Browse > Article
http://dx.doi.org/10.14317/jami.2018.059

ON SOFT REGULAR-OPEN(CLOSED) SETS IN SOFT TOPOLOGICAL SPACES  

HUSSAIN, SABIR (Department of Mathematics, College of Science, Qassim University)
Publication Information
Journal of applied mathematics & informatics / v.36, no.1_2, 2018 , pp. 59-68 More about this Journal
Abstract
In this paper, We define and explore the characterizations and properties of soft regular open(closed) and soft semi-regular sets in soft topological spaces. The properties of soft extremally disconnected spaces are also introduced and discussed. The findings in this paper will help researcher to enhance and promote further study on soft topology to carry out a general framework for their applications in practical life.
Keywords
Soft topology; soft semi-open(closed) sets; soft semi-interior(closure); soft regular open(closed) sets; soft extremally disconnected space;
Citations & Related Records
연도 인용수 순위
  • Reference
1 B. Ahmad, S. Hussain, On some structures of soft topology, Mathematical Sciences 6 (2012), 7 pages.
2 A. Ayguoglu, H. Aygun, Some notes on soft topological spaces, Neural Computing and Applications 21 (2012), 113-119.   DOI
3 B. Chen, Soft local properties of soft semi-open sets, Discrete Dynamics in Nature and Society 2013, Article ID 298032, 6 pages.
4 B. Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics and Information Sciences 7 (2013), 287-294.
5 S. Hussain, On some soft functions, Mathematical Science Letters 4 (2015), 55-61.
6 S. Hussain, Properties of soft semi-open and soft semi-closed sets, Pensee Journal 76 (2014), 133-143.
7 S. Hussain, A note on soft connectedness, Journal of Egyption Mathematical Society 23 (2015), 6-11. http://dx.doi.org/10.1016/j.joems.2014.02.003.   DOI
8 S. Hussain, On some generalized soft mappings, Hacettepe Journal of Mathematics and Statistics 45 (2016), 743-754.
9 S. Hussain, On some properties of weak soft axioms, Europeon Journal of Pure and Applied Mathematics 10 (2017), 199-210.
10 S. Hussain, B. Ahmad, Soft separation axioms in soft topological spaces, Hacettepe Journal of Mathematics and Statistics 44 (2015), 559-568.
11 S. Hussain, B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications 62 (2011), 4058-4067.   DOI
12 Y.B. Jun, C.H. Park, Applications of soft sets in ideal theory of BCK/BCI-algebras, Information Science 178 (2008), 2466-2475.
13 Y.B. Jun, C.H. Park, Applications of soft sets in Hilbert spaces, Iranian Journal of Fuzzy Systems 6(2) (2009), 55-86.
14 B. Kostek, Soft set approach to subjective assesment of sound quality, IEEE Conference I (1998), 669-676.
15 D. Molodtsov, V.Y. Leonov, D.V. Kovkov, Soft sets technique and its application, Nechetkie Sistemy i Myagkie Vychisleniya 9 (2006), 8-39.
16 P.K. Maji, R. Biswas, R. Roy, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002), 1077-1083.   DOI
17 P.K. Maji, R. Biswas, R. Roy, Soft set theory, Computers and Mathematics with Applications 45 (2003), 555-562.   DOI
18 D. Molodtsov, Soft set theory first results, Computers and Mathematics with Applications 37 (1999), 19-31.
19 D. Pie, D. Miao, From soft sets to information systems, Granular computing, 2005 IEEE Inter. Conf. 2 (2005), 617-621.
20 M. Shabir, M. Naz, On soft topological spaces, Computers and Mathematics with Applications 61 (2011), 1786-1799.   DOI
21 I. Zorlutana, N. Akdag, W. K. Min, Remarks on soft topological spaces, Annals of fuzzy Mathematics and Informatics 3 (2012), 171-185.