Research Article

On defining soft spaces by weak soft neighborhood systems

Volume: 4 Number: 2 March 1, 2016
EN

On defining soft spaces by weak soft neighborhood systems

Abstract

In the present paper, we define the concepts of weak soft neighborhood space, soft $w^{s}( \widetilde{\varphi },\widetilde{\varphi }^{^{\prime
}}) -continuous$, soft $w^{s}-continuous$ and soft $w^{s^{\ast }}-continuous$ on weak soft neighborhood spaces. Finally, we introduce their
basic properties and some examples.

Keywords

References

  1. Aktaş H. and Cağman N., Soft sets and soft group, Information Science 177 (2007) 2726-2735. Bayramov S., Gunduz (Aras) C. and Demirci N., A new approach to inverse and direct systems of soft topological spaces, Maejo International Journal of Science and Technology, 10(01) (2016) 51-65.
  2. Bayramov S. and Gunduz (Aras) C., Soft locally compact spaces and soft paracompact spaces, Journal of Mathematics and System Science, 3 (2013) 122-130.
  3. Csaszar A., Generalized topology, generalized continuity, Acta. Math. Hungar. 96 (2002) 351-357.
  4. Cağman N., Karatao S. and Enginoğlu S., Soft topology, Comput. Math. Appl. (2011) 351-358.
  5. Gunduz A. C., Sonmez A. and C¸ akallı H., On soft Mappings, (to appear).
  6. Maji P. K., Bismas R. and Roy A. R., Soft Set Theory, Comput. Math. Appl. 45 (2003) 555-562.
  7. Min W. K., On weak neighborhood systems and spaces, Acta. Math. Hungar. 121 (3) (2008) 283-292.
  8. Molodtsov D., Soft Set Theory-First Results, Comput. Math. Appl.37 (1999) 19-31.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

March 1, 2016

Submission Date

February 17, 2016

Acceptance Date

April 11, 2016

Published in Issue

Year 1970 Volume: 4 Number: 2

APA
Ozturk, T. Y. (2016). On defining soft spaces by weak soft neighborhood systems. New Trends in Mathematical Sciences, 4(2), 113-124. https://izlik.org/JA44DH78MA
AMA
1.Ozturk TY. On defining soft spaces by weak soft neighborhood systems. New Trends in Mathematical Sciences. 2016;4(2):113-124. https://izlik.org/JA44DH78MA
Chicago
Ozturk, Taha Yasin. 2016. “On Defining Soft Spaces by Weak Soft Neighborhood Systems”. New Trends in Mathematical Sciences 4 (2): 113-24. https://izlik.org/JA44DH78MA.
EndNote
Ozturk TY (March 1, 2016) On defining soft spaces by weak soft neighborhood systems. New Trends in Mathematical Sciences 4 2 113–124.
IEEE
[1]T. Y. Ozturk, “On defining soft spaces by weak soft neighborhood systems”, New Trends in Mathematical Sciences, vol. 4, no. 2, pp. 113–124, Mar. 2016, [Online]. Available: https://izlik.org/JA44DH78MA
ISNAD
Ozturk, Taha Yasin. “On Defining Soft Spaces by Weak Soft Neighborhood Systems”. New Trends in Mathematical Sciences 4/2 (March 1, 2016): 113-124. https://izlik.org/JA44DH78MA.
JAMA
1.Ozturk TY. On defining soft spaces by weak soft neighborhood systems. New Trends in Mathematical Sciences. 2016;4:113–124.
MLA
Ozturk, Taha Yasin. “On Defining Soft Spaces by Weak Soft Neighborhood Systems”. New Trends in Mathematical Sciences, vol. 4, no. 2, Mar. 2016, pp. 113-24, https://izlik.org/JA44DH78MA.
Vancouver
1.Taha Yasin Ozturk. On defining soft spaces by weak soft neighborhood systems. New Trends in Mathematical Sciences [Internet]. 2016 Mar. 1;4(2):113-24. Available from: https://izlik.org/JA44DH78MA