Soft Ideal Theory Soft Local Function and Generated Soft Topological Spaces

被引：38
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
收藏
页码：1595 / 1603
页数：9
相关论文
共 28 条
  • [1] Ahmad B., 2019, Adv. Fuzzy Syst., P1, DOI DOI 10.1155/2009/586507
  • [2] Soft sets and soft groups
    Aktas, Haci
    Cagman, Naim
    [J]. INFORMATION SCIENCES, 2007, 177 (13) : 2726 - 2735
  • [3] On some new operations in soft set theory
    Ali, M. Irfan
    Feng, Feng
    Liu, Xiaoyan
    Min, Won Keun
    Shabir, M.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (09) : 1547 - 1553
  • [4] Introduction to fuzzy soft groups
    Aygunoglu, Abdulkadir
    Aygun, Halis
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (06) : 1279 - 1286
  • [5] Biswas R, 2001, J Fuzzy Math, V9, P677
  • [6] Cagman N., 2010, TURKISH J FUZZY SYST, V1, P21
  • [7] Soft topology
    Cagman, Naim
    Karatas, Serkan
    Enginoglu, Serdar
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (01) : 351 - 358
  • [8] Soft set theory and uni-int decision making
    Cagman, Naim
    Enginoglu, Serdar
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 207 (02) : 848 - 855
  • [9] Das S., 2013, Ann. Fuzzy Math. Inform., V6, P77
  • [10] Some properties of soft topological spaces
    Hussain, Sabir
    Ahmad, Bashir
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (11) : 4058 - 4067
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