Bipolar vague soft topological structures in term of operators and convergence of sequences

Article type: Research Article

Authors: Saeed, Maha Mohammed^a | Al-Ghour, Samer^b | Mehmood, Arif^c | Al-Shomrani, Mohammed M.^a | Park, Choonkil^{d; *} | Lee, Jung Rye^e

Affiliations: [a] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia | [b] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan | [c] Institute of Numerical Sciences, Department of Mathematics, Gomal University, Dera Ismail Khan, Pakistan | [d] Research Institute for Natural Sciences, Hanyang University, Seoul, Korea | [e] Department of Data Science, Daejin University, Kyunggi, Korea

Correspondence: [*] Corresponding author. Choonkil Park, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea. E-mail: baak@hanyang.ac.kr.

Abstract: This work investigates the new notion of operators, including the interior operator, exterior operator and closure operator in bipolar vague soft topological spaces. On the basis of these notions few results are addressed in bipolar vague soft topological spaces. Lastly, the intriguing concept is that of a sequence’s limit and on the basis of this concept few more results are addressed in bipolar vague soft topological spaces.

Keywords: Bipolar vague soft set, bipolar vague soft operations, bipolar vague soft topological space, bipolar vague soft α-open sets, bipolar vague soft α-close sets, bipolar vague soft operators, bipolar vague soft equence

DOI: 10.3233/JIFS-220498

Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 1, pp. 1099-1116, 2023