Araştırma Makalesi
BibTex RIS Kaynak Göster

Characterization of Soft Sets by  ̃-soft Operations

Yıl 2018, Cilt: 21 Sayı: 3, 707 - 713, 01.09.2018
https://doi.org/10.2339/politeknik.389631

Öz

The purpose of this paper is to introduce new structures of



















-soft sets in soft ditopological (SDT) spaces and study


-soft
operations such as


-soft interior,


-soft closure,


-soft boundary
and


-soft exterior.
This study is therefore organized the analogies between the concepts of


-soft
operations, on the other, are strongly emphasized. Moreover, a result which play
a pivotal role in the characterization of


-soft open sets
is found out.

Kaynakça

  • [1] Molodtsov, D.A., “Soft set theory-first results”, Computers and Mathematics with Applications, 37: 19-31, (1999).
  • [2] Molodtsov, D., Leonov, V.Y., Kovkov, D.V.: “Soft sets technique and its application”. Nechetkie Sistemy i Myagkie Vychisleniya, 1(1): 839, (2006).
  • [3] Maji, P.K., Biswas, R., Roy, A.R., “An Application of Soft Sets in A Decision Making Problem”, Computers and Mathematics with Applications, 44: 1077- 1083, (2002).
  • [4] Maji, P.K., Biswas, R., Roy, A.R., “Soft set theory”, Computers and Mathematics with Applications, 45: 555-562, (2003).
  • [5] Pie, D., Miao, D., “From soft sets to information systems”, Granular Comput, 2005 IEEE Inter. Conf., 2: 617-621, (2005).
  • [6] Chen, D, “The parametrization reduction of soft sets and its applications”, Comput. Math. Appl., 49: 757-763, (2005).
  • [7] Aygünoğlu, A. Aygün, H., “Some notes on soft topological spaces”, Neural Computation and Application, 21: 113-119, (2012).
  • [8] Çağman, N., Karatas, S, Enginoğlu, S., “Soft topology”, Computers & Mathematics with Applications, 62(1): 351-358, (2011).
  • [9] Hussain, S, Ahmad, B., “Some properties of soft topological spaces”, Comput. Math. Appl., 62: 4058-4067, (2011).
  • [10] Shabir, M., Naz, M., “On soft topological spaces”, Computers and Mathematics with Applications, 61: 1786-1799, (2011).
  • [11] Dizman, T. et. al., “Soft Ditopological Spaces”, Filomat, 30(1): 209-222, (2016).
  • [12] Şenel, G., The Theory of Soft Ditopological Spaces, International Journal of Computer Applications, 150(4):1-5, (2016).
  • [13] Aktaş, H., Çağman, N., “Soft sets and soft groups”, Information Sciences, 177(1): 2726-2735, (2007).
  • [14] Ça˘gman, N., Engino˘glu, S., “Soft set theory and uni-int decision making”, European Journal of Operational Research, 207: 848-855, (2010).
  • [15] Şenel, G., “A Comparative Research on the Definition of Soft Point”, International Journal of Computer Applications, 163(2):1-5, (2017).

Characterization of Soft Sets by  ̃-soft Operations

Yıl 2018, Cilt: 21 Sayı: 3, 707 - 713, 01.09.2018
https://doi.org/10.2339/politeknik.389631

Öz

The purpose of this paper is to introduce new structures of



















-soft sets in soft ditopological (SDT) spaces and study


-soft
operations such as


-soft interior,


-soft closure,


-soft boundary
and


-soft exterior.
This study is therefore organized the analogies between the concepts of


-soft
operations, on the other, are strongly emphasized. Moreover, a result which play
a pivotal role in the characterization of


-soft open sets
is found out.

Kaynakça

  • [1] Molodtsov, D.A., “Soft set theory-first results”, Computers and Mathematics with Applications, 37: 19-31, (1999).
  • [2] Molodtsov, D., Leonov, V.Y., Kovkov, D.V.: “Soft sets technique and its application”. Nechetkie Sistemy i Myagkie Vychisleniya, 1(1): 839, (2006).
  • [3] Maji, P.K., Biswas, R., Roy, A.R., “An Application of Soft Sets in A Decision Making Problem”, Computers and Mathematics with Applications, 44: 1077- 1083, (2002).
  • [4] Maji, P.K., Biswas, R., Roy, A.R., “Soft set theory”, Computers and Mathematics with Applications, 45: 555-562, (2003).
  • [5] Pie, D., Miao, D., “From soft sets to information systems”, Granular Comput, 2005 IEEE Inter. Conf., 2: 617-621, (2005).
  • [6] Chen, D, “The parametrization reduction of soft sets and its applications”, Comput. Math. Appl., 49: 757-763, (2005).
  • [7] Aygünoğlu, A. Aygün, H., “Some notes on soft topological spaces”, Neural Computation and Application, 21: 113-119, (2012).
  • [8] Çağman, N., Karatas, S, Enginoğlu, S., “Soft topology”, Computers & Mathematics with Applications, 62(1): 351-358, (2011).
  • [9] Hussain, S, Ahmad, B., “Some properties of soft topological spaces”, Comput. Math. Appl., 62: 4058-4067, (2011).
  • [10] Shabir, M., Naz, M., “On soft topological spaces”, Computers and Mathematics with Applications, 61: 1786-1799, (2011).
  • [11] Dizman, T. et. al., “Soft Ditopological Spaces”, Filomat, 30(1): 209-222, (2016).
  • [12] Şenel, G., The Theory of Soft Ditopological Spaces, International Journal of Computer Applications, 150(4):1-5, (2016).
  • [13] Aktaş, H., Çağman, N., “Soft sets and soft groups”, Information Sciences, 177(1): 2726-2735, (2007).
  • [14] Ça˘gman, N., Engino˘glu, S., “Soft set theory and uni-int decision making”, European Journal of Operational Research, 207: 848-855, (2010).
  • [15] Şenel, G., “A Comparative Research on the Definition of Soft Point”, International Journal of Computer Applications, 163(2):1-5, (2017).
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Araştırma Makalesi
Yazarlar

Güzide Şenel

Yayımlanma Tarihi 1 Eylül 2018
Gönderilme Tarihi 23 Ekim 2017
Yayımlandığı Sayı Yıl 2018 Cilt: 21 Sayı: 3

Kaynak Göster

APA Şenel, G. (2018). Characterization of Soft Sets by  ̃-soft Operations. Politeknik Dergisi, 21(3), 707-713. https://doi.org/10.2339/politeknik.389631
AMA Şenel G. Characterization of Soft Sets by  ̃-soft Operations. Politeknik Dergisi. Eylül 2018;21(3):707-713. doi:10.2339/politeknik.389631
Chicago Şenel, Güzide. “Characterization of Soft Sets by  ̃-Soft Operations”. Politeknik Dergisi 21, sy. 3 (Eylül 2018): 707-13. https://doi.org/10.2339/politeknik.389631.
EndNote Şenel G (01 Eylül 2018) Characterization of Soft Sets by  ̃-soft Operations. Politeknik Dergisi 21 3 707–713.
IEEE G. Şenel, “Characterization of Soft Sets by  ̃-soft Operations”, Politeknik Dergisi, c. 21, sy. 3, ss. 707–713, 2018, doi: 10.2339/politeknik.389631.
ISNAD Şenel, Güzide. “Characterization of Soft Sets by  ̃-Soft Operations”. Politeknik Dergisi 21/3 (Eylül 2018), 707-713. https://doi.org/10.2339/politeknik.389631.
JAMA Şenel G. Characterization of Soft Sets by  ̃-soft Operations. Politeknik Dergisi. 2018;21:707–713.
MLA Şenel, Güzide. “Characterization of Soft Sets by  ̃-Soft Operations”. Politeknik Dergisi, c. 21, sy. 3, 2018, ss. 707-13, doi:10.2339/politeknik.389631.
Vancouver Şenel G. Characterization of Soft Sets by  ̃-soft Operations. Politeknik Dergisi. 2018;21(3):707-13.
 
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