Research Article

A New View on Topological Polygroups

Volume: 5 Number: 2 October 31, 2020
EN

A New View on Topological Polygroups

Abstract

Soft set theory, defined by Molodtsov as a novel mathematical tool modeling uncertainty, has been combined with many different discipline fields. In this article, the concept of soft topological polygroups is proposed by examining polygroups, a special class of hypergroups, with a soft topological approach. Also, several results have been obtained by establishing important characterizations related to this concept. Inlast, bypresentingthe definitionof softtopologicalsubpolygroups,someoftheir properties are examined.

Keywords

References

  1. Molodtsov, D. A.(1999). Soft set theory-First results. Comput. Math. Appl., 37(4-5), 19-31.
  2. Marty,F.(1934). SuruneGeneralisation dela NotiondeGroupe.8thCongress MathematiciensScandinaves,Stockholm, pp.45–49.
  3. Aktas, H., Cagman, N.(2007). Soft sets and soft groups. Inform. Sci., 77(13), 2726–2735.
  4. Maji, P. K., Biswas, R., Roy, A. R.(2003). Soft set theory. Comput. Math. Appl., 45(4-5), 555–562.
  5. Kazanci, O., Yilmaz, S., Yamak, S.(2010). Soft sets and soft BCH-algebras. Hacettepe J. Math. Stat., 39, 205–217.
  6. Shabir, M., Naz, M.(2011). On soft topological spaces. Comput. Math. Appl., 61(7), 1786-1799.
  7. Oguz, G., Gursoy, M.H., Icen, I.(2019). On soft topological categories. Hacet. J. Math. Stat., 48(6), 1675–1681.
  8. Jun, Y.B. (2008). Soft BCK/BCI-algebras. Comput. Math. Appl., 56, 1408–1413.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

October 31, 2020

Submission Date

March 29, 2020

Acceptance Date

October 18, 2020

Published in Issue

Year 2020 Volume: 5 Number: 2

APA
Oğuz, G. (2020). A New View on Topological Polygroups. Turkish Journal of Science, 5(2), 110-117. https://izlik.org/JA97NG22GN
AMA
1.Oğuz G. A New View on Topological Polygroups. TJOS. 2020;5(2):110-117. https://izlik.org/JA97NG22GN
Chicago
Oğuz, Gülay. 2020. “A New View on Topological Polygroups”. Turkish Journal of Science 5 (2): 110-17. https://izlik.org/JA97NG22GN.
EndNote
Oğuz G (October 1, 2020) A New View on Topological Polygroups. Turkish Journal of Science 5 2 110–117.
IEEE
[1]G. Oğuz, “A New View on Topological Polygroups”, TJOS, vol. 5, no. 2, pp. 110–117, Oct. 2020, [Online]. Available: https://izlik.org/JA97NG22GN
ISNAD
Oğuz, Gülay. “A New View on Topological Polygroups”. Turkish Journal of Science 5/2 (October 1, 2020): 110-117. https://izlik.org/JA97NG22GN.
JAMA
1.Oğuz G. A New View on Topological Polygroups. TJOS. 2020;5:110–117.
MLA
Oğuz, Gülay. “A New View on Topological Polygroups”. Turkish Journal of Science, vol. 5, no. 2, Oct. 2020, pp. 110-7, https://izlik.org/JA97NG22GN.
Vancouver
1.Gülay Oğuz. A New View on Topological Polygroups. TJOS [Internet]. 2020 Oct. 1;5(2):110-7. Available from: https://izlik.org/JA97NG22GN