Skip to main content
SpringerLink
Log in
Book cover

International Conference on Rough Sets and Knowledge Technology

RSKT 2014: Rough Sets and Knowledge Technology pp 39–48Cite as

On the Topological Structure of Rough Soft Sets

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8818))

Abstract

The concept of rough soft set is introduced to generalize soft sets by using rough set theory, and then the soft topologies on soft sets are introduced.

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

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ali, M.I., Feng, F., Xiaoyan, L., Min Won, K., Sabir, M.: On some new operations in soft set theory. Computers and Mathematics with Applications 57, 1547–1553 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  2. Ali, M.I.: A note on soft sets, rough soft sets and fuzzy soft sets. Applied Soft Computing 11, 3329–3332 (2011)

    Article  Google Scholar 

  3. Aygunoglu, A., Aygun, H.: Introduction to fuzzy soft groups. Computers and Mathematics with Applications 58, 1279–1286 (2009)

    Article  MathSciNet  Google Scholar 

  4. Aygunoglu, A., Aygun, H.: Some notes on soft topological spaces. Neural computing and Applications 21, 113–119 (2012)

    Article  Google Scholar 

  5. Babitha, K.V., Sunil, J.J.: Soft set relations and functions. Computers and Mathematics with Applications 60, 1840–1849 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  6. Broumi, S., Majumdar, P., Smarandache, F.: New operations on intuitionistic fuzzy soft sets based on second Zadeh’s logical operators. International Journal of Information Engineering and Electronic business 1, 25–31 (2014)

    Article  Google Scholar 

  7. Cagman, N., Karatas, S., Enginoglu, S.: Soft topology. Computers and Mathematics with Applications 62, 351–358 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  8. Dan, M., Zhang, X., Qin, K.: Soft rough fuzy sets and soft fuzy rough sets. Computers and Mathematics with Applications 62, 4635–4645 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  9. Feng, F.: Soft rough sets applied to multicriteria group decision making. Annals of Fuzzy Mathematics and Informatics 2, 69–80 (2011)

    MathSciNet  Google Scholar 

  10. Feng, F., Jun, Y.B., Zhao, X.Z.: Soft semirings. Computers and Mathematics with Applications 56, 2621–2628 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  11. Feng, F., Liu, X., Fotea, V.L., Jun, Y.B.: Soft sets and soft rough sets. Information Sciences 181, 1125–1137 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  12. Georgiou, D.N., Megaritis, A.C.: Soft set theory and topology. Applied General Topology 15, 93–109 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  13. Jun, Y.B.: Soft BCK/BCI-algebras. Computers and Mathematics with Applications 56, 1408–1413 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Jun, Y.B., Park, C.H.: Applications of soft sets in ideal theory of BCK/BCI-algebras. Information Sciences 178, 2466–2475 (2008)

    MathSciNet  MATH  Google Scholar 

  15. Kondo, M.: On the structure of generalized rough sets. Information Sciences 176, 586–600 (2006)

    Article  Google Scholar 

  16. Maji, P.K., Roy, A.R.: An application of soft sets in decision making problem. Computers and Mathematics with Applications 44, 1077–1083 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  17. Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Computers and Mathematics with Applications 45, 552–562 (2003)

    Article  MathSciNet  Google Scholar 

  18. Molodtsov, D.A.: Soft set theory-first results. Computers and Mathematics with Applications 37, 19–31 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  19. Molodtsov, D.A., Leonov, V.Y., Kovkov, D.V.: Soft sets technique and its application. Nechetkie Sistemy i Myagkie Vychisleniya 1, 8–39 (2006)

    Google Scholar 

  20. Pawlak, Z.: Rough sets. International Journal of Computer and Information Sciences 11, 341–356 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  21. Pawlak, Z., Skowron, A.: Rudiments of rough sets. Information Sciences 177, 7–27 (2007)

    Google Scholar 

  22. Pei, D., Miao, D.: From soft set to information systems. In: Proceedings of the IEEE International Conference on Granular Computing, vol. 2, pp. 617–621 (2005)

    Google Scholar 

  23. Polkowaski, L.: Rough sets. Mathematical Foundations. Springer, Berlin (2002)

    Book  Google Scholar 

  24. Qin, K., Yang, J., Pei, Z.: Generalized rough sets based on reflexive and transitive relations. Information Sciences 178, 4138–4141 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  25. Shabir, M., Naz, M.: On soft topological spaces. Computers and Mathematics with Applications 61, 1786–1799 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  26. Shabir, M., Ali, M.I., Shaheen, T.: Another approach to soft rough sets. Knowledge-Based Systems 40, 72–80 (2013)

    Article  Google Scholar 

  27. Sun, B., Ma, W.: Soft fuzzy rough sets and its application in decision making. Artificial Intelligence Review 41, 67–80 (2014)

    Article  Google Scholar 

  28. Yang, H.L., Guo, Z.L.: Kernels and Closures of soft set relations and soft set relation mappings. Computers and Mathematics with Applications 61, 651–662 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  29. Zhang, Z., Wang, C., Tian, D., Li, K.: A novel approach to interval-valued intuitionistic fuzzy soft set based decision making. Applied Mathematical Modeling 38, 1255–1270 (2014)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826004, India

    Vinay Gautam, Vijay K. Yadav & S. P. Tiwari

  2. I.T.S Engineering Collage, 46 Knowledge Park - III, Greater Noida, 201308, India

    Anupam K. Singh

Authors
  1. Vinay Gautam
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Vijay K. Yadav
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Anupam K. Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. P. Tiwari
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vinay Gautam .

Editor information

Editors and Affiliations

  1. Tongji University, Shanghai, China

    Duoqian Miao

  2. Department of Electrical and Computer En, University of Alberta, Edmonton, Alberta, Canada

    Witold Pedrycz

  3. University of Warsaw, Warsaw, Poland

    Dominik Ślȩzak

  4. University of Applied Sciences, München, Germany

    Georg Peters

  5. Tianjin University, Tianjin, China

    Qinghua Hu

  6. Tongji University, Shanghai, China

    Ruizhi Wang

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Gautam, V., Yadav, V.K., Singh, A.K., Tiwari, S.P. (2014). On the Topological Structure of Rough Soft Sets. In: Miao, D., Pedrycz, W., Ślȩzak, D., Peters, G., Hu, Q., Wang, R. (eds) Rough Sets and Knowledge Technology. RSKT 2014. Lecture Notes in Computer Science(), vol 8818. Springer, Cham. https://doi.org/10.1007/978-3-319-11740-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11740-9_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11739-3

  • Online ISBN: 978-3-319-11740-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation