THE TOPOLOGICAL STRUCTURE ON SOFT SETS

被引：0

作者：

Li, Zhaowen ^{[1
]}

Chen, Haiyan

Gao, Ninghua

机构：

[1] Guangxi Univ Nationalities, Coll Math & Comp Sci, Nanning 530006, Guangxi, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2013年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Soft sets; Soft approximation spaces; Soft rough approximations; Topologies; Soft approximating spaces;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Soft set theory is a new mathematical tool to deal with uncertain problems. This paper is devoted to investigating relationships between soft sets and topologies. Based on new granulation structures called soft approximation spaces, soft rough approximations are introduced. We give some properties of soft rough approximation. New types of soft sets such as keeping intersection, keeping union and topological soft sets are defined and supported by some illustrative examples. We obtain the topological structure on soft sets and reveal that every topological space on the initial universe is a soft approximating space.

引用

页码：746 / 752

页数：7

共 18 条

[1] Soft sets and soft groups [J].

Aktas, Haci ;

Cagman, Naim .

INFORMATION SCIENCES, 2007, 177 (13) :2726-2735

[2]

Biswas R, 2001, J Fuzzy Math, V9, P677

[3] Generalized open sets [J].

Csaszar, A .

ACTA MATHEMATICA HUNGARICA, 1997, 75 (1-2) :65-87

[4] Generalized topology, generalized continuity [J].

Császár, A .

ACTA MATHEMATICA HUNGARICA, 2002, 96 (04) :351-357

[5]

Engelking R., 1977, GEN TOPOLOGY

[6] Soft sets and soft rough sets [J].

Feng, Feng ;

Liu, Xiaoyan ;

Leoreanu-Fotea, Violeta ;

Jun, Young Bae .

INFORMATION SCIENCES, 2011, 181 (06) :1125-1137

[7] Soft sets combined with fuzzy sets and rough sets: a tentative approach [J].

Feng, Feng ;

Li, Changxing ;

Davvaz, B. ;

Ali, M. Irfan .

SOFT COMPUTING, 2010, 14 (09) :899-911

[8]

Ge X, 2011, J COMPUT ANAL APPL, V13, P881

[9] Extending soft sets with description logics [J].

Jiang, Yuncheng ;

Tang, Yong ;

Chen, Qimai ;

Wang, Ju ;

Tang, Suqin .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) :2087-2096

[10] Topological structure of generalized rough sets [J].

Li, Zhaowen ;

Xie, Tusheng ;

Li, Qingguo .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (06) :1066-1071

← 1 2 →