Weighted statistical soft convergence in soft topologies

Abstract

Soft sets and statistical convergence are both mathematical tools with which some generalizations can be made. In this study, we defined the weighted statistical convergence of soft point sequences in soft topological spaces and examined it from some aspects. Furthermore, statistical convergence was attained using $g-$density, a more versatile density function than asymptotic density. Regarding weighted soft statistical convergence concept, we also establish some relationships between soft topology and the classical topology induced from it within the framework of the statistical convergence concept  and some clusters associated with statistical convergence were defined.