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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 18 | Number 1 | Year 2015 | Article Id. IJMTT-V18P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V18P506

Soft g* - closed sets in Soft Topological Spaces


A.Devika, L.Elvina Mary
Abstract

The focus of this paper is to introduce Soft g*-closed sets in soft topological spaces which are defined over an initial universe with a fixed set of parameters. Moreover we investigate the relationship of soft g*- closed sets with other soft closed sets. Further the new separation axioms namely soft T1/2*-space and soft *1/2T-space are introduced and its basic properties are discussed

Keywords
soft g*-closed , soft g*-open, soft T1/2*-space , soft *1/2T-space.
References

[1] I.Arockiarani and A.Arockia Lancy,Generalized soft closed sets and soft closed sets in soft topological spaces,International Journal of Mathematical Archive-4(2),2013,17-23.
[2] I.Arockiarani and A.Arockia Lancy, soft separation axioms,International Journal of Mathematical Reseach and Science(IJMRS)Vol.I issue 5,October-2013
[3] K.Kannan,”Soft generalized closed sets in soft topological spaces”,Journal of Theoretical and applied Information Technology,Vol.37(2012),17-20.
[4] N.Levine ,”On generalized closed sets in topology”,Rend.Circ.Math.Palermo,19(2)(1970),89-96
[5] P.K.Maji, R.Biswas and A.R.Roy,” Soft set theory, Computers and Mathematics with applications 45(2003), 555-562.
[6] D.Molodstov ,” Soft set theory-first results”, Computers and Mathematics with applications (1999), 19-31.
[7] Muhammad Shabir and Munazza Naz,”On soft topological spaces”, Computers and Mathematics with applications, (2011),Vol.61,issue 7,1786-1799.
[8] Saziye Yuksel,Naime Tozlu,Zehra Guzel Ergul ,”Soft Regular Generalized Closed sets in soft topological spaces “,Int.Journal of Math Analysis,Vol.*,No.8,pp.355-367,2014.
[9] A.Selvi and I.Arockiarani “Soft -closed sets in soft topological spaces” 79th Annual Conference of Indian Mathematical Society, Decembet 28-31,2013.

Citation :

A.Devika, L.Elvina Mary, "Soft g* - closed sets in Soft Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 18, no. 1, pp. 32-39, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V18P506

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