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
收藏
页码：746 / 752
页数：7
相关论文
共 50 条
  • [21] ON SOFT REGULAR-OPEN(CLOSED) SETS IN SOFT TOPOLOGICAL SPACES
    Hussain, Sabir
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2018, 36 (1-2): : 59 - 68
  • [22] Soft Generalized Closed Sets with Respect to an Ideal in Soft Topological Spaces
    Mustafa, H. I.
    Sleim, F. M.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (02): : 665 - 671
  • [23] Remarks on soft omega-closed sets in soft topological spaces
    Paul, Nirmala Rebecca
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2015, 33 (01): : 181 - 190
  • [24] Boolean Algebra of Soft Q-Sets in Soft Topological Spaces
    Al Ghour, Samer
    APPLIED COMPUTATIONAL INTELLIGENCE AND SOFT COMPUTING, 2022, 2022
  • [25] Analzying the relation between soft sets and topological polygroups
    Mousarezaei, Rasoul
    Davvaz, Bijan
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2023, 41 (03): : 481 - 487
  • [26] Topological structure of generalized rough sets
    Li, Zhaowen
    Xie, Tusheng
    Li, Qingguo
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (06) : 1066 - 1071
  • [27] THE TOPOLOGICAL STRUCTURE IN PARAMETERIZED ROUGH SETS
    Tsang, Eric C. C.
    Zha, Suyun
    PROCEEDINGS OF 2013 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOLS 1-4, 2013, : 687 - 692
  • [28] APPLICATIONS OF SOFT g# SEMI CLOSED SETS IN SOFT TOPOLOGICAL SPACES
    Rajendrakumar, T.
    Roselin, M. S. Sagaya
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2024, 42 (03): : 635 - 646
  • [29] New approach of soft M-open sets in soft topological spaces
    Alzahran, Samirah
    EL-Maghrabi, A. I.
    AL-Juhani, M. A.
    Badr, M. S.
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2023, 35 (01)
  • [30] Some Properties on Soft Simply Star Open Sets in Soft Topological Space
    El Sayed, M.
    Al Qubati, Abdul Gawad A. Q.
    NANOSCIENCE AND NANOTECHNOLOGY LETTERS, 2020, 12 (01) : 113 - 119
12345