On Soft Almost Paracompactness in Soft Topological Space

Authors

  • Bishnupada Debnath  Department of Mathematics, Tripura University, Suryamaninagar, Agartala, Tripura, India

Keywords:

Soft a-almost regular spaces, soft semi-regular spaces, soft almost paracompact spaces, soft -almost paracompact spaces.

Abstract

Recently, the author [25] introduced a new class spaces namely, soft nearly paracompact spaces and established some characterizations of these spaces. In this work, some new notions in soft space such as soft -almost regular spaces, soft almost paracompact spaces and soft -almost paracompact spaces are introduced. We also investigate some basic properties of these concepts and obtain several interesting results and characterizations of soft nearly compact and nearly paracompact spaces.

References

  1. Molodtsov,D.: Soft set theory-First results. Comput. Math. Appl. 37(4?5), 19?31 (1999).
  2. Shabir, M., Naz, M.: On soft topological spaces. Comput. Math. Appl. 61, 1786?1799 (2011).
  3. Zorlutuna, I., Akdag, M., Min, W.K., Atmaca, S.: Remarks on soft topological spaces. Ann. Fuzzy Math. Inf. 3(2), 171?185 (2012).
  4. Aygunoglu, A., Aygun, H: Some notes on soft topological spaces. Neural Comput. Appl. doi:10.1007/s00521-011-0722-3.
  5. Chen, B.: Soft semi-open sets and related properties in soft topological spaces. Appl. Math. Inf. Sci. 7(1), 287?294 (2013).
  6. ?Akdag, M., Ozkan, A: Soft b-open sets and soft b-continuous functions. Math. Sci. 8:124, DOI 10.1007/s40096-014-0124-71-7 (2014).
  7. Akdag, M., Ozkan, A: Soft a-open sets and soft a-continuous functions. Abstr. Appl. Anal. Art ID 891341, 1-7 (2014).
  8. ?A.S. Mashour and et al: On Supra Topological space, Indian J. Pure and Appl. Math., 4(4), 502-510 (1983).
  9. Kandil and et al: Supra Generalised Closed Sets with respect to an soft ideal in? supra soft topological spaces, Appl. Math.Infor.Science, 8(4),1731-1740 (2014).
  10. Yumak,Y., Kaymakc?, A.K: Soft b-open sets and their aplications.http://arxiv.org /abs/1312.6964V1[Math.GN] 25 Dec 2013.
  11. Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45, 555?562 (2003).
  12. Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M.: On some new operations in soft set theory. Comput. Math. Appl. 57, 1547?1553 (2009).
  13. Arockiarani, I., Arokialancy, A.: Generalized soft gb-closed sets and soft gsb-closed sets in soft topological spaces. Int. J. Math.? Arch. 4(2), 1?7 (2013).
  14. Kharal A., Ahmad B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471?481 (2011).
  15. Zorlutana, I., Akdag M., Min W.K., Atmaca S.: Remarks on Soft Topological Spaces. Annals of Fuzzy Mathematics and Informatics. 3(2),171-185(2012).
  16. Debnath, B.: On soft Maximal d-open (Minimal soft d-closed) Sets in Soft topological Spaces, International Journal of Computer Applications (Accepted).
  17. ?Kharal, A., Ahmad, B.: Mappings on soft classes. New Math. Nat. Comput. 7(3), 471?481 (2011).
  18. ?Z. Xiao, L. Chen, B. Zhong, S. Ye: Recognition for soft information based on the theory of soft sets? in: J. Chen (Ed.),
  19. Proceedings of ICSSSM-05, vol. 2, IEEE, 2005, pp. 1104-1106.
  20. D. Pei, D. Miao: From soft sets to information systems, in: X. Hu, Q. Liu, A. Skowron, T.Y. Lin, R.R. Yager, B. Zhang (Eds.), Proceedings of Granular Computing, vol. 2, IEEE, 2005, pp. 617-621.
  21. L. A. Zadeh, “Fuzzy Sets”, Inform. Control., Vol. 8, 1965, pp. 338-353.
  22. ?Z. Pawlak, “Rough Sets”, Int. Journal of Computer and Information Sciences, Vol. 11, 1982, pp. 341-356.
  23. M.K. Singal and A. Mathur, On Nearly compact Spaces-II, Bull. U. M. Ital. 4(9), 1974, pp 669-678.
  24. M.K. Singal and S.P. Arya, On Nearly paracompact Spaces, Matematicki Vesnik 6(21), 1969, pp 3-16.
  25. F. Lin, Soft Connected Space and Soft Paracompact Spaces, Int. J. Math., Computational, Physical, Electrical and Computer Engineering, Vol.7, No.2, 2013.
  26. Debnath B.: On soft nearly compact and soft nearly paracompactness in Soft topological Spaces, International Journal of? Innovative Research in Science, Engineering and Technology , Vol.6, No. 8,pp 15906-15914, August, 2017.

International Journal of Scientific Research in Science and Technology

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Published

2017-10-31

Issue

Volume 3, Issue 7, September-October-2017

Section

Research Articles

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How to Cite

[1]
Bishnupada Debnath "On Soft Almost Paracompactness in Soft Topological Space" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 3, Issue 7, pp.555-561, September-October-2017.