Proximity structures via the class of bipolar fuzzy soft sets

Abstract

In this paper, we first define the concept of a proximity with the help of bipolar fuzzy soft sets (for short BFS-proximity) and establish some of its properties. Then, we demonstrate the process of generating a bipolar fuzzy soft topology (for short BFS-topology) with the aid of a 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.