Skip to main content

Possibilistic Logic: A Theoretical Framework for Multiple Source Information Fusion

  • Chapter
Book cover Soft Computing in Measurement and Information Acquisition

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 127))

Abstract

The problem of merging or combining multiple sources information is central in many information processing areas such as databases integrating problems, expert opinion pooling, preference aggregation, etc. Possibilistic logic offers a qualitative framework for representing pieces of information associated with levels of uncertainty or priority. This paper discusses the fusion of multiple sources information in this setting. Different classes of merging operators are considered, at the semantic and the syntactic level, including conjunctive, disjunctive, reinforcement, adaptive and averaging operators. This framework appears to be the syntactic counterpart of the pointwise aggregation of possibility distributions or fuzzy sets.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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. M.A. Abidi, R.C. Gonzalez (Eds.). Data Fusion in Robotics and Machine Intelligence. Academic Press, New York.

    Google Scholar 

  2. C. Baral, S. Kraus, J. Minker, Subrahmanian. Combining knowledge bases consisting in first order theories, Computational Intelligence, 8 (1), 45–71, 1992.

    Article  Google Scholar 

  3. S. Benferhat, D. Dubois, S. Kaci, H. Prade. Encoding information fusion in possibilistic logic: A general framework for rational syntactic merging. In Proceedings of 14`h ECAI, 3–7, 2000.

    Google Scholar 

  4. S. Benferhat, D. Dubois, H. Prade. How to infer from inconsistent beliefs without revising ? In Proceedings of 14°h IJCAI, 20–25, 1449–1455, 1995.

    Google Scholar 

  5. S. Benferhat, D. Dubois, H. Prade. From semantic to syntactic approaches to information combination in possibilistic logic, Aggregation and Fusion of Imperfect Information (B. Bouchon-Meunier, Ed.), Physica-Verlag, Heidelberg, Germany, 141–161, 1997.

    Google Scholar 

  6. S. Benferhat, D. Dubois, H. Prade, M. Williams, A practical approach to fusing and revising prioritized belief bases. In Proceedings of EPIA 99. LNAI n° 1695, Springer Verlag, 222–236.

    Google Scholar 

  7. B. Bouchon-Meunier, Ed. Aggregation and Fusion of Imperfect Information, Physica-Verlag, 1997.

    Google Scholar 

  8. L. Cholvy. A logical approach to multi-sources reasoning. In Applied Logic Conference: Logic at Work, Amsterdam

    Google Scholar 

  9. D. Dubois, J. Lang, H. Prade, Possibilistic logic. In Handbook of Logic in Artificial Intelligence and Logic Programming, Vol. 3, 439–513, 1994.

    Google Scholar 

  10. D. Dubois, H. Prade. Possibility theory and data fusion in poorly informed environments, Control Engineering Practice, 2 (5), 811–823, 1994.

    Article  Google Scholar 

  11. D. Dubois, H. Prade, R. Yager. Merging fuzzy information, Fuzzy Sets in Approximative Reasoning and Information Systems, (J.C. Bezdek, D. Dubois, H. Prade Eds.). The Handbboks of Fuzzy Sets Series, Kluwer Academic Publisher, Dordrecht, 335–401, 1999.

    Google Scholar 

  12. J. Flamm, T. Luisi (Eds.) Reliability Data and Analysis. Kluwer Academic Publishers.

    Google Scholar 

  13. M. Grabisch, S. Orlovski, R. Yager. Fuzzy aggregations of numerical preferences, Fuzzy Sets in Decision Analysis, Operations Research and Statistics, (R. Slowinski, Ed). The Handbooks of Fuzzy Sets Series, Kluwer Academic Publishers, Dordrecht, 31–68, 1998.

    Google Scholar 

  14. J. Kacprzyk, H. Nurmi. Group decision making under fuzziness, Fuzzy Sets in Decision Analysis, Operations Research and Statistics, (R. Slowinski Ed.). The Handbooks of Fuzzy Sets Series, Kluwer Academic Publisher, Dordrecht, The Netherlands, 103–136, 1998.

    Google Scholar 

  15. S. Konieczny, R.Pino Pérez, On the logic of merging. In Proceedings of the 6th International Conference on Principles of Knowledge Representation and Reasoning (KR’98), 488–498, 1998.

    Google Scholar 

  16. S. Konieczny, R. Pino Pérez, Merging with integrity constraints. In Proceedings of ECSQARU’99, LNAI n° 1638, Springer Verlag, 233–244, 1999.

    Google Scholar 

  17. J. Lin, Integration of weighted knowledge bases, Artificial Intelligence 83, 363378, 1996.

    Google Scholar 

  18. J. Lin, A.O. Mendelzon, Merging databases under constraints,1998. International Journal of Cooperative Information Systems, 7 (1): 55–76, 1998.

    Article  Google Scholar 

  19. P. Z. Revesz. On the semantics of theory change: arbitration between old and new information. Proceedings of the 12th ACM SIGACT-SIGMOD-SIGART symposium on Principles of Databases, 71–92, 1993.

    Google Scholar 

  20. P. Z. Revesz. On the semantics of arbitration. International Journal of Algebra and Computation, 7 (2), 133–160, 1997.

    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

© 2003 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kaci, S., Benferhat, S., Dubois, D., Prade, H. (2003). Possibilistic Logic: A Theoretical Framework for Multiple Source Information Fusion. In: Reznik, L., Kreinovich, V. (eds) Soft Computing in Measurement and Information Acquisition. Studies in Fuzziness and Soft Computing, vol 127. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36216-6_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-36216-6_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-53509-3

  • Online ISBN: 978-3-540-36216-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics