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Year 2018, Volume 5, Issue 2, 105 - 113, 29.06.2018
https://doi.org/10.17350/HJSE19030000080

Abstract

References

  • 1. Molodtsov, D. Soft set theory - first results. Comput. Math. Appl. 37 (1999) 19-31.
  • 2. Maji, PK, Biswas, R, Roy, AR. Soft set theory. Comput. Math. Appl. 45 (2003) 555-562.
  • 3. Ali, MI, Feng, F, Liu, X, Min, WK, Shabir, M. On some new operations in soft set theory. Comput. Math. Appl. 57 (2009) 1547-1553.
  • 4. Babitha, KV, Sunil, JJ. Soft set relations and functions. Comput. Math. Appl. 60 (2010) 1840-1849.
  • 5. Kim, YK, Min, WK. Full soft sets and full soft decision systems. J. Intell. Fuzzy Systems 26 (2) (2014) 925-933.
  • 6. Min, WK. Similarity in soft set theory. Appl. Math. Lett. 25 (3) (2012) 310- 314.
  • 7. Munkres, JR. Topology. 2nd, edition. Prentice Hall, Inc. 2000.
  • 8. Yuksel, Ş. General topology. 5th, extended edition. Eğitim Kitabevi Yayınları, 2006 (In Turkish).
  • 9. Shabir, M, Naz, M. On soft topological spaces. Comput. Math. Appl. 61 (7) (2011) 1786-1799.
  • 10. Aktaş, H, Çağman, N. Soft sets and soft groups. Inform. Sci. 177 (13) (2007) 2726-2735.
  • 11. Acar, U., Koyuncu, F., Tanay, B. Soft sets and soft rings. Comput. Math. Appl. 59(11)(2010) 3458-3463.

A New Perspective On Soft Topology

Year 2018, Volume 5, Issue 2, 105 - 113, 29.06.2018
https://doi.org/10.17350/HJSE19030000080

Abstract

In this paper, we approach the concept of soft topology with a different perspective. We define a soft topological space over given initial topological universe as a parameterization of subspaces of a topological space. In addition to this, we define some basic topological concepts such as Hausdorffness, compactness, connectedness for soft topological spaces and study their some properties. We give some results for relations between a topological space and a soft topological space that is defined on it.

References

  • 1. Molodtsov, D. Soft set theory - first results. Comput. Math. Appl. 37 (1999) 19-31.
  • 2. Maji, PK, Biswas, R, Roy, AR. Soft set theory. Comput. Math. Appl. 45 (2003) 555-562.
  • 3. Ali, MI, Feng, F, Liu, X, Min, WK, Shabir, M. On some new operations in soft set theory. Comput. Math. Appl. 57 (2009) 1547-1553.
  • 4. Babitha, KV, Sunil, JJ. Soft set relations and functions. Comput. Math. Appl. 60 (2010) 1840-1849.
  • 5. Kim, YK, Min, WK. Full soft sets and full soft decision systems. J. Intell. Fuzzy Systems 26 (2) (2014) 925-933.
  • 6. Min, WK. Similarity in soft set theory. Appl. Math. Lett. 25 (3) (2012) 310- 314.
  • 7. Munkres, JR. Topology. 2nd, edition. Prentice Hall, Inc. 2000.
  • 8. Yuksel, Ş. General topology. 5th, extended edition. Eğitim Kitabevi Yayınları, 2006 (In Turkish).
  • 9. Shabir, M, Naz, M. On soft topological spaces. Comput. Math. Appl. 61 (7) (2011) 1786-1799.
  • 10. Aktaş, H, Çağman, N. Soft sets and soft groups. Inform. Sci. 177 (13) (2007) 2726-2735.
  • 11. Acar, U., Koyuncu, F., Tanay, B. Soft sets and soft rings. Comput. Math. Appl. 59(11)(2010) 3458-3463.

Details

Primary Language English
Journal Section Research Article
Authors

Mustafa Burç KANDEMİR This is me
Muğla Sıtkı Koçman University, Department of Mathematics, Muğla, Turkey.

Publication Date June 29, 2018
Application Date
Acceptance Date
Published in Issue Year 2018, Volume 5, Issue 2

Cite

Bibtex @ { hjse859939, journal = {Hittite Journal of Science and Engineering}, eissn = {2148-4171}, address = {Hitit Üniversitesi Mühendislik Fakültesi Kuzey Kampüsü Çevre Yolu Bulvarı 19030 Çorum / TÜRKİYE}, publisher = {Hitit University}, year = {2018}, volume = {5}, number = {2}, pages = {105 - 113}, doi = {10.17350/HJSE19030000080}, title = {A New Perspective On Soft Topology}, key = {cite}, author = {Kandemir, Mustafa Burç} }
APA Kandemir, M. B. (2018). A New Perspective On Soft Topology . Hittite Journal of Science and Engineering , 5 (2) , 105-113 . DOI: 10.17350/HJSE19030000080
MLA Kandemir, M. B. "A New Perspective On Soft Topology" . Hittite Journal of Science and Engineering 5 (2018 ): 105-113 <https://dergipark.org.tr/en/pub/hjse/issue/59663/859939>
Chicago Kandemir, M. B. "A New Perspective On Soft Topology". Hittite Journal of Science and Engineering 5 (2018 ): 105-113
RIS TY - JOUR T1 - A New Perspective On Soft Topology AU - Mustafa BurçKandemir Y1 - 2018 PY - 2018 N1 - doi: 10.17350/HJSE19030000080 DO - 10.17350/HJSE19030000080 T2 - Hittite Journal of Science and Engineering JF - Journal JO - JOR SP - 105 EP - 113 VL - 5 IS - 2 SN - -2148-4171 M3 - doi: 10.17350/HJSE19030000080 UR - https://doi.org/10.17350/HJSE19030000080 Y2 - 2022 ER -
EndNote %0 Hittite Journal of Science and Engineering A New Perspective On Soft Topology %A Mustafa Burç Kandemir %T A New Perspective On Soft Topology %D 2018 %J Hittite Journal of Science and Engineering %P -2148-4171 %V 5 %N 2 %R doi: 10.17350/HJSE19030000080 %U 10.17350/HJSE19030000080
ISNAD Kandemir, Mustafa Burç . "A New Perspective On Soft Topology". Hittite Journal of Science and Engineering 5 / 2 (June 2018): 105-113 . https://doi.org/10.17350/HJSE19030000080
AMA Kandemir M. B. A New Perspective On Soft Topology. Hittite J Sci Eng. 2018; 5(2): 105-113.
Vancouver Kandemir M. B. A New Perspective On Soft Topology. Hittite Journal of Science and Engineering. 2018; 5(2): 105-113.
IEEE M. B. Kandemir , "A New Perspective On Soft Topology", Hittite Journal of Science and Engineering, vol. 5, no. 2, pp. 105-113, Jun. 2018, doi:10.17350/HJSE19030000080