Skip to main content

An Efficient Algorithm for Reasoning about Fuzzy Functional Dependencies

  • Conference paper
Advances in Computational Intelligence (IWANN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6692))

Included in the following conference series:

Abstract

A sound and complete Automated Prover for the Fuzzy Simplification Logic (FSL logic) is introduced and based on it a method for efficiently reasoning about fuzzy functional dependencies over domains with similarity relations. The complexity of the algorithm is the same as that of equivalent algorithms for crisp functional dependencies that appear in the literature.

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 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.

References

  1. Raju, K.V.S.V.N., Majumdar, A.K.: Fuzzy functional dependencies and lossless join decomposition of fuzzy relational database systems. ACM Trans. Database Syst. 13, 129–166 (1988)

    Article  Google Scholar 

  2. Yahia, S.B., Ounalli, H., Jaoua, A.: An extension of classical functional dependency: dynamic fuzzy functional dependency. Information Sciences 119, 219–234 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  3. Cubero, J.C., Vila, M.A.: A new definition of fuzzy functional dependency in fuzzy relational databases. International Journal of Intelligent Systems 9, 441–448 (1994)

    Article  Google Scholar 

  4. Prade, H., Testemale, C.: Generalizing database realtional algebra for the treatment of incomplete or uncertain information and vague queries. Information Sciences 34, 115–143 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  5. Sózat, M.I., Yazici, A.: A complete axiomatization for fuzzy functional and multivalued dependencies in fuzzy database relations. Fuzzy Sets and Systems 117, 161–181 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  6. Tyagi, B., Sharfuddin, A., Dutta, R., Tayal, D.K.: A complete axiomatization of fuzzy functional dependencies using fuzzy function. Fuzzy Sets and Systems 151, 363–379 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  7. Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P.: Reasoning about fuzzy functional dependencies. In: XIV Spanish Conference on Fuzzy Logic and Technology, pp. 121–126 (2008)

    Google Scholar 

  8. Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P.: SLFD logic: Elimination of data redundancy in knowledge representation. In: Garijo, F.J., Riquelme, J.-C., Toro, M. (eds.) IBERAMIA 2002. LNCS (LNAI), vol. 2527, pp. 141–150. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  9. Aguilera, G., Cordero, P., Enciso, M., Guzmán, I.P., Mora, A.: A non-explosive treatment of functional dependencies using rewriting logic. In: Bazzan, A.L.C., Labidi, S. (eds.) SBIA 2004. LNCS (LNAI), vol. 3171, pp. 31–40. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  10. Mora, Á., Enciso, M., Cordero, P., de Guzmán, I.P.: An efficient preprocessing transformation for functional dependencies sets based on the substitution paradigm. In: Conejo, R., Urretavizcaya, M., Pérez-de-la-Cruz, J. (eds.) CAEPIA/TTIA 2003. LNCS, vol. 3040, pp. 136–146. Springer, Heidelberg (2004)

    Google Scholar 

  11. Cordero, P., Enciso, M., Mora, A., Guzmán, I.P.: A complete logic for fuzzy functional dependencies over domains with similarity relations. In: Proceedings of the 10th International Work-Conference on Artificial Neural Networks: Part I: Bio-Inspired Systems: Computational and Ambient Intelligence IWANN 2009, pp. 261–269 (2009)

    Google Scholar 

  12. Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P.: A complete logic for fuzzy functional dependencies over t-norms. In: XV Spanish Conference on Fuzzy Logic and Technology, pp. 205–210 (2010)

    Google Scholar 

  13. Belohlavek, R., Vychodil, V.: Codd’s relational model of data and fuzzy logic: Comparisons, observations, and some new results. In: International Conference on Computational Intelligence for Modelling, Control and Automation, 2006 and International Conference on Intelligent Agents, Web Technologies and Internet Commerce, p. 70 (2006)

    Google Scholar 

  14. Paredaens, J., De Bra, P., Gyssens, M., Van Gucht, D.: The structure of the relational database model. Springer, New York (1989)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cordero, P., Enciso, M., Mora, A., de Guzmán, I.P., Rodríguez-Jiménez, J.M. (2011). An Efficient Algorithm for Reasoning about Fuzzy Functional Dependencies. In: Cabestany, J., Rojas, I., Joya, G. (eds) Advances in Computational Intelligence. IWANN 2011. Lecture Notes in Computer Science, vol 6692. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21498-1_52

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21498-1_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21497-4

  • Online ISBN: 978-3-642-21498-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics