Demir, IzzettinSaldamli, Murat2025-10-112025-10-1120240035-75961945-3795https://doi.org/10.1216/rmj.2024.54.1005https://hdl.handle.net/20.500.12684/21714In a different way than in the literature, we define the concept of a quasicoincident using the bipolar fuzzy soft points we previously proposed (2021) and investigate its basic properties. We introduce the notion of a bipolar fuzzy soft net (for short BFS-net) and give convergence of the BFS-nets in a bipolar fuzzy soft topological space with useful results. We show how a BFS-net is derived from a BFS-filter and obtain a characterization about bipolar fuzzy soft Hausdorff spaces. Based on the idea of quasicoincident, we give a new kind of bipolar fuzzy soft continuity and analyze its relationship with the BFS-nets. We put forward the idea of compactness in the setting of bipolar fuzzy soft sets and characterize it through the contribution of the BFS-subnets. Finally, we present some examples to illustrate the defined concepts.en10.1216/rmj.2024.54.1005info:eu-repo/semantics/closedAccessbipolar fuzzy soft setBFS-netconvergencebipolar fuzzy soft continuitybipolar fuzzy soft Hausdorff spacebipolar fuzzy soft compactnessCONVERGENCE THEORY OF BIPOLAR FUZZY SOFT NETS AND ITS APPLICATIONSArticle544100510222-s2.0-85202689853WOS:001303340300007Q3Q2