α-inclusions applied to group theory via soft set and logic

Aslıhan SEZGİN; Naim ÇAĞMAN; Filiz ÇITAK

doi:https://doi.org/10.31801/cfsuasmas.420457

Makale detayları

α-inclusions applied to group theory via soft set and logic

Yazarlar:

Aslıhan SEZGİN | Naim ÇAĞMAN | Filiz ÇITAK

Yayıncı:

Ankara University

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.334-352

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000909440

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.420457

Özet:

 

Soft set theory, initiated by Molodtsov, is a tool for modeling various types of uncertainty. In this paper, upper and lower α-inclusions of a soft set are defined. By using these new notions, some analyzes with respect to group theory are made and it is shown that some of the subgroups of a group can be obtained easily with the help of these notions. It is also illustrated that a soft int-group and a soft uni-group can be obtained by its upper α-subgroups and lower α-subgroups, respectively. Furthermore, soft int-group by its family of upper α-subgroups is characterized under a certain equivalence relation. Finally, a new method used to construct a soft int-group with the help of its upper α-subgroups are introduced and an application of this method is given.

Makale detayları

α-inclusions applied to group theory via soft set and logic

Yazarlar: Aslıhan SEZGİN | Naim ÇAĞMAN | Filiz ÇITAK

Yayıncı: Ankara University

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.334-352

Belge Tipi: Makale

Yayın Tarihi: 1/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000909440

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.420457

Sayı

Yazarlar:

Aslıhan SEZGİN | Naim ÇAĞMAN | Filiz ÇITAK

Yayıncı:

Ankara University

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2019 Vol.68 Issue 1, pp.334-352

Belge Tipi:

Makale

Yayın Tarihi:

1/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000909440

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.420457