Fuzzy Soft W-Hausdorff Spaces

V.M.Vijayalakshmi; Dr.A.Kalaichelvi

doi:https://doi.org/10.14445/22315373/IJMTT-V41P541

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 41 | Number 5 | Year 2017 | Article Id. IJMTT-V41P541 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P541

Fuzzy Soft W-Hausdorff Spaces

V.M.Vijayalakshmi, Dr.A.Kalaichelvi

Abstract

In this paper the definition of W Hausdorff space introduced by Warren, R.H. [2] is extended to fuzzy soft topological spaces in two different ways. It is shown that these two concepts are hereditary and productive.

Keywords

Fuzzy supra topological space, fuzzy supra α-open set, fuzzy supra α-closed set.

References

[1] C. L. Chang, “Fuzzy Topological Spaces”, Journal of Mathematical Analysis and Application, vol. 24, no. 1, pp. 182-190, 1968.
[2] T. E. Gantner, R. C. Steinlage and R. H. Warren, “Compactness in Fuzzy Topological Spaces”, journal of Mathematical Analysis and Applications, vol. 62 pp. 547-562, 1978.
[3] R. Lowen, “Fuzzy Topological Spaces and Fuzzy Compactness”, Journal of Mathematical Analysis and Applications, vol. 56, pp. 621-633, 1976.
[4] P. K. Maji, R. Biswas and A. R. Roy, “Fuzzy Soft Sets”, J. Fuzzy Math., vol. 9, no. 3, pp. 589-602, 2001.
[5] P. K. Maji, R. Biswas and A. R. Roy, “Soft Set Theory”, Computers and Mathematics with Applications, vol. 45, no. 4-5, pp. 555-562, 2003.
[6] D. Molodstov, “Soft Set Theory – First Results”, Computers and Mathematics with Applications, vol. 37, no. 4-5, pp. 19-31, 1999.
[7] B. Pazar Varol and H. Aygun, “Fuzzy Soft Topology”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 3, pp. 407-419, 2012.
[8] S. Roy and T. K. Samanta, “A Not on Fuzzy Soft topological Spaces”, Annals of Fuzzy Mathematics and Informatics, vol. 3, no. 2, pp. 305-311, 2012.
[9] M. Shabir and M. Naz, “On Soft Topological Spaces”, Computers and Mathematics with Applications, vol. 61, no. 7, pp. 1786-1799, 2011.
[10] B. Tanay and M. B. Kandemir, “Topological Structure of Fuzzy Soft Sets”, Computers and Mathematics with Applications, vol. 61, no. 10, pp. 2952-2957, 2011.
[11] C. K. Wong, “Fuzzy Topology : Product and Quotient Theorems”, Journal of Mathematical Analysis and Applications, vol. 45, no. 2, pp. 512-521, 1974.
[12] L. A. Zadeh, “Fuzzy Sets”, Information and Control, vol. 8, pp. 338-353, 1965.
[13] A. Zahedi Khameneh, A. Kilieman and A. R. Salleh, “Fuzzy Soft Product Topology”, Annals. of Fuzzy Mathematics and Informatics, vol. 10, no. 10, pp. 1-20, 2013.

Citation :

V.M.Vijayalakshmi, Dr.A.Kalaichelvi, "Fuzzy Soft W-Hausdorff Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 5, pp. 417-421, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P541