Double-framed fuzzy soft version of g-modulur structures

In this paper, we apply the notion of double-framed fuzzy soft set to module theory. We introduce the concept of double-framed fuzzy soft G-modules, fuzzy soft d-ideals of modules and investigate several properties. We give relations between a double-framed fuzzy soft G-modules [DFFSGM] and bipolar fuzzy soft d-ideal [DFFSDI]. We provide a condition for double-framed fuzzy soft G-modules to be a double-framed fuzzy soft d-ideal. We also give characterizations of double-framed fuzzy soft ideal. We consider the concept of strongest double-framed fuzzy relations on double-framed fuzzy soft d-ideals of a module and discuss some related properties.