Skip to main content

Attribute Reduction Using Functional Dependency Relations in Rough Set Theory

  • Conference paper
  • First Online:
Rough Sets (IJCRS 2021)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12872))

Included in the following conference series:

Abstract

This paper presents some functional dependency relations defined on the attribute set of an information system. We establish some basic relationships between functional dependency relations, attribute reduction, and closure operators. We use the partial order for dependencies to show that reducts of an information system can be obtained from the maximal elements of a functional dependency relation.

This work was supported by Universidad Militar Nueva Granada’s VICEIN Special Research Fund, under project CIAS 3144-2020, and by the Odysseus program of the Research Foundation-Flanders.

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 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
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

References

  1. Armstrong, W.: Dependency structures of database relationships. In: Information Processing, pp. 580–583. North Holland Publishing (1974)

    Google Scholar 

  2. Blyth, T.S.: Lattices and Ordered Algebraic Structures. Universitext. Springer, London (2005). https://doi.org/10.1007/b139095

  3. Chiaselotti, G., Infusino, F., Notions from rough sets theory in a generalized dependency relation context. Int. J. Approx. Reason. 98, 25–61 (2018)

    Google Scholar 

  4. Greco, S., Matarazzo, B., Slowinski, R.: Rough sets theory for multicriteria decision analysis. Eur. J. Oper. Res. 129, 1–47 (2001)

    Google Scholar 

  5. Järvinen, J.: Lattice theory for rough sets. In: Peters, J.F., Skowron, A., Düntsch, I., Grzymała-Busse, J., Orłowska, E., Polkowski, L. (eds.) Transactions on Rough Sets VI. LNCS, vol. 4374, pp. 400–498. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-71200-8_22

  6. Matús, F.: Abstract functional dependency structures. Theor. Comput. Sci. 81, 117–126 (1991)

    Google Scholar 

  7. Pawlak Z.: Rough sets. Int. J. Comput. Inf. Sci. 11(5), 341–356 (1982)

    Google Scholar 

  8. Pawlak Z.: Information systems theoretical foundations. Inf. Syst. 6(3), 205–218 (1981)

    Google Scholar 

  9. Qu, Y., Fu, X.: Rough set based algorithm of discovering functional dependencies for relation database. In: 4th International Conference on Wireless Communications, Networking and Mobile Computing, Dalian, 2008, pp. 1–4 (2008). https://doi.org/10.1109/WiCom.2008.2526

  10. Novotný, M., Pawlak, Z.: Independence of attributes. Bull. Polish Acad. Sci. Math. 36, 459–465 (1988)

    Google Scholar 

  11. Novotný, M.: Dependence spaces of information systems. In: Orłowska, E. (ed.) Incomplete Information: Rough Set Analysis. Studies in Fuzziness and Soft Computing, vol. 13, pp. 193-246. Physica, Heidelberg (1998). https://doi.org/10.1007/978-3-7908-1888-8_7

  12. Rauszer, C.M.: An equivalence between indiscernibility relations in information systems and a fragment of intuitionistic logic. In: Skowron, A. (ed.) SCT 1984. LNCS, vol. 208, pp. 298–317. Springer, Heidelberg (1985). https://doi.org/10.1007/3-540-16066-3_25

  13. Restrepo M., Cornelis C., Attribute reduction from closure operators and matroids in Rough Set Theory. In: Bello, R., Miao, D., Falcon, R., Nakata, M., Rosete, A., Ciucci, D. (eds.) IJCRS 2020. LNAI, vol. 11499, pp. 183–192. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-52705-1_13

  14. Ślezak, D.: Rough sets and functional dependencies in data: foundations of association reducts. In: Gavrilova, M.L., Tan, C.J.K., Wang, Y., Chan, K.C.C. (eds.) Transactions on Computational Science V. LNCS, vol. 5540, pp. 182–205. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-642-02097-1_10

  15. Yang T., Li Q.: Reduction about approximation spaces of covering generalized rough sets. Int. J. Approx. Reason. 51, 335–345 (2010)

    Google Scholar 

  16. Zhang, B., Qian, S., Wei, C.: Research of reduct algorithm based on functional dependency. In: International Conference on Computer and Communication Technologies in Agriculture Engineering, Chengdu, 2010, pp. 312–315 (2010). https://doi.org/10.1109/CCTAE.2010.5543312

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mauricio Restrepo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Restrepo, M., Cornelis, C. (2021). Attribute Reduction Using Functional Dependency Relations in Rough Set Theory. In: Ramanna, S., Cornelis, C., Ciucci, D. (eds) Rough Sets. IJCRS 2021. Lecture Notes in Computer Science(), vol 12872. Springer, Cham. https://doi.org/10.1007/978-3-030-87334-9_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-87334-9_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-87333-2

  • Online ISBN: 978-3-030-87334-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics