Classical F-transform for lattice-valued fuzzy sets can be defined using monadic relation in Zadeh's power set monad or, equivalently, as a special semimodule homomorphism. In this talk, we use an analogical approach and by choosing suitable monads and semimodule homomorphisms we define F-transform for hesitant, intuitionistic or fuzzy soft sets. We prove that these F-transforms naturaly extend classical lattice-valued F-transform for lattice-valued fuzzy sets.