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Article type: Research Article
Authors: Al-shami, Tareq M.a; b; * | Hosny, Rodyna A.c | Mhemdi, Abdelwahebd | Abu-Gdairi, Radwane | Saleh, Salemf; g
Affiliations: [a] Department of Mathematics, Sana’a University, Sana’a, Yemen | [b] Department of Engineering Mathematics & Physics, Faculty of Engineering & Technology, Future University, Egypt | [c] Department of Mathematics, Zagazig University, Zagazig, Egypt | [d] Department of Mathematics, College of Sciences and Humanities in Aflaj, Prince Sattam Bin Abdulaziz University, Riyadh, Saudi Arabia | [e] Department of Mathematics, Faculty of Science, Zarqa University, Zarqa, Jordan | [f] Department of Mathematics, Hodeidah University, Hodeidah, Yemen | [g] Department of Computer Science, Cihan University-Erbil, Erbil, Iraq
Correspondence: [*] Corresponding author. Tareq M. Al-shami, E-mail: tareqalshami83@gmail.com.
Abstract: The objective of the current article, is introducing the notion of weakly soft b-open subsets (ws b-open) and investigating some of its properties. A lot of relationships between this family of soft sets and some generalizations of soft open sets with some interpretative examples are examined. With extended and hyperconnected soft topologies, various relevant outcomes and several relationships are achieved. By ws b-open and weakly soft b-closed (ws b-closed) sets, the weakly b- interior, weakly b-closure operators are constructed and soft continuity are established with some of their substantial features. Commonly, the methodical relations and results that are lost through this study are discussed. The necessary stipulations to preserve some of these relations and results like extended, full, and hyperconnected soft topology are demonstrated.
Keywords: ws b-open set, extended soft topology, w b-interior and w b-closure operators, ws b-continuous function
DOI: 10.3233/JIFS-230436
Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 5, pp. 7727-7738, 2023
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