S ̃p_c-OPEN SETS and S ̃p_c-CONTINUITY in SOFT TOPLOGICAL SPACES

Main Article Content

NEHMAT K. AHMED
Qumri Hayder Hamko

Keywords

soft open set, soft closed set, soft pre-open set, soft p_c-open set, soft p_c-continuous.

Abstract

Abstract:


The main objective of this paper is to introduce  and define a new class of  sets called soft -open sets in soft topological spaces,  which is subclass of soft pre-open sets.  Several properties of this kind of  sets are obtained. By using this soft set we present and study the concept of soft -continuous functions

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References

Akdag, M. & Alkan, A., (2014), Soft -Open
Sets and Soft -Continuous Functions,
Abstract and Applied Analysis, ID 891341,
1-7.

Akdag., M. & Ozkan, A.. (2014), On Soft Pre-
open Sets and Soft Pre Separation Axioms,
Gazi University Journal of Science, GU J
Sci, 27(4):1077-1083.

Hosny, R. A. & Deena, A. (2014), Soft Semi
Open Sets with Respect to Soft Ideals,
Applied Mathematics sciences, Vol. 8, No.
150, 7487-7501.

Ilango, G. & Ravindran, M.. (2013), On Soft
Preopen Sets in Soft Topological Spaces, Int.
Journal Math. Research, Vol. 5, No. 4, 399-
409.


Khalaf, A. & Ahmad, B. (2011), Mappings of
Soft Classes, New Math. Nat. Comput. , 7,
471-481.

Khalaf, A.. & Musa, S. (2015), -Open Sets
in Soft Topological Spaces, Journal of
Garmian University. Vol.1, (1-22).

Molotov, D. 1999, S0ft set theory- first
results, Computer & Mathematics with
Applications, 37, 19-31

Ravindran, M. & Francis, F. (2014), Some
More Results on Soft Preopen Sets In Soft
Topology, Int. Journal of Recent Scientific
Research, Vol12, 2230-2235.

Ravindran, M. & Ilango, G. (2016), A Note
On Soft Pre-open Sets, Int. Journal of Pure and Applied Math. Vol. 106, No. 5, 63-78.


Shabir, M. & Naz, M. (2011), On Soft
Topological Spaces, Computers and
Mathematics with Applications, 61, 1786-
1799.

Yuksel, S. , Guzel, Z. & Tozlu, N. (2014),
Soft Regular Generalized Closed Sets in Soft
Topological Spaces, Int. Journal of Math.
Analysis, Vol. 8, No. 8, 35 – 367.

Yumak Y. & Kkaymakci A., (2015), Soft β-
open sets and their applications, J. of New
Theory, 4, 80-89.

Zorlutuna, M. Akdag, W. & Atmaca, S. (2014),
Remarks on soft topological spaces, Annals
of Fuzzy Mathematics and Informatics, Vol.
3, No. 2, 171- 185