Skip to main content

A Generalization of Near Set Model

  • Conference paper
Rough Sets and Knowledge Technology (RSKT 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6954))

Included in the following conference series:

Abstract

In the classical near set model, the probe functions described by a single assertion (feature) subset, which are established through a single granulation from the view of granular computing. In this work, we aim to extend Peters’s near set model to a multi-granulation near set model, in which the probe functions are some expression of the set of assertions (features) logically compounded under logic operation “or”. Moreover, near lower and upper approximations are defined by using the neighborhoods based on AFS description logics.

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. Anwar, S., Patnaik, K.S.: Actor critic learning: A near set approach. In: Chan, C.C., Grzymala-Busse, J.W., Ziarko, W.P. (eds.) RSCTC 2008. LNCS (LNAI), vol. 5306, pp. 252–261. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  2. Hassanien, A.E., Abraham, A., Peters, J.F., et al.: Rough sets and near sets in medical imaging: a review. IEEE T. Inf. Technol. B 13(6), 955–968 (2009)

    Article  Google Scholar 

  3. Liu, X.D.: The fuzzy theory based on AFS algebras and AFS structure. J. Math. Anal. Appl. 217(2), 459–478 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  4. Liu, X.D., Pedrycz, W.: Axiomatic fuzzy set theroy and its applications. Springer, Heidelberg (2009)

    Book  MATH  Google Scholar 

  5. Peters, J.F.: Near sets. Special theory about nearness of objects. Fundam. Inform. 75(1-4), 407–433 (2007)

    MathSciNet  MATH  Google Scholar 

  6. Peters, J.F.: Near sets. Toward approximation space-based object recognition. In: Yao, J., Lingras, P., Wu, W., Szczuka, M.S., Cercone, N.J., Ślęzak, D. (eds.) RSKT 2007. LNCS (LNAI), vol. 4481, pp. 22–33. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  7. Peters, J.F., Skowron, A., Strpaniuk, J.: Nearness of objects: extension of approximaion space model. Fundam. Inform. 79(3-4), 497–512 (2007)

    Google Scholar 

  8. Peters, J.F.: Near sets. General theory about nearness of objects. Appl. Math. Sci. 1(53), 2609–2029 (2007)

    Google Scholar 

  9. Peters, J.F.: Classification of perceptual objects by means of features. Int. J. IT&IC 3(2), 1–35 (2008)

    Google Scholar 

  10. Peters, J.F., Wasilewski, P.: Foundations of near sets. Inf. Sci. 179(18), 3091–3109 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  11. Qian, Y.H., Liang, J.Y., Dang, C.Y.: Incomplete Multigranulation Rough Set. IEEE T. Syst. Man. Cy. A 40(2), 420–430 (2010)

    Article  Google Scholar 

  12. Qian, Y.H., Liang, J.Y., Yao, Y.Y., Dang, C.Y.: MGRS: A multi-granulation rough set. Inf. Sci. 180(6), 949–970 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  13. Wang, L.D., Liu, X.D., Cao, J.N.: A new algebraic structure for formal concept analysis. Inf. Sci. 180(24), 4865–4876 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Xu, X.L., Liu, X.D., Chen, Y.: Applications of axiomatic fuzzy set clustering method on management strategic analysis. Eur. J. Oper. Res. 198(1), 297–304 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  15. Zhou, B., Yao, Y.Y.: A Logic Approach to Granular Computing. Int. J. Cogn. Inform. Natl. Intell. 2, 63–79 (2008)

    Article  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

Wang, L., Liu, X., Tian, X. (2011). A Generalization of Near Set Model. In: Yao, J., Ramanna, S., Wang, G., Suraj, Z. (eds) Rough Sets and Knowledge Technology. RSKT 2011. Lecture Notes in Computer Science(), vol 6954. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24425-4_70

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24425-4_70

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24424-7

  • Online ISBN: 978-3-642-24425-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics