On bipolar fuzzy soft topology with decision-making

Abstract

In this paper, we bring out the idea of bipolar fuzzy soft topology (BFS-topology) based on bipolar fuzzy soft set (BFS-set). BFS-topology is the generalization of the crisp topology. We discuss certain properties of BFS-topology including, BFS-closure, BFS-interior, BFS-exterior and BFS-frontier by utilizing BFS-points. We study the concept of BFS-subspace, BFS-neighbourhoods and BFS-base for BFS-topology with the help of detailed examples. Furthermore, we use BFS-topology in decision-making by applying an algorithm to deal with unpredictability.