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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
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Open Access Research Article

Basic properties of soft Np-open sets

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pp. 699–705Vol. 26Issue 4June 2023DOI: 10.47974/JIM-1497XML
Received:
01 Feb 2022
Accepted:
01 Apr 2022
Published Online:
15 Jul 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1497
Pages:
699–705

Abstract

This paper aims to present and study the soft topological properties of soft Np - closure, soft Np -  interior, soft Np -  exterior, and soft Np -  boundary of a soft set using the notion of soft Np- open and soft Np-  closed sets. Also, we discuss the soft product of soft Np-open sets and give examples. 

Keywords

Subject Classifications

05A0505B10

References

[1] D. Molodtsov, Soft Set Theory - First Results, Computers and Mathematics with Applications, 37, 19-31, (1999).
[2] M. Shabir and M. Naz, On Soft Topological Spaces, Computers and Mathematics with Applications, 61, 1786-1799, (2011).
[3] S. Hussain  and B. Ahmad, Some Properties of Soft Topological Spaces, Computers and Mathematics with Applications, 62, 4058 - 4067, (2011).
[4] G. Ilango and M. Ravindran, On Soft Pre-open Sets in Soft Topological Spaces, International Journal of Mathematics Research, 5(4), 399-409, (2013). 
[5] S. I. Mahmood and H. J. Ail, Soft Np- Open Sets in Soft Topological Spaces, Journal of Physics: Conference Series, 1879, 1-10, (2021).
[6] P. K. Maji, R. Biswas and A. R. Roy, Soft Set Theory, Computers and Mathematics with Applications,  45, 555-562, (2003).
[7] I. Zorlutuna, M. Akdag, W. K. Min and S. Atmaca, Remarks on Soft Topological Spaces, Annals of Fuzzy Mathematics and Informatics, 3(2), 171-185, (2012).
[8] S. Bayramov and C. Gunduz, Soft Locally Compact Spaces and Soft Para Compact Spaces, Journal of Mathematics and System Science, 3, 122-130, (2013).
[9] F. Lin, Soft Connected Spaces and Soft Para compact Spaces, International Journal of Mathematics and Computer Science, 7(2), 37-43, (2013).
[10] Shubham Sharma & Ahmed J. Obaid. Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox, Journal of Interdisciplinary Mathematics, 23:4, 843-849, (2020). DOI: 10.1080/09720502.2020.1727611. 
[11] A. Kalavathi & G. Sai Sundara Krishnan. Soft g* closed and soft g*open sets in soft topological spaces, Journal of Interdisciplinary Mathematics, 19:1, 65-82, (2016). DOI: 10.1080/09720502.2015.1103110.

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