Filter with its applications in fuzzy soft topological spaces

Abstract

In this paper, we introduce the convergence of a fuzzy soft filter with the help of the Q-neighborhoods and study the relations between fuzzy soft nets and fuzzy soft filters. In addition, we use fuzzy soft filters to characterize some basic concepts of a fuzzy soft topological space, such as open sets, closure, T2 separation and continuity.

Keywords

• fuzzy soft set
• fuzzy soft topology
• fuzzy soft net
• fuzzy soft filter
• convergence