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Original Article

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International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(1): 57-65

Published online March 25, 2021

https://doi.org/10.5391/IJFIS.2021.21.1.57

© The Korean Institute of Intelligent Systems

Soft ω*-Paracompactness 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: October 10, 2020; Revised: January 6, 2021; Accepted: January 19, 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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In this study, we introduce a new concept in soft topological spaces, namely, soft ω*-paracompactness, and we provide characterizations thereof. Its connection with other related concepts is also studied. In particular, we show that soft ω*-paracompactness and soft paracompactness are independent of each other. In addition, we study the soft ω*-paracompactness of the soft topological space generated by an indexed family of ω*-paracompact topological spaces.

Keywords: ω-open sets, ω*-paracompact, Soft paracompact, 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 a professor at the Department of Mathematics and Statistics, Jordan University of Science and Technology, Jordan. His research interests 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(1): 57-65

Published online March 25, 2021 https://doi.org/10.5391/IJFIS.2021.21.1.57

Copyright © The Korean Institute of Intelligent Systems.

Soft ω*-Paracompactness 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: October 10, 2020; Revised: January 6, 2021; Accepted: January 19, 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

In this study, we introduce a new concept in soft topological spaces, namely, soft ω*-paracompactness, and we provide characterizations thereof. Its connection with other related concepts is also studied. In particular, we show that soft ω*-paracompactness and soft paracompactness are independent of each other. In addition, we study the soft ω*-paracompactness of the soft topological space generated by an indexed family of ω*-paracompact topological spaces.

Keywords: ω-open sets, ω*-paracompact, Soft paracompact, Generated soft topology

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