Research Article

Soft Sets and Soft Topological Notions

Number: 30 March 26, 2020
EN

Soft Sets and Soft Topological Notions

Abstract

In this paper we extend the notions of operations on soft sets to arbitrary collection of soft sets

and introduce the concepts of F{sigma}-soft set and G{sigma} -soft set. Furthermore we give definitions of soft

locally finite, soft discrete, sigma-soft locally finite and sigma-soft closure preserving, relative to an arbitrary

collection of soft sets and study some of their properties

Keywords

References

  1. D. Molodtsov, Soft Set Theory-First Results, Computers and Mathematics with Applications 37 (1999) 19-31.
  2. M, Shabir, M. Naz, On Soft Topological Spaces, Computers and Mathematics with Applications 61 (2011) 1786-1799.
  3. N. Çağman, S. Karataş, S. Enginoğlu, Soft Topology, Computers and Mathematics with Applications 62 (2011) 351-358.
  4. R. A. Hosny, A. M. Abd El-Latif, Soft \mathcal{G}-Compactness in Soft Topological Spaces, Annals of Fuzzy Mathematics and Informatics, 11(6) (2016) 973-987.
  5. S. K. Nazmul and S. K. Samanta, Neighbourhood Properties of Soft Topological Spaces, Annals of Fuzzy Mathematics and Informatics 16(1) (2013) 11-15.
  6. G. Şenel, N. Çağman, Soft Topological Subspaces, Annals of Fuzzy Mathematics and Informatics 10(4) (2015) 525-535.
  7. İ. Zorlutuna, M. Akdağ, W. K. Min, S. Atmaca, Remarks on Soft Topological Spaces, Annals of Fuzzy Mathematics and Informatics 3(2) (2012) 171-185.
  8. O. Tantawy, S. A. El-Sheikh, S. Hamde, Separation Axioms on Soft Topological Spaces, Annals of Fuzzy Mathematics and Informatics 11(4) (2016) 511-525.

Details

Primary Language

English

Subjects

Mathematical Sciences, Applied Mathematics

Journal Section

Research Article

Publication Date

March 26, 2020

Submission Date

November 27, 2018

Acceptance Date

March 22, 2020

Published in Issue

Year 2020 Number: 30

APA
Iguda, A. (2020). Soft Sets and Soft Topological Notions. Journal of New Theory, 30, 21-34. https://izlik.org/JA49CD76NS
AMA
1.Iguda A. Soft Sets and Soft Topological Notions. JNT. 2020;(30):21-34. https://izlik.org/JA49CD76NS
Chicago
Iguda, Abdul. 2020. “Soft Sets and Soft Topological Notions”. Journal of New Theory, nos. 30: 21-34. https://izlik.org/JA49CD76NS.
EndNote
Iguda A (March 1, 2020) Soft Sets and Soft Topological Notions. Journal of New Theory 30 21–34.
IEEE
[1]A. Iguda, “Soft Sets and Soft Topological Notions”, JNT, no. 30, pp. 21–34, Mar. 2020, [Online]. Available: https://izlik.org/JA49CD76NS
ISNAD
Iguda, Abdul. “Soft Sets and Soft Topological Notions”. Journal of New Theory. 30 (March 1, 2020): 21-34. https://izlik.org/JA49CD76NS.
JAMA
1.Iguda A. Soft Sets and Soft Topological Notions. JNT. 2020;:21–34.
MLA
Iguda, Abdul. “Soft Sets and Soft Topological Notions”. Journal of New Theory, no. 30, Mar. 2020, pp. 21-34, https://izlik.org/JA49CD76NS.
Vancouver
1.Abdul Iguda. Soft Sets and Soft Topological Notions. JNT [Internet]. 2020 Mar. 1;(30):21-34. Available from: https://izlik.org/JA49CD76NS

 

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