Open AccessFilter with its applications in fuzzy soft topological spaces
Author(s) -
Rui Gao,
Jianrong Wu
Publication year - 2020
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2021143
Subject(s) - fuzzy logic , mathematics , closure (psychology) , topological space , filter (signal processing) , convergence (economics) , topology (electrical circuits) , fuzzy control system , soft computing , discrete mathematics , computer science , artificial intelligence , combinatorics , computer vision , economics , market economy , economic growth
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, T 2 separation and continuity.