Skip to main content

Neutrosophic Soft e-Open Maps, Neutrosophic Soft e-Closed Maps and Neutrosophic Soft e-Homeomorphisms in Neutrosophic Soft Topological Spaces

  • Conference paper
  • First Online:
Mathematical Methods for Engineering Applications (ICMASE 2021)

Abstract

In this article, the concepts of \(N_{s}S e\)-open and \(N_{s}S e\)-closed mappings in neutrosophic soft topological spaces are introduced and their related properties are studied. Also, the work is developed to \( N_{s}S \) homeomorphism, \(N_{s}S e\)-homeomorphism, \(N_{s}S e\)-C homeomorphism and \(N_{s}S e T_{\frac{1}{2}}\)-space and some of their characteristics are discussed.

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 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
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

References

  1. Zadeh, L.A.: Fuzzy sets. Information and control. 8, 338–353 (1965).

    Google Scholar 

  2. Chang, C.L.: Fuzzy topological space. J. Math. Anal. Appl. 24, 182–190 (1968).

    Google Scholar 

  3. Atanassov, K., Stoeva, S.: Intuitionistic fuzzy sets, in : polish symp. on interval and fuzzy mathematics. Poznan. 23–26 (1983).

    Google Scholar 

  4. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986).

    Google Scholar 

  5. Atanassov, K.: Review and new results on intuitionistic fuzzy sets. Preprint IM-MFAIS. Sofia, 1–88 (1988).

    Google Scholar 

  6. Coker, D.: An introduction to intuitionistic topological spaces. Fuzzy Sets Syst. 88, 81–89 (1997).

    Google Scholar 

  7. Molodtsov, D.: Soft set theory-first results. Comput. Math. Appl. 37, 19–31 (1999).

    Google Scholar 

  8. Shabir, M., Naz, M.: On soft topological spaces. Comput. Math. Appl. 61, 1786–1799 (2011).

    Google Scholar 

  9. Smarandache, F.: Neutrosophic set: A generalization of the intuitionistic fuzzy sets. Inter. J. Pure Appl. Math. 24, 287–297 (2005).

    Google Scholar 

  10. Salama, A.A., Alblowi, S.A.: Neutrosophic Set and Neutrosophic Topological Spaces. IOSR Journal of Mathematics. 3 (4), 31–35 (2012).

    Google Scholar 

  11. Maji, P.K.: Neutrosophic soft set. Ann. Fuzzy Math. Inform. 5, 157–168 (2013).

    Google Scholar 

  12. Deli, I., Broumi, S.: Neutrosophic soft relations and some properties. Ann. Fuzzy Math. Inform. 9, 169–182 (2015).

    Google Scholar 

  13. Bera, T., Mahapatra, N.K.: Introduction to neutrosophic soft topological space. Opsearch. 54, 841–867 (2017).

    Google Scholar 

  14. Saha, S.: Fuzzy \( \delta \)-continuous mappings. J. Math. Anal. Appl. 126, 130–142 (1987).

    Google Scholar 

  15. Vadivel, A., Seenivasan, M., John Sundar, C.: An introduction to \( \delta \)-open sets in a neutrosophic topological spaces. J. Phys. Conf. Ser. 1724, 012011 (2021).

    Google Scholar 

  16. Acikgoz, A., Esenbel, F.: Neutrosophic soft \( \delta \)-topology and neutrosophic soft compactness. AIP Conf. Proc. 2183, 030002 (2019).

    Google Scholar 

  17. Ekici, E.: On \( e \)-open sets, \( \cal{DP^\star }\)-sets and \( \cal{DP} \!\bullet ^\star \)-sets and decomposition of continuity. Arab J Sci Eng. 33 (2A), 269–282 (2008).

    Google Scholar 

  18. Seenivasan, V., Kamala, K.: Fuzzy \( e \)-continuity and fuzzy \( e \)-open sets. Ann. Fuzzy Math. Inform. 8, 141–148 (2014).

    Google Scholar 

  19. Chandrasekar, V., Sobana, D., Vadivel, A.: On Fuzzy \( e \)-open Sets, fuzzy \( e \)-continuity and fuzzy \( e \)-compactness in intuitionistic fuzzy topological spaces. Sahand Communications in Mathematical Analysis (SCMA). 12 (1), 131–153 (2018).

    Google Scholar 

  20. Vadivel, A., John Sundar, C., Thangaraja, P.: Neutrosophic \(e\)-open sets in a neutrosophic topological spaces (Submitted).

    Google Scholar 

  21. Revathi, P., Chitirakala, K., Vadivel, A.: Neutrosophic Soft \( e \)-open sets in Neutrosophic Soft Topological Spaces (Submitted).

    Google Scholar 

  22. Vadivel, A., Thangaraja, P., John Sundar, C.: Neutrosophic \( e \)-Continuous Maps and Neutrosophic \( e \)-Irresolute Maps. TURCOMAT. 12 (1S), 369–375 (2021).

    Google Scholar 

  23. Vadivel, A., Thangaraja, P., John Sundar, C.: Neutrosophic \( e \)-Open Maps, Neutrosophic \( e \)-Closed Maps and Neutrosophic \( e \)-Homeomorphisms in Neutrosophic Topological Spaces (Submitted).

    Google Scholar 

  24. Revathi, P., Chitirakala, K., Vadivel, A.: Neutrosophic Soft \( e \)-Continuous Maps and Neutrosophic Soft \( e \)-Irresolute Maps (Submitted).

    Google Scholar 

  25. Ebenanjar, P.E., Immaculate, H.J., Sivaranjani, K.: Introduction to neutrosophic soft topological spatial region. Neutrosophic Sets and Systems. 31, 297–304 (2020).

    Google Scholar 

  26. Aras, C.G., Sadi Bayramov, S.: Neutrosophic Soft Continuity in Neutrosophic Soft Topological Spaces. Filomat. 34:10, 3495–3506 (2020).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Revathi, P., Chitirakala, K., Vadivel, A. (2022). Neutrosophic Soft e-Open Maps, Neutrosophic Soft e-Closed Maps and Neutrosophic Soft e-Homeomorphisms in Neutrosophic Soft Topological Spaces. In: Yilmaz, F., Queiruga-Dios, A., Santos Sánchez, M.J., Rasteiro, D., Gayoso Martínez, V., Martín Vaquero, J. (eds) Mathematical Methods for Engineering Applications. ICMASE 2021. Springer Proceedings in Mathematics & Statistics, vol 384. Springer, Cham. https://doi.org/10.1007/978-3-030-96401-6_4

Download citation

Publish with us

Policies and ethics