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International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(2): 159-168

Published online June 25, 2021

https://doi.org/10.5391/IJFIS.2021.21.2.159

© The Korean Institute of Intelligent Systems

Strong Form of Soft Semi-Open Sets in Soft Topological Spaces

Samer Al Ghour

Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

Correspondence to :
Samer Al Ghour (algore@just.edu.jo)

Received: April 19, 2021; Revised: June 3, 2021; Accepted: June 8, 2021

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Soft ωs-open sets as a class of soft sets that lies strictly between soft open sets and soft semi-open sets is introduced. The natural properties of soft ωs-open sets are described. Using soft ωs-open sets, soft ωs-closure and soft ωs-interior as new soft operators are defined and investigated. Furthermore, the relationships regarding generated soft topological spaces and generated topological spaces are studied.

Keywords: Soft ω-open sets, Soft semi-open sets, Soft ωs-open, Generated soft topology

No potential conflict of interest relevant to this article was reported.

Samer Al Ghour received the Ph.D. in Mathematics from University of Jordan, Jordan in 1999. Currently, he is currently a professor at the Department of Mathematics and Statistics, Jordan University of Science and Technology, Jordan. His research interests is include general topology, fuzzy topology, and soft set theory.

E-mail: algore@just.edu.jo


Article

Original Article

International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(2): 159-168

Published online June 25, 2021 https://doi.org/10.5391/IJFIS.2021.21.2.159

Copyright © The Korean Institute of Intelligent Systems.

Strong Form of Soft Semi-Open Sets in Soft Topological Spaces

Samer Al Ghour

Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

Correspondence to:Samer Al Ghour (algore@just.edu.jo)

Received: April 19, 2021; Revised: June 3, 2021; Accepted: June 8, 2021

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Soft ωs-open sets as a class of soft sets that lies strictly between soft open sets and soft semi-open sets is introduced. The natural properties of soft ωs-open sets are described. Using soft ωs-open sets, soft ωs-closure and soft ωs-interior as new soft operators are defined and investigated. Furthermore, the relationships regarding generated soft topological spaces and generated topological spaces are studied.

Keywords: Soft ω-open sets, Soft semi-open sets, Soft ωs-open, Generated soft topology

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