On the Invariant Points in Topological Spaces

Authors

  • Poonam Sondhi  Department of Mathematics, Dr. C. V. Raman University, Bilaspur, Chhattisgarh, India
  • Surendra Kumar Tiwari  Department of Mathematics, Dr. C. V. Raman University, Bilaspur, Chhattisgarh, India
  • Sunil Kumar Kashyap  Department of Mathematics, Dr. C. V. Raman University, Bilaspur, Chhattisgarh, India

Keywords:

Topological space, Fuzzy set, Fuzzy points.

Abstract

This paper presents the topological space over fuzzy set. There are the fuzzy points. The open set is reviewed here to develop this result. The collection of subsets of the set of the topological space is generalised in this paper. The fuzzy topological space and its operation are used in fuzzy points. The order of the subset of the topological space will be even is proved also in this paper.

References

  1. M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir: On some new operations in soft set theory. Comput. Math. Appl. 57 (2009), 1547-1553.
  2. A. Aygunoglu and H. Aygun: Some notes on soft topological spaces. Neural. Comput. Appl. (2011), 1-7.
  3. N. C¸ agman and ' S. Enginoglu: Soft set theory and uni¢int decision making. Europ. J. Operat. Res. 207 (2010), 848-855.
  4. N. C¸ agman and ' S. Enginoglu: Soft matrix theory and its decision making. Comput. Math. Appl., 59 (2010), 3308-3314.
  5. D. Chen: The parametrization reduction of soft sets and its applications. Computers and Mathematics with Applications. 49 (2005), 757-763.
  6. A. C ´ sasz ´ ar´ : Generalized topology, generalized countiniuty. Acta. Math. Hungar. 96 (2002), 351-357.
  7. S. Hussain and B. Ahmad: Some properties of soft topological spaces. Comput. Math. Appl. 62 (2011), 4058-4067.
  8. P. K. Maji, R. Biswas and A. R. Roy: An application of soft sets in a decision making problem. Computers and Mathematics with Applications. 44 (2002), 1077-1083
  9. P. K. Maji, R. Biswas and A. R. Roy: Soft set theory. Comput. Math. Appl. 45 (2003), 555-562.
  10. W. K. Min: A note on soft topological spaces. Comput. Math. Appl. 62 (2011), 3524-3528.
  11. D. A. Molodtsov: Soft set theory-first results. Comput. Math. Appl. 37 (1999), 19-31.
  12. D. A. Molodtsov, V. Y. Leonov and D. V. Kovkov: Soft sets technique and its application. NechetkieSistemyiMyagkieVychisleniya. 1 (2006), 8-39.
  13. J. Munkres: Topology. Prentice-Hall, Englewood Cliffs, NJ, 2000.
  14. D. Pie and D. Miao: From soft sets to information systems. in: Granular computing, IEEE Inter. Conf. 2005, pp. 617-621.
  15. E. Peyghan, B. Samadi and A. Tayebi: About soft topological spaces. Journal of New Results in Science. 2 (2013), 60-75.
  16. M. Shabir and M. Naz: On soft topological spaces. Comput. Math. Appl. 61 (2011), 1786-1799.
  17. I. Zorlutuna, M. Akdag, W. K. Min and S. Atmaca: Remarks on soft topological spaces. Annal. Fuzzy. Math. Inform. 3 (2012), 171-18

IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2017-10-31

Issue

Volume 2, Issue 5, September-October-2017

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Poonam Sondhi, Surendra Kumar Tiwari, Sunil Kumar Kashyap, " On the Invariant Points in Topological Spaces, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 2, Issue 5, pp.627-629, September-October-2017.