Modal-Like Operators in Boolean Lattices, Galois Connections and Fixed Points

@article{Jrvinen2007ModalLikeOI,
  title={Modal-Like Operators in Boolean Lattices, Galois Connections and Fixed Points},
  author={Jouni J{\"a}rvinen and Michiro Kondo and Jari Kortelainen},
  journal={Fundam. Inform.},
  year={2007},
  volume={76},
  pages={129-145}
}
In this work, four modal-like operators on Boolean lattices are introduced and their theory is presented from lattice-theoretical, topological an d lgebraic point of view. It is also shown how rough set approximation operators, modal operators in t emporal logic, and linguistic modifiers determined byL-sets can be interpreted as modal-like operators.