Filterness on soft topological spaces
The soft set theory is introduced as a new mathematical tool for dealing with uncertainty. The soft topology on a soft set and its related properties is presented by Cagman et al. [Computers and Mathematics with Applications 62 (1) (2011) 351]. In this paper, we attempt to broad the theoretical aspects of soft topological spaces and so give soft analogues of many results concerning neighborhoods and closures in ordinary topological spaces. The notions of soft filters, ultra soft filters and bases of a soft filter are introduced and their basic properties are investigated. The adherence and convergence of soft filters in soft topological spaces with related results is also discussed.
soft topology soft filter ultra soft filter adherence convergence base for a soft filter