CONVERGENCE THEORY OF BIPOLAR FUZZY SOFT NETS AND ITS APPLICATIONS

Abstract

In 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.