Soft C-Sets and a Decomposition of Soft
Continuity in Soft Topological Spaces

Naime Tozlu; Şaziye Yüksel; Zehra Güzel Ergül

doi:https://doi.org/10.14445/22315373/IJMTT-V16P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 16 | Number 1 | Year 2014 | Article Id. IJMTT-V16P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V16P510

Soft C-Sets and a Decomposition of Soft Continuity in Soft Topological Spaces

Naime Tozlu, Şaziye Yüksel, Zehra Güzel Ergül

Citation :

Naime Tozlu, Şaziye Yüksel, Zehra Güzel Ergül, "Soft C-Sets and a Decomposition of Soft Continuity in Soft Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 16, no. 1, pp. 58-69, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V16P510

Abstract

In the present paper, we define some new concepts in soft topological spaces such as soft   -sets, soft C-sets. We introduce these concepts in soft topological spaces which are defined over an initial universe with a fixed set of parameters. We discuss their relationships with different types of subsets of soft topological spaces. We also investigate the concept of soft C-continuous functions and discuss their relationships with soft continuous and other forms of soft continuous functions. With the help of counterexamples, we show the noncoincidence of these various types of functions. Finally we give a decomposition of soft continuity.

Keywords

Soft set, Soft topological space, Soft -set, Soft C-set, Soft C-continuous function

References

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