Skip to main content

Flexible Control of Case-Based Prediction in the Framework of Possibility Theory

  • Conference paper
  • First Online:
Advances in Case-Based Reasoning (EWCBR 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1898))

Included in the following conference series:

Abstract

The “similar problem-similar solution” hypothesis underlying case-based reasoning is modelled in the framework of possibility theory and fuzzy sets. Thus, case-based prediction can be realized in the form of fuzzy set-based approximate reasoning. The inference process makes use of fuzzy rules. It is controlled by means of modifier functions acting on such rules and related similarity measures. Our approach also allows for the incorporation of domain-specific (expert) knowledge concerning the typicality (or exceptionality) of the cases at hand. It thus favors a view of case-based reasoning according to which the user interacts closely with the system in order to control the generalization beyond observed data. Our method is compared to instance-based learning and kernel-based density estimation. Loosely speaking, it adopts basic principles of these approaches and supplements them with the capability of combining knowledge and data in a flexible way.

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

Access this chapter

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. A. Aamodt and E. Plaza. Case-based reasoning: Foundational issues, methodological variations, and system approaches. AI Communications, 7(1):39–59, 1994.

    Google Scholar 

  2. D. W. Aha, D. Kibler, and M. K. Albert. Instance-based learning algorithms. Machine Learning, 6(1):37–66, 1991.

    Google Scholar 

  3. C. M. Bishop. Neural Networks for Pattern Recognition. Clarendon Press, Oxford, 1995.

    Google Scholar 

  4. B.V. Dasarathy, editor. Nearest Neighbor (NN) Norms: NN Pattern Classification Techniques. IEEE Computer Society Press, Los Alamitos, California, 1991.

    Google Scholar 

  5. B.V. Dasarythy. Nosing around the neighborhood: A new system structure and classification rule for recognition in partially exposed environments. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-2(1):67–71, 1980.

    Article  Google Scholar 

  6. T. Denoeux. A k-nearest neighbor classification rule based on Dempster-Shafer Theory. IEEE Trans. Systems, Man, and Cybernetics, 25(5):804–813, 1995.

    Article  Google Scholar 

  7. D. Dubois, F. Esteva, P. Garcia, L. Godo, R. Lopez de Mantaras, and H. Prade. Fuzzy set modelling in case-based reasoning. Int. J. Intell. Syst., 13:345–373, 1998.

    Article  MATH  Google Scholar 

  8. D. Dubois and H. Prade. The three semantics of fuzzy sets. Fuzzy Sets and Systems, 90(2):141–150, 1997.

    Article  MATH  MathSciNet  Google Scholar 

  9. S. A. Dudani. The distance-weighted k-nearest-neighbor rule. IEEE Transactions on Systems, Man, and Cybernetics, SMC-6(4):325–327, 1976.

    Google Scholar 

  10. M. E. Hellman. The nearest neighbor classification rule with a reject option. IEEE Transactions on Systems, Man, and Cybernetics, SSC-6:179–185, 1970.

    Article  MathSciNet  Google Scholar 

  11. E. Hüllermeier. Toward a probabilistic formalization of case-based inference. Proc. IJCAI-99, pages 248–253, 1999.

    Google Scholar 

  12. E. Hüllermeier, D. Dubois, and H. Prade. Knowledge-based extrapolation of cases: A possibilistic approach. In Proceedings IPMU-2000, 2000. To appear.

    Google Scholar 

  13. M. Jaczynski and B. Trousse. Fuzzy logic for the retrieval step of a case-based reasoner. In Proc. EWCBR-94, pages 313–321, 1994.

    Google Scholar 

  14. D. Kibler and D. W. Aha. Instance-based prediction of real-valued attributes. Computational Intelligence, 5:51–57, 1989.

    Article  Google Scholar 

  15. P. Myllymäki and H. Tirri. Bayesian case-based reasoning with neural networks. Proc. IEEE Int. Conf. Neural Networks, pages 422–427, 1993.

    Google Scholar 

  16. E. Plaza, F. Esteva, P. Garcia, L. Godo, and R. Lopez de Mantaras. A logical approach to case-based reasoning using fuzzy similarity relations. Journal of Information Sciences, 106:105–122, 1998.

    Article  MATH  Google Scholar 

  17. R.R. Yager. Case-based reasoning, fuzzy systems modelling and solution composition. Proc. ICCBP-97, pages 633–643, 1997.

    Google Scholar 

  18. L.A. Zadeh. A fuzzy-set theoretic interpretation of linguistic hedges. J. Cybernetics, 2(3):4–32, 1972.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dubois, D., Hüllermeier, E., Prade, H. (2000). Flexible Control of Case-Based Prediction in the Framework of Possibility Theory. In: Blanzieri, E., Portinale, L. (eds) Advances in Case-Based Reasoning. EWCBR 2000. Lecture Notes in Computer Science, vol 1898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44527-7_7

Download citation

  • DOI: https://doi.org/10.1007/3-540-44527-7_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67933-2

  • Online ISBN: 978-3-540-44527-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics