BibTex RIS Cite

On New Decompositions of Some Soft Continuity Types

Year 2016, Volume: 5 Issue: 10, 10 - 24, 26.02.2016

Ahu Acikgoz Nihal Tas

Abstract

In this paper, we introduce the concepts of δ - open
soft sets, β∗ - soft sets in a soft topological space and so we define
the notions of δ - soft continuity, β∗ - soft continuity between soft
topological spaces via δ - open, β∗ - soft sets. Also, we obtain
decompositions of semi - soft continuity and α - soft continuity
via δ - soft continuity. Finally, we show that a function is soft
continuous if and only if it is both α - soft continuous and β∗ -
soft continuous

 

Keywords

δ - open soft set δ - soft continuity β∗ - soft set β∗ - soft continuity

References

  • M.I. Ali, F. Feng, X. Liu, W.K. Min, M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications, 57, 1547-1553, 2009.
  • S. Hussain, B. Ahmad, Some properties of soft topological space, Computers and Mathematics with Applications, 62, 4058-4067, 2011.
  • A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, A. M. ABD El-Latif, γ - operation and decompositions of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 7 (2), 181-196, 2014.
  • P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Computers and Mathematics with Applications, 45, 555-562, 2003.
  • D. Molodtsov, Soft set theory - First results, Computers and Mathematics with Applications, 37, 19-31, 1999.
  • M. Shabir, M. Naz, On soft topological spaces, Computers and Mathematics with Applications, 61, 1786-1799, 2011.
  • I. Zorlutuna, M. Akdag, W.K. Min, S.Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3, 171-185, 2012.

Year 2016, Volume: 5 Issue: 10, 10 - 24, 26.02.2016

Ahu Acikgoz Nihal Tas

Abstract

References

  • M.I. Ali, F. Feng, X. Liu, W.K. Min, M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications, 57, 1547-1553, 2009.
  • S. Hussain, B. Ahmad, Some properties of soft topological space, Computers and Mathematics with Applications, 62, 4058-4067, 2011.
  • A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh, A. M. ABD El-Latif, γ - operation and decompositions of some forms of soft continuity in soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 7 (2), 181-196, 2014.
  • P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Computers and Mathematics with Applications, 45, 555-562, 2003.
  • D. Molodtsov, Soft set theory - First results, Computers and Mathematics with Applications, 37, 19-31, 1999.
  • M. Shabir, M. Naz, On soft topological spaces, Computers and Mathematics with Applications, 61, 1786-1799, 2011.
  • I. Zorlutuna, M. Akdag, W.K. Min, S.Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, 3, 171-185, 2012.
There are 7 citations in total.

Details

Journal Section Articles
Authors

Ahu Acikgoz

Nihal Tas

Publication Date February 26, 2016
Published in Issue Year 2016 Volume: 5 Issue: 10

Cite

APA Acikgoz, A., & Tas, N. (2016). On New Decompositions of Some Soft Continuity Types. Journal of New Results in Science, 5(10), 10-24.
AMA Acikgoz A, Tas N. On New Decompositions of Some Soft Continuity Types. JNRS. February 2016;5(10):10-24.
Chicago Acikgoz, Ahu, and Nihal Tas. “On New Decompositions of Some Soft Continuity Types”. Journal of New Results in Science 5, no. 10 (February 2016): 10-24.
EndNote Acikgoz A, Tas N (February 1, 2016) On New Decompositions of Some Soft Continuity Types. Journal of New Results in Science 5 10 10–24.
IEEE A. Acikgoz and N. Tas, “On New Decompositions of Some Soft Continuity Types”, JNRS, vol. 5, no. 10, pp. 10–24, 2016.
ISNAD Acikgoz, Ahu - Tas, Nihal. “On New Decompositions of Some Soft Continuity Types”. Journal of New Results in Science 5/10 (February 2016), 10-24.
JAMA Acikgoz A, Tas N. On New Decompositions of Some Soft Continuity Types. JNRS. 2016;5:10–24.
MLA Acikgoz, Ahu and Nihal Tas. “On New Decompositions of Some Soft Continuity Types”. Journal of New Results in Science, vol. 5, no. 10, 2016, pp. 10-24.
Vancouver Acikgoz A, Tas N. On New Decompositions of Some Soft Continuity Types. JNRS. 2016;5(10):10-24.


EBSCO 30456

Electronic Journals Library EZB   30356

 DOAJ   30355                                             

WorldCat  30357                                             303573035530355

Academindex   30358

SOBİAD   30359

Scilit   30360


29388 As of 2021, JNRS is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).