Soft Ideal Theory Soft Local Function and Generated Soft Topological Spaces

被引：46

作者：

Kandil, A. ^{[1
]}

Tantawy, O. A. E. ^{[2
]}

El-Sheikh, S. A. ^{[3
]}

Abd El-latif, A. M. ^{[3
]}

机构：

[1] Helwan Univ, Fac Sci, Dept Math, Helwan, Egypt

[2] Zagazig Univ, Fac Sci, Dept Math, Zagazig, Egypt

[3] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt

来源：

APPLIED MATHEMATICS & INFORMATION SCIENCES | 2014年 / 8卷 / 04期

关键词：

Soft set; Soft topological space; Soft interior; Soft closure; Open soft; Closed soft; Soft ideal; Soft local function; *-soft topology; Compatible soft ideal; SETS;

D O I：

10.12785/amis/080413

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to introduce the notion of soft ideal in soft set theory. The concept of soft local function is also introduced. These concepts are discussed with a view to find new soft topologies from the original one. The basic structure, especially a basis for such generated soft topologies also studied here. Finally, the notion of compatibility of soft ideals with soft topologies is introduced and some equivalent conditions concerning this topic are established here.

引用

页码：1595 / 1603

页数：9

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