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Year 2018, Volume: 67 Issue: 2, 209 - 219, 01.08.2018

Abstract

References

  • Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M., On some new operations in soft set theory, Computers and Mathematics with Applications 57, (2009), 1547-1553.
  • Aygünoglu, A. Aygün, H., Some notes on soft topological spaces, Neural Computation and Application, (2011).
  • Akta¸s, H., Ça¼gman, N., Soft sets and soft groups, Information Sciences, 177(1), (2007) 2726
  • Chen, D., Tsang, E. C. C., Yeung, D. S. and Wang, X., The parameterization reduction of soft sets and its applications, Comput. Math. Appl. 49, (2005), 757–763.
  • Ça¼gman, N., Engino¼glu, S., Soft set theory and uni-int decision making, European Journal of Operational Research 207, (2010), 848-855.
  • Dizman, T. et. al., Soft Ditopological Spaces, Filomat 30:1, (2016), 209–222.
  • Georgiou, D. N., Megaritis, A. C. and Petropoulos, V. I., On Soft Topological Spaces, Appl. Math. Inf. Sci. 7, No. 5, (2013), 1889-1901.
  • Georgiou, D. N., Megaritis, A. C., Soft set theory and topology, Appl. Gen. Topol. 15, no. 1, (2014), 93-109.
  • Hussain, S, Ahmad, B, Some properties of soft topological spaces, Comput. Math. Appl. 62, (2011), 4058–4067.
  • Maji, P.K., Biswas, R., Roy, A.R., An Application of Soft Sets in A Decision Making Problem, Computers and Mathematics with Applications 44, (2002), 1077-1083.
  • Maji, P.K., Biswas, R., Roy, A.R., Soft set theory, Computers and Mathematics with Appli- cations 45, (2003), 555-562.
  • Majumdar, P., Samanta, S.K., Similarity measure of soft sets, New Math. Nat. Comput. 4, no. 1, (2008), 1–12.
  • Min, W. K., A note on soft topological spaces, Comput. Math. Appl. 62, (2011), 3524– 3528.
  • Molodtsov, D.A., Soft set theory-…rst results, Computers and Mathematics with Applications , (1999), 19-31.
  • ¸Senel, G., Ça¼gman, N., Soft Topological Subspaces, Annals of Fuzzy Mathematics and Infor- matics, vol.10, no : 4, (2015), 525 - 535.
  • ¸Senel, G., The Theory of Soft Ditopological Spaces, International Journal of Computer Ap- plications 150(4), September (2016), 1-5.
  • ¸Senel, G., A Comparative Research on the De…nition of Soft Point, International Journal of Computer Applications 163(2), (2017) ;1-5.
  • Shabir, M., Naz, M., On soft topological spaces, Computers and Mathematics with Applica- tions 61, (2011), 1786-1799.
  • Zou, Y. and Xiao, Z., Data analysis approaches of soft sets under incomplete information, Know l. Base. Syst. 21, (2008), 941-945.

THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND

Year 2018, Volume: 67 Issue: 2, 209 - 219, 01.08.2018

Abstract

Conditions related to bounds on the relations between soft spaces
appear to be rare in the literature. In this paper, I study the notion of soft
ditopology relates to the soft topology. Firstly, the soft ditopology via soft
set theory is developed by defining soft ditopological subspace. Secondly,
properties concerning to soft interior and soft closure are presented in soft
ditopological subspace. In conclusion, soft subspaces of soft topology and soft
ditopology being coincident have been proved, whence it is readily inferred that
soft ditopological subspace can be obtained from soft topological subspace.

References

  • Ali, M.I., Feng, F., Liu, X., Min, W.K., Shabir, M., On some new operations in soft set theory, Computers and Mathematics with Applications 57, (2009), 1547-1553.
  • Aygünoglu, A. Aygün, H., Some notes on soft topological spaces, Neural Computation and Application, (2011).
  • Akta¸s, H., Ça¼gman, N., Soft sets and soft groups, Information Sciences, 177(1), (2007) 2726
  • Chen, D., Tsang, E. C. C., Yeung, D. S. and Wang, X., The parameterization reduction of soft sets and its applications, Comput. Math. Appl. 49, (2005), 757–763.
  • Ça¼gman, N., Engino¼glu, S., Soft set theory and uni-int decision making, European Journal of Operational Research 207, (2010), 848-855.
  • Dizman, T. et. al., Soft Ditopological Spaces, Filomat 30:1, (2016), 209–222.
  • Georgiou, D. N., Megaritis, A. C. and Petropoulos, V. I., On Soft Topological Spaces, Appl. Math. Inf. Sci. 7, No. 5, (2013), 1889-1901.
  • Georgiou, D. N., Megaritis, A. C., Soft set theory and topology, Appl. Gen. Topol. 15, no. 1, (2014), 93-109.
  • Hussain, S, Ahmad, B, Some properties of soft topological spaces, Comput. Math. Appl. 62, (2011), 4058–4067.
  • Maji, P.K., Biswas, R., Roy, A.R., An Application of Soft Sets in A Decision Making Problem, Computers and Mathematics with Applications 44, (2002), 1077-1083.
  • Maji, P.K., Biswas, R., Roy, A.R., Soft set theory, Computers and Mathematics with Appli- cations 45, (2003), 555-562.
  • Majumdar, P., Samanta, S.K., Similarity measure of soft sets, New Math. Nat. Comput. 4, no. 1, (2008), 1–12.
  • Min, W. K., A note on soft topological spaces, Comput. Math. Appl. 62, (2011), 3524– 3528.
  • Molodtsov, D.A., Soft set theory-…rst results, Computers and Mathematics with Applications , (1999), 19-31.
  • ¸Senel, G., Ça¼gman, N., Soft Topological Subspaces, Annals of Fuzzy Mathematics and Infor- matics, vol.10, no : 4, (2015), 525 - 535.
  • ¸Senel, G., The Theory of Soft Ditopological Spaces, International Journal of Computer Ap- plications 150(4), September (2016), 1-5.
  • ¸Senel, G., A Comparative Research on the De…nition of Soft Point, International Journal of Computer Applications 163(2), (2017) ;1-5.
  • Shabir, M., Naz, M., On soft topological spaces, Computers and Mathematics with Applica- tions 61, (2011), 1786-1799.
  • Zou, Y. and Xiao, Z., Data analysis approaches of soft sets under incomplete information, Know l. Base. Syst. 21, (2008), 941-945.
There are 19 citations in total.

Details

Other ID JA55YF26GJ
Journal Section Research Article
Authors

Güzide Şenel

Publication Date August 1, 2018
Submission Date August 1, 2018
Published in Issue Year 2018 Volume: 67 Issue: 2

Cite

APA Şenel, G. (2018). THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(2), 209-219.
AMA Şenel G. THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. August 2018;67(2):209-219.
Chicago Şenel, Güzide. “THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 2 (August 2018): 209-19.
EndNote Şenel G (August 1, 2018) THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 2 209–219.
IEEE G. Şenel, “THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 2, pp. 209–219, 2018.
ISNAD Şenel, Güzide. “THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/2 (August 2018), 209-219.
JAMA Şenel G. THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:209–219.
MLA Şenel, Güzide. “THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 2, 2018, pp. 209-1.
Vancouver Şenel G. THE RELATION BETWEEN SOFT TOPOLOGICAL SPACE AND. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(2):209-1.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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