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Proximity structures via the class of bipolar fuzzy soft sets
(Univ Nis, Fac Sci Math, 2025) Saldamli, Murat; Demir, I. zzettin
In this paper, we first define the concept of a proximity with the help of bipolar fuzzy soft sets and establish some of its properties. Then, we demonstrate the process of generating a bipolar fuzzy soft topology with the aid of a bipolar fuzzy soft proximity (for short BFS-proximity). Moreover, we give a new definition of bipolar fuzzy soft neighborhood based on BFS-proximity, enabling an alternative framework for analyzing the notion of BFS-proximity. Next, by using a family of BFS-proximities, we present the initial BFS-proximity structure. Finally, taking into account the proximity structure in the classical set theory, we derive a BFS-proximity structure and study on its related results.