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Original Article

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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.

Abstract

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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

Conflict of Interest

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

Biography

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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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