Soft int-group and its applications to group theory

被引:80
作者
Cagman, Naim [1 ]
Citak, Filiz [1 ]
Aktas, Haci [2 ]
机构
[1] Gaziosmanpasa Univ, Dept Math, Tokat, Turkey
[2] Nevsehir Univ, Dept Math, Nevsehir, Turkey
关键词
Soft sets; Soft int-group; Soft int-subgroup normal soft int-subgroup; alpha-inclusion; SET-THEORY;
D O I
10.1007/s00521-011-0752-x
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we define a soft intersection group (soft int-group) on a soft set. This new concept functions as a bridge among soft set theory, set theory and group theory and shows the effect of soft sets on a group structure in the sense of intersection and inclusion of sets. We then derive the basic properties of soft int-groups and give its applications to group theory.
引用
收藏
页码:S151 / S158
页数:8
相关论文
共 35 条
[1]   Soft sets and soft rings [J].
Acar, Ummahan ;
Koyuncu, Fatih ;
Tanay, Bekir .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (11) :3458-3463
[2]   Soft sets and soft groups [J].
Aktas, Haci ;
Cagman, Naim .
INFORMATION SCIENCES, 2007, 177 (13) :2726-2735
[3]   On some new operations in soft set theory [J].
Ali, M. Irfan ;
Feng, Feng ;
Liu, Xiaoyan ;
Min, Won Keun ;
Shabir, M. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (09) :1547-1553
[4]   Soft substructures of rings, fields and modules [J].
Atagun, Akin Osman ;
Sezgin, Aslihan .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (03) :592-601
[5]   Introduction to fuzzy soft groups [J].
Aygunoglu, Abdulkadir ;
Aygun, Halis .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (06) :1279-1286
[6]  
Çagman N, 2011, IRAN J FUZZY SYST, V8, P137
[7]  
Cagman N., 2010, TURKISH J FUZZY SYST, V1, P21
[8]   Soft set theory and uni-int decision making [J].
Cagman, Naim ;
Enginoglu, Serdar .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 207 (02) :848-855
[9]   Soft matrix theory and its decision making [J].
Cagman, Naim ;
Enginoglu, Serdar .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (10) :3308-3314
[10]   Soft sets and soft rough sets [J].
Feng, Feng ;
Liu, Xiaoyan ;
Leoreanu-Fotea, Violeta ;
Jun, Young Bae .
INFORMATION SCIENCES, 2011, 181 (06) :1125-1137