Soft Igδs-Closed Functions

Authors

  • Y Rosemathy Research Scholar (Reg.No-18111072092002) The M.D.T Hindu College, Tirunelveli-627010, TamilNadu, India. (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India)
  • K Alli Department of Mathematics, The M.D.T Hindu College, Tirunelveli-627010, Tamil Nadu, India. (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627012, Tamil Nadu, India)

DOI:

https://doi.org/10.23755/rm.v44i0.912

Keywords:

soft sets, soft topological spaces, soft regular open, soft δ-cluster point, soft Igδs-closed functions, soft strongly Igδs-closed functions

Abstract

In this paper, we have introduced a new class of open and closed functions called soft Igδs-closed and soft Igδs-open functions in ideal topological spaces and also investigated some of its characterizations and properties with the existing sets.

References

B. Ahmad and A. Kharal, On fuzzy soft sets, Advances in Fuzzy Systems, (2009), 1-6.

H. Aktas and N. Cagman, Soft sets and soft groups, Information Sciences, 1(77) (2007), 2726-2735.

M. I. Ali, F. Feng, X. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications, 57(2009), 1547-1553.

N. Cagman, F. Citak and S. Enginoglu, Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy Systems, 1(1) (2010), 21-35.

N. Cagman and S. Enginoglu, Soft set theory and uni-int decision making, European Journal of Operational Research, 207(2010), 848-855.

S. Hussain and B. Ahmad, Some properties of soft topological spaces, Comput. Math. Appl., 62(2011), 4058- 4067.

S. Jeyashri, S. Tharmar and G. Ramkumar, International journal of mathematics trends and technology, 45(1) (2017), 28-34.

D. V. Kovkov, V. M. Kolbanov and D. A. Molodtsov, Soft sets theory-based optimization, Journal of Computer and Systems Sciences International, 46(6) (2007), 872-880.

P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, Journal of Fuzzy Mathematics, 9(3) (2001), 589-602.

P. K. Maji, R. Biswas and A. R. Roy, Intuitionistic fuzzy soft sets, Journal of Fuzzy Mathematics, 9(3) (2001), 677-691.

P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Computers and Mathematics with Applications, 45(2003), 555-562.

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

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

O Ravi, senthil kumar R & Hamari CHOUDHİ, Decompositions of Ï g-Continuity via Idealization, Journal of New Results in Science, Vol 7, Issue 3 (2014), 72-80

B. V. S. T Sai and V. Srinivasa Kumar, On soft semi-separability, International Journal of Mathematical Analysis, 7(84), 2013, 2663-2669.

S. Tharmar and R. Senthil Kumar, Soft Locally Closed Sets in Soft Ideal Topological Spaces, Vol 10, issue XXIV 2016 1593-1600

M. Shabir and M. Naz, On soft topological spaces, Comp. Math. Appl., 61(2011), 1786-1799.

S. Tharmar and V. Pandiyarasu, Soft codense and completely soft codense ideals, International Journal of Applied Engineering Research, 11(1) (2016), 508-511.

S. Yu¨ksel, N. Tozlu and Z. Gu¨zel Ergu¨l, Soft Regular Generalized closed sets in soft topological spaces, Int. J. Math. Analysis, 8(8) (2014), 355-367.

I. Zorlutuna, M. Akdag, W.K. Min and S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3(2012), 171-185.

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Published

2022-12-11

Issue

Vol. 44 (2022): Special Issue: Recent Trends in Mathematics and its Applications

Section

Volume 45-2023

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