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Article type: Research Article
Authors: Musa, Sagvan Younisa; * | Asaad, Baravan Abdulmuhsena; b
Affiliations: [a] Department of Mathematics, Faculty of Education, University of Zakho, Zakho, Iraq | [b] Department of Computer Science, College of Science, Cihan University-Duhok, Duhok, Iraq
Correspondence: [*] Corresponding author. Sagvan Younis Musa, Department of Mathematics, Faculty of Education, University of Zakho, Zakho 42002, Iraq. Tel.: +964 7504027318; E-mail: sagvan.musa@uoz.edu.krd.
Abstract: The most significant and fundamental topological property is connectedness (resp. disconnectedness). This property highlights the most important characteristics of topological spaces and helps to distinguish one topology from another. Taking this into consideration, we investigate bipolar hypersoft connectedness (resp. bipolar hypersoft disconnectedness) for bipolar hypersoft topological spaces. With the help of an example, we show that if there exist a non-null, non-whole bipolar hypersoft sets which is both bipolar hypersoft open and bipolar hypersoft closed over 𝒰, then the bipolar hypersoft space need not be a bipolar hypersoft disconnected. Furthermore, we present the concepts of separated bipolar hypersoft sets and bipolar hypersoft hereditary property.
Keywords: Bipolar hypersoft connected (resp. bipolar hypersoft disconnected), bipolar hypersoft topology, bipolar hypersoft sets, separated bipolar hypersoft sets, bipolar hypersoft hereditary property
DOI: 10.3233/JIFS-213009
Journal: Journal of Intelligent & Fuzzy Systems, vol. 43, no. 4, pp. 4095-4105, 2022
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