On Soft πgb-Continuous Functions in Soft Topological Spaces

C.Janaki; D.Sreeja

doi:https://doi.org/10.14445/22315373/IJMTT-V10P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 10 | Number 1 | Year 2014 | Article Id. IJMTT-V10P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V10P501

On Soft πgb-Continuous Functions in Soft Topological Spaces

C.Janaki , D.Sreeja

Abstract

The aim of this paper is to define and study the concepts of soft πgb-continuous function, soft πgb-irresolute function on soft topological spaces. Also we have introduced the concept soft πgb-closure and soft πgb-interior. Further relationship between soft πgb-continuous function with other soft continuous functions are established.

Keywords

soft set, soft topology, soft πgb-interior, soft πgb closure, soft continuous, soft irresolute.

References

[1] I. Arockiarani, A. A. Lancy, Generalized soft g β-closed sets and soft gsβ_-closed sets in soft topological spaces, International Journal of Mathematical Archive, 4(2013),1-7
[2] Bin Chen, “Soft semi-open sets and related properties in soft topological spaces”, Appl.Math.Inf.Sci.7, No.1,287-294(2013).
[3] Cigdem Gunduz Aras, Ayse Sonmez and Huseyin Cakalli, “ On Soft mappings”, Xiv: 1305. 4545 ,v1 [math. GM], May 2013.
[4] F. Feng, Y.B. Jun, X. Zhao, Soft semi rings, Computers and Mathematics with Applications, (2008), 2621-2628
[5] S. Hussain, B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications,62(2011),4058-4067.
[6] Janaki.C and Jeyanthi.V, “On Soft πgr-continuous functions in soft topological spaces”, International Journal of Engineering Research & Technology ,Vol. 3 Issue 2, February-2014, ISSN: 2278-0181
[7] K.Kannan “Soft generalized closed sets in topological spaces”, Journal of Theoretical and Applied Information Technology, Mar 2012, Vol.37, No 1.17-21.
[8] Kharal. A, Ahmad.B, “Mappings of Soft classes”, New Math .Nat Comput., 7(3), (2011), 471- 481.
[9] N. Levine, “On Generalized Closed Sets in Topology”, Rend. Circ. Math. Palermo, 19(2) (1970) 89-96.
[10] P.K. Maji, R.Biswas , R.Roy, “An application of soft sets in a decision making problem”, Comput. Math. Appl.,Vol.45, 2003, pp.1077-1083.
[11] D. Molodtsov, Soft set theory-First results, Computers and Mathematics with Applications, 37(1999), 19-31
[12] Molodtsov.D, “Soft set theory first results”, Comput. Ath. Appl., Vol.45, 2003, pp.555- 562.
[13] Muhammad Shabir, Munazza Naz, “On soft topological spaces”, Comput. Math. Appl.,Vol. 61, 2011, pp. 1786-1799.
[14] J. Mahanta, P. K. Das, On soft topological space via semi open and semi closed soft sets, arXiv:1203.4133, (2012).
[15] M.Shabir and M.Naz ,”On Soft topological spaces”, Comp. And Math. with applications Vol.61,no.7,pp 1786-1799,2011.
[16] Yumak, A. K. Kaymakci, Soft β-open sets and their applications, arxiv:1312.6964v1 [math.gn] 25 dec 2013.

Citation :

C.Janaki , D.Sreeja, "On Soft πgb-Continuous Functions in Soft Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 10, no. 1, pp. 1-11, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V10P501