive procedure determines a minimal list of valid implications between attributes of this context together with a list of objects which are counterexamples for all implications not valid in the context. This paper describes how the exploration can be modified such that it determines a minimal set of implications that fills the gap between previously given implications (called background implications) and all valid implications. The list of implications can be simplified further if exceptions are allowed for the implications.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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.

Similar content being viewed by others

References

  • Burmeister, P. (1987): Programm zur formalen Begriffsanalyse einwertiger Kontexte. Technische Hochschule Darmstadt (Latest version 1995 for Atari ST and MS DOS).

    Google Scholar 

  • Duquenne, V., and Guigues, J.-L. (1986): Families minimales d’ implications informatives resultant d’ un tableau de donnees binaires. Math. Sci. Humaines, 95, 5–18.

    Google Scholar 

  • Ehrenberger, P., HEISS, R., IHRINGER, CI., and VOGEL, N. (1992): Be-griffsverband ausgewählter Graphen. Mittelseminar, TH Darmstadt.

    Google Scholar 

  • Ganter, B. (1987): Algorithmen zur Begriffsanalyse. In: B. Ganter, R. Wille and K. E. Wolff (eds.): Beiträge zur Begriffsanalyse. B. I.-Wissenschaftsverlag, Mannheim, Wien, Zürich, 241–254.

    Google Scholar 

  • Ganter, B., and Wille, R. (1995): Formale Begriffsanalyse: Mathematische Grundlagen. Springer, Berlin, Heidelberg (To appear).

    Google Scholar 

  • Stumme, G. (1995): Distributive Concept Exploration — a tool for knowledge acquisition in formal concept analysis. (In preparation).

    Google Scholar 

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

    Google Scholar 

  • Wille, R. (1989): Knowledge acquisition by methods of formal concept analysis. In: E. Diday (ed.): Data analysis, learning synibolic and numeric knowledge. Nova Science Publisher, New York, Budapest, 365–380.

    Google Scholar 

  • Wilson, R. J. (1975): Introduction to graph theory. Longman, London.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Stumme, G. (1996). Attribute Exploration with Background Implications and Exceptions. In: Bock, HH., Polasek, W. (eds) Data Analysis and Information Systems. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80098-6_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-80098-6_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60774-8

  • Online ISBN: 978-3-642-80098-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics